diff --git a/Examples/Tests/Implicit/analysis_1d.py b/Examples/Tests/Implicit/analysis_1d.py
index 3d4fc375bc9..0f00010a505 100755
--- a/Examples/Tests/Implicit/analysis_1d.py
+++ b/Examples/Tests/Implicit/analysis_1d.py
@@ -10,6 +10,7 @@
 # This is a script that analyses the simulation results from
 # the script `inputs_1d`. This simulates a 1D periodic plasma using the implicit solver.
 import os
+import re
 import sys
 
 import numpy as np
@@ -28,7 +29,11 @@
 delta_E = (total_energy - total_energy[0])/total_energy[0]
 max_delta_E = np.abs(delta_E).max()
 
-tolerance_rel = 1.e-14
+if re.match('SemiImplicitPicard_1d', fn):
+    tolerance_rel = 2.5e-5
+elif re.match('ImplicitPicard_1d', fn):
+    # This case should have near machine precision conservation of energy
+    tolerance_rel = 1.e-14
 
 print(f"max change in energy: {max_delta_E}")
 print(f"tolerance: {tolerance_rel}")
diff --git a/Examples/Tests/Implicit/inputs_1d_semiimplicit b/Examples/Tests/Implicit/inputs_1d_semiimplicit
new file mode 100644
index 00000000000..2271a0bb1bc
--- /dev/null
+++ b/Examples/Tests/Implicit/inputs_1d_semiimplicit
@@ -0,0 +1,81 @@
+#################################
+############ CONSTANTS #############
+#################################
+
+my_constants.n0 = 1.e30          # plasma densirty, m^-3
+my_constants.nz = 40             # number of grid cells
+my_constants.Ti = 100.           # ion temperature, eV
+my_constants.Te = 100.           # electron temperature, eV
+my_constants.wpe = q_e*sqrt(n0/(m_e*epsilon0))  # electron plasma frequency, radians/s
+my_constants.de0 = clight/wpe    # skin depth, m
+my_constants.nppcz = 100         # number of particles/cell in z
+my_constants.dt = 0.1/wpe        # time step size, s
+
+#################################
+####### GENERAL PARAMETERS ######
+#################################
+
+max_step = 100
+amr.n_cell = nz
+amr.max_level = 0
+
+geometry.dims = 1
+geometry.prob_lo = 0.0
+geometry.prob_hi = 10.*de0
+boundary.field_lo = periodic
+boundary.field_hi = periodic
+boundary.particle_lo = periodic
+boundary.particle_hi = periodic
+
+#################################
+############ NUMERICS ###########
+#################################
+
+warpx.const_dt = dt
+algo.evolve_scheme = semi_implicit_picard
+algo.max_picard_iterations = 5
+algo.picard_iteration_tolerance = 0.
+algo.current_deposition = esirkepov
+algo.field_gathering = energy-conserving
+algo.particle_shape = 2
+warpx.use_filter = 0
+
+#################################
+############ PLASMA #############
+#################################
+
+particles.species_names = electrons protons
+
+electrons.species_type = electron
+electrons.injection_style = "NUniformPerCell"
+electrons.num_particles_per_cell_each_dim = nppcz
+electrons.profile = constant
+electrons.density = n0
+electrons.momentum_distribution_type = gaussian
+electrons.ux_th = sqrt(Te*q_e/m_e)/clight
+electrons.uy_th = sqrt(Te*q_e/m_e)/clight
+electrons.uz_th = sqrt(Te*q_e/m_e)/clight
+
+protons.species_type = proton
+protons.injection_style = "NUniformPerCell"
+protons.num_particles_per_cell_each_dim = nppcz
+protons.profile = constant
+protons.density = n0
+protons.momentum_distribution_type = gaussian
+protons.ux_th = sqrt(Ti*q_e/m_p)/clight
+protons.uy_th = sqrt(Ti*q_e/m_p)/clight
+protons.uz_th = sqrt(Ti*q_e/m_p)/clight
+
+# Diagnostics
+diagnostics.diags_names = diag1
+diag1.intervals = 100
+diag1.diag_type = Full
+diag1.fields_to_plot = Ex Ey Ez Bx By Bz jx jy jz rho divE
+diag1.electrons.variables = w ux uy uz
+diag1.protons.variables = w ux uy uz
+
+warpx.reduced_diags_names = particle_energy field_energy
+particle_energy.type = ParticleEnergy
+particle_energy.intervals = 1
+field_energy.type = FieldEnergy
+field_energy.intervals = 1
diff --git a/Regression/Checksum/benchmarks_json/BTD_rz.json b/Regression/Checksum/benchmarks_json/BTD_rz.json
index 3110120b70a..01e4c687292 100644
--- a/Regression/Checksum/benchmarks_json/BTD_rz.json
+++ b/Regression/Checksum/benchmarks_json/BTD_rz.json
@@ -1,13 +1,13 @@
 {
   "lev=0": {
-    "Br": 1.8705552174367742e-08,
-    "Bt": 2380179.567792259,
-    "Bz": 2.4079075035536954e-08,
+    "Br": 1.8705552264208163e-08,
+    "Bt": 2380179.5677922587,
+    "Bz": 2.4079077116116535e-08,
     "Er": 497571119514841.25,
-    "Et": 7.048225282653208,
-    "Ez": 137058870936728.17,
+    "Et": 7.048225464720808,
+    "Ez": 137058870936728.28,
     "jr": 0.0,
     "jt": 0.0,
     "jz": 0.0
   }
-}
+}
\ No newline at end of file
diff --git a/Regression/Checksum/benchmarks_json/LaserAccelerationBoost.json b/Regression/Checksum/benchmarks_json/LaserAccelerationBoost.json
index ee19b84c7af..94e243f21a2 100644
--- a/Regression/Checksum/benchmarks_json/LaserAccelerationBoost.json
+++ b/Regression/Checksum/benchmarks_json/LaserAccelerationBoost.json
@@ -1,38 +1,38 @@
 {
-  "beam": {
-    "particle_momentum_x": 3.535284585563231e-19,
-    "particle_momentum_y": 4.403094613346061e-19,
-    "particle_momentum_z": 5.658013779496569e-17,
-    "particle_position_x": 0.008317876520240174,
-    "particle_position_y": 1.1704335094514386,
-    "particle_weight": 62415090744.60765
+  "lev=0": {
+    "Bx": 4818955.485214876,
+    "By": 1752.8017794063862,
+    "Bz": 14516.212849468406,
+    "Ex": 2366115511749.6064,
+    "Ey": 1446112026972328.0,
+    "Ez": 21864189477873.78,
+    "jx": 1996366361598696.5,
+    "jy": 5.312583836700398e+16,
+    "jz": 2.0491352591140016e+16,
+    "rho": 68443961.6079968
   },
   "electrons": {
-    "particle_momentum_x": 2.2135959939611405e-23,
-    "particle_momentum_y": 2.822519730011994e-22,
-    "particle_momentum_z": 5.260625039372931e-22,
-    "particle_position_x": 0.010800577787577741,
-    "particle_position_y": 0.21115060628258137,
+    "particle_momentum_x": 2.2135944672847805e-23,
+    "particle_momentum_y": 2.82245592458273e-22,
+    "particle_momentum_z": 5.260626007649988e-22,
+    "particle_position_x": 0.010800577787630073,
+    "particle_position_y": 0.21115060628317733,
     "particle_weight": 4.121554826246186e+16
   },
   "ions": {
-    "particle_momentum_x": 6.248472008953412e-23,
-    "particle_momentum_y": 4.449200926395666e-22,
-    "particle_momentum_z": 5.768167708374496e-22,
-    "particle_position_x": 0.010800001678510793,
-    "particle_position_y": 0.21114947608115497,
+    "particle_momentum_x": 6.24847236820344e-23,
+    "particle_momentum_y": 4.449097670697282e-22,
+    "particle_momentum_z": 5.768168724446374e-22,
+    "particle_position_x": 0.010800001678510515,
+    "particle_position_y": 0.21114947608115428,
     "particle_weight": 4.121554826246186e+16
   },
-  "lev=0": {
-    "Bx": 4818965.813977506,
-    "By": 1752.781451346485,
-    "Bz": 14516.29947347909,
-    "Ex": 2366115950699.717,
-    "Ey": 1446115205306590.0,
-    "Ez": 21864183756771.12,
-    "jx": 1996366451911408.0,
-    "jy": 5.312642483130767e+16,
-    "jz": 2.049134468340688e+16,
-    "rho": 68443935.06252655
+  "beam": {
+    "particle_momentum_x": 3.5357352601344873e-19,
+    "particle_momentum_y": 4.363147101327531e-19,
+    "particle_momentum_z": 5.658494028187168e-17,
+    "particle_position_x": 0.008314957057032625,
+    "particle_position_y": 1.1704335719922687,
+    "particle_weight": 62415090744.60765
   }
 }
\ No newline at end of file
diff --git a/Regression/Checksum/benchmarks_json/LaserAccelerationRZ.json b/Regression/Checksum/benchmarks_json/LaserAccelerationRZ.json
index 0c6f5242b87..1602058dbdc 100644
--- a/Regression/Checksum/benchmarks_json/LaserAccelerationRZ.json
+++ b/Regression/Checksum/benchmarks_json/LaserAccelerationRZ.json
@@ -1,55 +1,55 @@
 {
   "lev=0": {
-    "Br": 104965.61239547668,
-    "Br_0_real": 0.27473110662919303,
-    "Br_1_imag": 104.10451752777047,
+    "Br": 104965.61239547684,
+    "Br_0_real": 0.2747311066289638,
+    "Br_1_imag": 104.10451752777048,
     "Br_1_real": 104965.62478916143,
-    "Bt": 1296.2723279668432,
-    "Btheta_0_real": 1297.3296772773876,
+    "Bt": 1296.2723277779253,
+    "Btheta_0_real": 1297.3296772773874,
     "Btheta_1_imag": 105725.25398122355,
-    "Btheta_1_real": 141.255481019691,
-    "Bz": 5076.744762384442,
-    "Bz_0_real": 0.4603819957305941,
-    "Bz_1_imag": 1.007360812967319,
+    "Btheta_1_real": 141.2554810196911,
+    "Bz": 5076.74476238461,
+    "Bz_0_real": 0.4603819957306249,
+    "Bz_1_imag": 1.0073608129672305,
     "Bz_1_real": 5076.632351216658,
-    "Er": 273570494222.5625,
+    "Er": 273570493775.55588,
     "Er_0_real": 271974091013.7082,
     "Er_1_imag": 39530787242966.72,
-    "Er_1_real": 42616886403.53066,
-    "Et": 39016542462571.72,
-    "Etheta_0_real": 112249482.93967965,
-    "Etheta_1_imag": 33602799006.8748,
+    "Er_1_real": 42616886403.53069,
+    "Et": 39016542462571.68,
+    "Etheta_0_real": 112249482.93975669,
+    "Etheta_1_imag": 33602799006.874825,
     "Etheta_1_real": 39016517454881.91,
-    "Ez": 511653064866.5733,
+    "Ez": 511653064863.048,
     "Ez_0_real": 496845125310.57947,
-    "Ez_1_imag": 1245709520854.4875,
-    "Ez_1_real": 24849976994.356285,
-    "Jr_0_real": 1264417193501.7915,
+    "Ez_1_imag": 1245709520854.488,
+    "Ez_1_real": 24849976994.356266,
+    "Jr_0_real": 1264417193503.146,
     "Jr_1_imag": 2.3356633334993878e+17,
-    "Jr_1_real": 2272922066062.2944,
+    "Jr_1_real": 2272922066062.586,
     "Jtheta_0_real": 475304056513.7001,
-    "Jtheta_1_imag": 1028929701334.7467,
+    "Jtheta_1_imag": 1028929701334.8286,
     "Jtheta_1_real": 2.1766379427377802e+17,
     "Jz_0_real": 1832468408628522.8,
     "Jz_1_imag": 556484600934089.9,
     "Jz_1_real": 602703622358902.4,
-    "jr": 1749994884866.3667,
-    "jt": 2.176637940885753e+17,
-    "jz": 1954078685186198.5,
-    "rho": 39314210.88334631,
+    "jr": 1749985661974.403,
+    "jt": 2.1766379408857264e+17,
+    "jz": 1954078684852864.2,
+    "rho": 39314210.931097575,
     "rho_0_real": 38889615.839967206,
-    "rho_1_imag": 21546499.619336687,
-    "rho_1_real": 2012888.5658883716
+    "rho_1_imag": 21546499.619336277,
+    "rho_1_real": 2012888.5658883736
   },
   "electrons": {
-    "particle_momentum_x": 1.3203417227476259e-24,
+    "particle_momentum_x": 1.3203417227476271e-24,
     "particle_momentum_y": 4.0070625287284664e-22,
-    "particle_momentum_z": 1.2493391415020164e-23,
+    "particle_momentum_z": 1.2493391415020162e-23,
     "particle_orig_x": 0.026508328457558912,
     "particle_orig_z": 0.04789125000000001,
     "particle_position_x": 0.04160250006680718,
     "particle_position_y": 0.04789125046517409,
-    "particle_theta": 7325.121266775259,
+    "particle_theta": 7325.160426984388,
     "particle_weight": 813672305.532158
   },
   "beam": {
@@ -61,4 +61,4 @@
     "particle_theta": 151.40797316586125,
     "particle_weight": 6241509.074460764
   }
-}
+}
\ No newline at end of file
diff --git a/Regression/Checksum/benchmarks_json/LaserAcceleration_BTD.json b/Regression/Checksum/benchmarks_json/LaserAcceleration_BTD.json
index 6b30064365c..dd224516c5c 100644
--- a/Regression/Checksum/benchmarks_json/LaserAcceleration_BTD.json
+++ b/Regression/Checksum/benchmarks_json/LaserAcceleration_BTD.json
@@ -1,32 +1,32 @@
 {
   "lev=0": {
-    "Bx": 497087553.4743837,
-    "By": 252364344.72213668,
-    "Bz": 16986109.62608196,
-    "Ex": 7.304419665394173e+16,
-    "Ey": 1.4583459400150573e+17,
-    "Ez": 2.261309965998215e+16,
-    "jx": 8.273582439836952e+17,
-    "jy": 2.1044181577417728e+18,
-    "jz": 2.84208498868846e+19,
-    "rho": 91637594416.50476
+    "Bx": 497756265.44724107,
+    "By": 252197580.117894,
+    "Bz": 16988475.5444833,
+    "Ex": 7.299911104263803e+16,
+    "Ey": 1.460116488178734e+17,
+    "Ez": 2.26033100286114e+16,
+    "jx": 8.27644503757345e+17,
+    "jy": 2.1062078409959675e+18,
+    "jz": 2.8491727096438305e+19,
+    "rho": 91863764144.41415
   },
   "electrons": {
-    "particle_momentum_x": 5.922677819206403e-20,
-    "particle_momentum_y": 2.7778096010261295e-19,
-    "particle_momentum_z": 4.183846407463124e-19,
-    "particle_position_x": 0.0025865980636989934,
-    "particle_position_y": 0.002652673793955211,
-    "particle_position_z": 0.18411922027879662,
-    "particle_weight": 1731649095408.5505
+    "particle_momentum_x": 5.76165226700654e-20,
+    "particle_momentum_y": 2.7567389504898156e-19,
+    "particle_momentum_z": 4.134562048099117e-19,
+    "particle_position_x": 0.0025269863605945427,
+    "particle_position_y": 0.0024538321295153346,
+    "particle_position_z": 0.17818421763751244,
+    "particle_weight": 1675789447169.5652
   },
   "beam": {
-    "particle_momentum_x": 1.1925686969448298e-17,
-    "particle_momentum_y": 2.570810132551278e-17,
-    "particle_momentum_z": 5.156190278524037e-14,
-    "particle_position_x": 0.0005608477913384702,
-    "particle_position_y": 0.0008431191912437461,
-    "particle_position_z": 2.9800048756186395,
+    "particle_momentum_x": 1.1926313055043134e-17,
+    "particle_momentum_y": 2.7056205218547404e-17,
+    "particle_momentum_z": 5.1562131494813424e-14,
+    "particle_position_x": 0.000560821518739447,
+    "particle_position_y": 0.000800729816549036,
+    "particle_position_z": 2.9800048650570097,
     "particle_weight": 62415.090744607616
   }
-}
+}
\ No newline at end of file
diff --git a/Regression/Checksum/benchmarks_json/LaserAcceleration_single_precision_comms.json b/Regression/Checksum/benchmarks_json/LaserAcceleration_single_precision_comms.json
index 793d8c11cb3..30eef0cedb7 100644
--- a/Regression/Checksum/benchmarks_json/LaserAcceleration_single_precision_comms.json
+++ b/Regression/Checksum/benchmarks_json/LaserAcceleration_single_precision_comms.json
@@ -1,25 +1,25 @@
 {
+  "lev=0": {
+    "Bx": 5863879.051452597,
+    "By": 2411.5124004699082,
+    "Bz": 116025.40178726945,
+    "Ex": 6267725953308.365,
+    "Ey": 1670763222566621.8,
+    "Ez": 104345977762699.77,
+    "jx": 555688154318027.4,
+    "jy": 1595897074125252.8,
+    "jz": 1045267363178542.9,
+    "rho": 2205684400.3678846
+  },
   "electrons": {
     "particle_initialenergy": 0.0,
-    "particle_momentum_x": 1.7921229236407606e-20,
-    "particle_momentum_y": 7.225825184653885e-20,
-    "particle_momentum_z": 4.231731488281653e-20,
-    "particle_position_x": 0.7139122621535502,
-    "particle_position_y": 0.7150340889556129,
-    "particle_position_z": 1.3175770602802896,
     "particle_regionofinterest": 1936.0,
+    "particle_position_x": 0.7139122620952513,
+    "particle_position_y": 0.7150340902640349,
+    "particle_position_z": 1.317577060220835,
+    "particle_momentum_x": 1.7921232385614662e-20,
+    "particle_momentum_y": 7.22582607277354e-20,
+    "particle_momentum_z": 4.231730764749506e-20,
     "particle_weight": 12926557617.187498
-  },
-  "lev=0": {
-    "Bx": 5863879.02030842,
-    "By": 2411.501904737579,
-    "Bz": 116025.42462998998,
-    "Ex": 6267728094111.663,
-    "Ey": 1670763233105822.0,
-    "Ez": 104345989831222.4,
-    "jx": 555687912108453.8,
-    "jy": 1595896363359136.0,
-    "jz": 1045267552192496.5,
-    "rho": 2205684400.307701
   }
 }
\ No newline at end of file
diff --git a/Regression/Checksum/benchmarks_json/LaserInjectionFromLASYFile_RZ.json b/Regression/Checksum/benchmarks_json/LaserInjectionFromLASYFile_RZ.json
index d98aabd84e9..242cf00f0c3 100644
--- a/Regression/Checksum/benchmarks_json/LaserInjectionFromLASYFile_RZ.json
+++ b/Regression/Checksum/benchmarks_json/LaserInjectionFromLASYFile_RZ.json
@@ -1,12 +1,12 @@
 {
   "lev=0": {
     "Br": 100278645.72225758,
-    "Bz": 2509008.1146699777,
-    "Er": 3.258880159474263,
+    "Bz": 2509008.1146699786,
+    "Er": 3.263343388037509,
     "Et": 3.0045297157982412e+16,
-    "Ez": 0.24010979707502123,
-    "jr": 50.13668665903749,
-    "jt": 4.305139762894391e+17,
+    "Ez": 0.2422526411295923,
+    "jr": 49.67802097760541,
+    "jt": 4.3051397628943917e+17,
     "jz": 0.0
   }
-}
+}
\ No newline at end of file
diff --git a/Regression/Checksum/benchmarks_json/LaserIonAcc2d.json b/Regression/Checksum/benchmarks_json/LaserIonAcc2d.json
index 36b2bc66aed..1678e794683 100644
--- a/Regression/Checksum/benchmarks_json/LaserIonAcc2d.json
+++ b/Regression/Checksum/benchmarks_json/LaserIonAcc2d.json
@@ -1,34 +1,33 @@
 {
-  "electrons": {
-    "particle_momentum_x": 3.856058278845215e-19,
-    "particle_momentum_y": 0.0,
-    "particle_momentum_z": 1.633111056849423e-18,
-    "particle_position_x": 0.008155341094488198,
-    "particle_position_y": 0.03087362289643631,
-    "particle_weight": 2.6462205036771795e+17
-  },
-  "hydrogen": {
-    "particle_momentum_x": 2.237944099185357e-18,
-    "particle_momentum_z": 1.0744000122946915e-18,
-    "particle_orig_x": 0.007768349609375002,
-    "particle_orig_z": 0.035127407226562504,
-    "particle_position_x": 0.007767975241766832,
-    "particle_position_y": 0.03512562609400349,
-    "particle_weight": 2.68584931046923e+17
-  },
   "lev=0": {
     "Bx": 0.0,
-    "By": 11399442.711372176,
+    "By": 11411047.898351602,
     "Bz": 0.0,
-    "Ex": 2033057399920464.5,
+    "Ex": 2031641076084948.5,
     "Ey": 0.0,
-    "Ez": 339244862686685.9,
-    "jx": 1.6477362358927364e+19,
+    "Ez": 334777106874158.8,
+    "jx": 1.6602050255725978e+19,
     "jy": 0.0,
-    "jz": 9.633815033523364e+18,
-    "rho": 68121082972.17873,
-    "rho_electrons": 17448735668294.348,
-    "rho_hydrogen": 17441797017887.941
+    "jz": 9.545451466990307e+18,
+    "rho": 67237998613.86053,
+    "rho_electrons": 17449705826002.385,
+    "rho_hydrogen": 17441792654743.146
+  },
+  "hydrogen": {
+    "particle_momentum_x": 2.2575255298569512e-18,
+    "particle_momentum_z": 1.0773391029868316e-18,
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+    "particle_orig_z": 0.0351975439453125,
+    "particle_position_x": 0.007763034484095496,
+    "particle_position_y": 0.035195761508116416,
+    "particle_weight": 2.6792730619156992e+17
+  },
+  "electrons": {
+    "particle_momentum_x": 3.8463518636930147e-19,
+    "particle_momentum_y": 0.0,
+    "particle_momentum_z": 1.6287398567676136e-18,
+    "particle_position_x": 0.008139313907538123,
+    "particle_position_y": 0.0308605164193468,
+    "particle_weight": 2.647983436428149e+17
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-}
-
+}
\ No newline at end of file
diff --git a/Regression/Checksum/benchmarks_json/PlasmaMirror.json b/Regression/Checksum/benchmarks_json/PlasmaMirror.json
index 9a686e78d56..861f42f2d74 100644
--- a/Regression/Checksum/benchmarks_json/PlasmaMirror.json
+++ b/Regression/Checksum/benchmarks_json/PlasmaMirror.json
@@ -1,29 +1,29 @@
 {
-  "electrons": {
-    "particle_momentum_x": 2.000457748960032e-17,
-    "particle_momentum_y": 0.0,
-    "particle_momentum_z": 2.446670640741138e-17,
-    "particle_position_x": 0.37688793289418476,
-    "particle_position_y": 0.1714047288635171,
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-    "particle_momentum_z": 9.605283484426823e-17,
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-    "particle_weight": 2.9212132379167017e+18
-  },
   "lev=0": {
     "Bx": 0.0,
-    "By": 75294856.83091721,
+    "By": 75293687.71417463,
     "Bz": 0.0,
-    "Ex": 2.081697252453305e+16,
+    "Ex": 2.0817302986029584e+16,
     "Ey": 0.0,
-    "Ez": 2.350511387513211e+16,
-    "jx": 5.496779405360711e+19,
+    "Ez": 2.350518662171605e+16,
+    "jx": 5.496864993586538e+19,
     "jy": 0.0,
-    "jz": 7.159348923050661e+19
+    "jz": 7.159302467888838e+19
+  },
+  "ions": {
+    "particle_momentum_x": 2.8056907319288714e-17,
+    "particle_momentum_y": 0.0,
+    "particle_momentum_z": 9.605283524169195e-17,
+    "particle_position_x": 0.382817129592504,
+    "particle_position_y": 0.1723724272525192,
+    "particle_weight": 2.9212132379167017e+18
+  },
+  "electrons": {
+    "particle_momentum_x": 2.000448978774197e-17,
+    "particle_momentum_y": 0.0,
+    "particle_momentum_z": 2.446668081246458e-17,
+    "particle_position_x": 0.376887964713013,
+    "particle_position_y": 0.17140472970668535,
+    "particle_weight": 2.9041738605998894e+18
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 }
\ No newline at end of file
diff --git a/Regression/Checksum/benchmarks_json/Python_LaserAcceleration.json b/Regression/Checksum/benchmarks_json/Python_LaserAcceleration.json
index 0b0355b7cb6..08969db023e 100644
--- a/Regression/Checksum/benchmarks_json/Python_LaserAcceleration.json
+++ b/Regression/Checksum/benchmarks_json/Python_LaserAcceleration.json
@@ -1,32 +1,32 @@
 {
+  "lev=0": {
+    "Bx": 5866866.518334419,
+    "By": 11175.108378013305,
+    "Bz": 116026.79919117832,
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+    "jx": 555903248104584.56,
+    "jy": 1595980426561245.2,
+    "jz": 1366292265497407.5,
+    "rho": 2206755250.226452
+  },
   "beam": {
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-    "particle_momentum_z": 1.36054441043288e-17,
-    "particle_position_x": 4.058764306495361e-05,
-    "particle_position_y": 3.7888695722549883e-05,
-    "particle_position_z": 0.00019656701118308398,
+    "particle_momentum_x": 4.7075864374777216e-20,
+    "particle_momentum_y": 4.4875025179072e-20,
+    "particle_momentum_z": 1.3605444179112827e-17,
+    "particle_position_x": 4.058764328440382e-05,
+    "particle_position_y": 3.788866110052658e-05,
+    "particle_position_z": 0.00019656700944015084,
     "particle_weight": 6241509.074460764
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   "electrons": {
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-    "particle_momentum_z": 4.231725460173154e-20,
-    "particle_position_x": 0.7139122621161993,
-    "particle_position_y": 0.7150340887578637,
-    "particle_position_z": 1.3175770600690966,
+    "particle_momentum_x": 1.7921232210868553e-20,
+    "particle_momentum_y": 7.225819896136567e-20,
+    "particle_momentum_z": 4.2317254599358777e-20,
+    "particle_position_x": 0.713912262116188,
+    "particle_position_y": 0.7150340887578024,
+    "particle_position_z": 1.31757706006908,
     "particle_weight": 12926557617.187498
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-  "lev=0": {
-    "Bx": 5866866.85492377,
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-    "rho": 2206755250.226321
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 }
\ No newline at end of file
diff --git a/Regression/Checksum/benchmarks_json/Python_LaserAccelerationRZ.json b/Regression/Checksum/benchmarks_json/Python_LaserAccelerationRZ.json
index d4c8d2b0c4e..720148888e2 100644
--- a/Regression/Checksum/benchmarks_json/Python_LaserAccelerationRZ.json
+++ b/Regression/Checksum/benchmarks_json/Python_LaserAccelerationRZ.json
@@ -1,45 +1,54 @@
 {
   "lev=0": {
-    "Br": 142258.01161290862,
-    "Br_0_real": 0.36356680791862006,
-    "Br_1_imag": 115.41915541351702,
+    "Br": 142258.01161290894,
+    "Br_0_real": 0.36356680791855334,
+    "Br_1_imag": 115.41915541351706,
     "Br_1_real": 142258.0180774376,
-    "Bt": 1301.5691011565148,
+    "Bt": 1301.5691003159159,
     "Btheta_0_real": 1299.8813681794945,
     "Btheta_1_imag": 143318.04184449295,
     "Btheta_1_real": 155.37799428725944,
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-    "Bz_0_real": 0.47374186122724626,
-    "Bz_1_imag": 1.140891753831192,
-    "Bz_1_real": 5993.529100973487,
-    "Er": 278531478924.55994,
+    "Bz": 5993.641173367065,
+    "Bz_0_real": 0.4737418612272665,
+    "Bz_1_imag": 1.1408917538312353,
+    "Bz_1_real": 5993.529100973486,
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-    "Er_1_real": 46900731766.21943,
-    "Et": 47328876349791.84,
-    "Etheta_0_real": 135868018.29309198,
-    "Etheta_1_imag": 36802947213.299355,
+    "Er_1_imag": 47911368149173.86,
+    "Er_1_real": 46900731766.219345,
+    "Et": 47328876349791.85,
+    "Etheta_0_real": 135868018.2930996,
+    "Etheta_1_imag": 36802947213.299324,
     "Etheta_1_real": 47328835574237.43,
-    "Ez": 514006688163.9632,
+    "Ez": 514006688162.3537,
     "Ez_0_real": 499008057521.7594,
-    "Ez_1_imag": 1565161964565.9727,
-    "Ez_1_real": 28898941539.846138,
-    "Jr_0_real": 1458783813352.3413,
+    "Ez_1_imag": 1565161964565.9724,
+    "Ez_1_real": 28898941539.846146,
+    "Jr_0_real": 1458783813352.7048,
     "Jr_1_imag": 2.335663323286376e+17,
-    "Jr_1_real": 2725720908169.8604,
-    "Jtheta_0_real": 499386783042.54987,
-    "Jtheta_1_imag": 1179203035377.7158,
+    "Jr_1_real": 2725720908168.6816,
+    "Jtheta_0_real": 499386783042.5499,
+    "Jtheta_1_imag": 1179203035377.2214,
     "Jtheta_1_real": 2.1766371791828432e+17,
     "Jz_0_real": 1832469778455967.8,
     "Jz_1_imag": 621923937700173.0,
     "Jz_1_real": 660910016274555.4,
-    "jr": 2108653492279.1746,
-    "jt": 2.1766371088503258e+17,
-    "jz": 1954236547127886.2,
-    "rho": 39480728.028152466,
+    "jr": 2108641839684.7007,
+    "jt": 2.1766371088502803e+17,
+    "jz": 1954236547059862.2,
+    "rho": 39480728.08547403,
     "rho_0_real": 39055923.162689775,
-    "rho_1_imag": 21660762.696674928,
-    "rho_1_real": 2131498.588887921
+    "rho_1_imag": 21660762.696674515,
+    "rho_1_real": 2131498.5888879234
+  },
+  "electrons": {
+    "particle_momentum_x": 1.237777638089911e-24,
+    "particle_momentum_y": 3.9465600403988994e-22,
+    "particle_momentum_z": 1.0097949593654349e-23,
+    "particle_position_x": 0.04160250006989259,
+    "particle_position_y": 0.047891250488567585,
+    "particle_theta": 7325.162679147719,
+    "particle_weight": 813672305.532158
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   "beam": {
     "particle_momentum_x": 3.8798818966213747e-20,
@@ -49,14 +58,5 @@
     "particle_position_y": 0.0026764363296859625,
     "particle_theta": 151.40797595010355,
     "particle_weight": 6241509.074460764
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-  "electrons": {
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-    "particle_momentum_z": 1.009794959365435e-23,
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-    "particle_theta": 7325.119014611929,
-    "particle_weight": 813672305.532158
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-}
+}
\ No newline at end of file
diff --git a/Regression/Checksum/benchmarks_json/Python_ionization.json b/Regression/Checksum/benchmarks_json/Python_ionization.json
index 35aa2c07a60..31f426aa362 100644
--- a/Regression/Checksum/benchmarks_json/Python_ionization.json
+++ b/Regression/Checksum/benchmarks_json/Python_ionization.json
@@ -1,30 +1,30 @@
 {
+  "lev=0": {
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+    "By": 26296568.434868,
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+    "jx": 1.2111358330750162e+16,
+    "jy": 0.0,
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   "electrons": {
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+    "particle_momentum_x": 4.4206237143449475e-18,
     "particle_momentum_y": 0.0,
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-    "particle_position_x": 0.1095060155214851,
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+    "particle_position_x": 0.11009154442846772,
+    "particle_position_y": 0.6414658436421568,
+    "particle_weight": 3.4450781249999996e-10
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   "ions": {
     "particle_ionizationLevel": 72897.0,
-    "particle_momentum_x": 1.761324019342538e-18,
+    "particle_momentum_x": 1.76132401934254e-18,
     "particle_momentum_y": 0.0,
-    "particle_momentum_z": 3.644887006212893e-23,
-    "particle_position_x": 0.03199998810579664,
-    "particle_position_y": 0.12800000462171646,
+    "particle_momentum_z": 3.644887053263054e-23,
+    "particle_position_x": 0.03200001189420337,
+    "particle_position_y": 0.1280000046901387,
     "particle_weight": 9.999999999999999e-11
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-    "By": 26296568.43487075,
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\ No newline at end of file
diff --git a/Regression/Checksum/benchmarks_json/RefinedInjection.json b/Regression/Checksum/benchmarks_json/RefinedInjection.json
index 8be545f3887..43cc8e3072c 100644
--- a/Regression/Checksum/benchmarks_json/RefinedInjection.json
+++ b/Regression/Checksum/benchmarks_json/RefinedInjection.json
@@ -1,11 +1,27 @@
 {
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-    "particle_position_y": 0.00024387147640533396,
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+  "lev=0": {
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+    "By": 160257.72293376247,
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+    "rho": 278060758.9118884
+  },
+  "lev=1": {
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   "electrons": {
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@@ -15,28 +31,12 @@
     "particle_position_y": 0.3695766840020302,
     "particle_weight": 216500976562500.75
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+    "particle_position_y": 0.0002438714470005561,
+    "particle_weight": 12483018148921.525
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 }
\ No newline at end of file
diff --git a/Regression/Checksum/benchmarks_json/SemiImplicitPicard_1d.json b/Regression/Checksum/benchmarks_json/SemiImplicitPicard_1d.json
new file mode 100644
index 00000000000..2c9859b037d
--- /dev/null
+++ b/Regression/Checksum/benchmarks_json/SemiImplicitPicard_1d.json
@@ -0,0 +1,29 @@
+{
+  "lev=0": {
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+}
diff --git a/Regression/Checksum/benchmarks_json/comoving_2d_psatd_hybrid.json b/Regression/Checksum/benchmarks_json/comoving_2d_psatd_hybrid.json
index d62cd008670..c8571869cd5 100644
--- a/Regression/Checksum/benchmarks_json/comoving_2d_psatd_hybrid.json
+++ b/Regression/Checksum/benchmarks_json/comoving_2d_psatd_hybrid.json
@@ -1,38 +1,38 @@
 {
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+  "lev=0": {
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+    "particle_momentum_y": 2.2042393263043917e-18,
+    "particle_momentum_z": 2.5305214316289944e-16,
+    "particle_position_x": 1.5006580331362074,
+    "particle_position_y": 16.45438830674347,
+    "particle_weight": 1.234867020725368e+18
+  },
+  "beam": {
+    "particle_momentum_x": 6.874634694077579e-19,
+    "particle_momentum_y": 4.374677735660533e-19,
+    "particle_momentum_z": 6.432600800266472e-18,
+    "particle_position_x": 0.0012933700124436584,
+    "particle_position_y": 0.358720803656086,
+    "particle_weight": 3120754537230.3823
   }
 }
\ No newline at end of file
diff --git a/Regression/Checksum/benchmarks_json/galilean_2d_psatd_hybrid.json b/Regression/Checksum/benchmarks_json/galilean_2d_psatd_hybrid.json
index cfd4bc83a85..03cf06b3158 100644
--- a/Regression/Checksum/benchmarks_json/galilean_2d_psatd_hybrid.json
+++ b/Regression/Checksum/benchmarks_json/galilean_2d_psatd_hybrid.json
@@ -1,38 +1,38 @@
 {
-  "beam": {
-    "particle_momentum_x": 7.005046981277183e-19,
-    "particle_momentum_y": 4.375209352729912e-19,
-    "particle_momentum_z": 6.175459223479959e-18,
-    "particle_position_x": 0.001602571749982411,
-    "particle_position_y": 0.35897924403061005,
-    "particle_weight": 3120754537230.3823
+  "lev=0": {
+    "Bx": 1086729.9983020213,
+    "By": 2886537.292820136,
+    "Bz": 264259.5410465989,
+    "Ex": 867382749986595.4,
+    "Ey": 392666737316432.8,
+    "Ez": 146897959667920.22,
+    "jx": 2.7028854305928356e+16,
+    "jy": 8.615938520657634e+16,
+    "jz": 2.7328721771319978e+17,
+    "rho": 915931445.5917195
   },
   "electrons": {
-    "particle_momentum_x": 6.240989852249656e-19,
-    "particle_momentum_y": 1.5790301798509742e-18,
-    "particle_momentum_z": 2.5064352637575283e-16,
-    "particle_position_x": 1.501413662801212,
-    "particle_position_y": 16.523781706919216,
+    "particle_momentum_x": 6.2409905560361695e-19,
+    "particle_momentum_y": 1.5790611507526441e-18,
+    "particle_momentum_z": 2.506435264953701e-16,
+    "particle_position_x": 1.5014136629221837,
+    "particle_position_y": 16.52378170697116,
     "particle_weight": 1.2372401466086835e+18
   },
   "ions": {
-    "particle_momentum_x": 1.4394968631660078e-18,
-    "particle_momentum_y": 1.5967458174525868e-18,
-    "particle_momentum_z": 4.2873406586841774e-13,
-    "particle_position_x": 1.4911814217840753,
-    "particle_position_y": 16.52196497877435,
+    "particle_momentum_x": 1.4394967936107095e-18,
+    "particle_momentum_y": 1.5967629122067375e-18,
+    "particle_momentum_z": 4.287340658682592e-13,
+    "particle_position_x": 1.4911814217840271,
+    "particle_position_y": 16.521964978774346,
     "particle_weight": 1.2372405194129536e+18
   },
-  "lev=0": {
-    "Bx": 1086731.2285090145,
-    "By": 2886537.258822082,
-    "Bz": 264280.80501631316,
-    "Ex": 867382744066315.0,
-    "Ey": 392669698675093.25,
-    "Ez": 146897949570681.72,
-    "jx": 2.7028852724044516e+16,
-    "jy": 8.615686606708202e+16,
-    "jz": 2.7328720244417827e+17,
-    "rho": 915931431.8889401
+  "beam": {
+    "particle_momentum_x": 7.0050974522936195e-19,
+    "particle_momentum_y": 4.374915691594075e-19,
+    "particle_momentum_z": 6.1754662837862646e-18,
+    "particle_position_x": 0.0016025830388130494,
+    "particle_position_y": 0.35897909980539305,
+    "particle_weight": 3120754537230.3823
   }
 }
\ No newline at end of file
diff --git a/Regression/Checksum/benchmarks_json/ionization_boost.json b/Regression/Checksum/benchmarks_json/ionization_boost.json
index cb02eeba5b0..35b2db84a1a 100644
--- a/Regression/Checksum/benchmarks_json/ionization_boost.json
+++ b/Regression/Checksum/benchmarks_json/ionization_boost.json
@@ -1,30 +1,30 @@
 {
+  "lev=0": {
+    "Bx": 0.0,
+    "By": 18263123.342891,
+    "Bz": 0.0,
+    "Ex": 5472992180428804.0,
+    "Ey": 0.0,
+    "Ez": 922.5589707939612,
+    "jx": 12440856508004.96,
+    "jy": 0.0,
+    "jz": 78616.0000011086
+  },
   "electrons": {
-    "particle_momentum_x": 2.137334032699983e-17,
+    "particle_momentum_x": 2.1386770170623736e-17,
     "particle_momentum_y": 0.0,
-    "particle_momentum_z": 1.729179869336611e-17,
-    "particle_position_x": 0.11036860836114047,
-    "particle_position_y": 1.7121959960266107,
-    "particle_weight": 3.075501431906104e-09
+    "particle_momentum_z": 1.7287241262743654e-17,
+    "particle_position_x": 0.11064981928849067,
+    "particle_position_y": 1.7121826057017473,
+    "particle_weight": 3.0755014319061045e-09
   },
   "ions": {
     "particle_ionizationLevel": 52741.0,
-    "particle_momentum_x": 3.63061972838759e-18,
+    "particle_momentum_x": 3.630619728387593e-18,
     "particle_momentum_y": 0.0,
     "particle_momentum_z": 1.0432995297946715e-13,
-    "particle_position_x": 0.021440031727258925,
+    "particle_position_x": 0.021439968272741083,
     "particle_position_y": 0.4742770090248555,
     "particle_weight": 5.000948082142308e-10
-  },
-  "lev=0": {
-    "Bx": 0.0,
-    "By": 18263123.342890996,
-    "Bz": 0.0,
-    "Ex": 5472992180428804.0,
-    "Ey": 0.0,
-    "Ez": 922.6036749671132,
-    "jx": 12440856508004.96,
-    "jy": 0.0,
-    "jz": 78616.00000110848
   }
-}
+}
\ No newline at end of file
diff --git a/Regression/Checksum/benchmarks_json/ionization_lab.json b/Regression/Checksum/benchmarks_json/ionization_lab.json
index f1be9ec3017..82984141b59 100644
--- a/Regression/Checksum/benchmarks_json/ionization_lab.json
+++ b/Regression/Checksum/benchmarks_json/ionization_lab.json
@@ -1,31 +1,31 @@
 {
-  "electrons": {
-    "particle_momentum_x": 4.407898469197755e-18,
-    "particle_momentum_y": 0.0,
-    "particle_momentum_z": 2.642991174223682e-18,
-    "particle_orig_z": 0.43016526372226926,
-    "particle_position_x": 0.1095015206652257,
-    "particle_position_y": 0.6413864600981052,
-    "particle_weight": 3.443203125e-10
+  "lev=0": {
+    "Bx": 0.0,
+    "By": 26296568.434868,
+    "Bz": 0.0,
+    "Ex": 7878103122971888.0,
+    "Ey": 0.0,
+    "Ez": 3027.995293554467,
+    "jx": 1.2111358330750162e+16,
+    "jy": 0.0,
+    "jz": 1.3575651149270143e-07
   },
   "ions": {
     "particle_ionizationLevel": 72897.0,
-    "particle_momentum_x": 1.761324005206226e-18,
+    "particle_momentum_x": 1.7613240052056494e-18,
     "particle_momentum_y": 0.0,
-    "particle_momentum_z": 3.618696690270335e-23,
-    "particle_position_x": 0.03199998819289686,
+    "particle_momentum_z": 3.6186967375178554e-23,
+    "particle_position_x": 0.0320000118071032,
     "particle_position_y": 0.12800000462171646,
     "particle_weight": 9.999999999999999e-11
   },
-  "lev=0": {
-    "Bx": 0.0,
-    "By": 26296568.43487075,
-    "Bz": 0.0,
-    "Ex": 7878103122973058.0,
-    "Ey": 0.0,
-    "Ez": 3027.995293554496,
-    "jx": 1.2111358333819302e+16,
-    "jy": 0.0,
-    "jz": 1.346772722412443e-07
+  "electrons": {
+    "particle_momentum_x": 4.428135211584547e-18,
+    "particle_momentum_y": 0.0,
+    "particle_momentum_z": 2.6627518442038486e-18,
+    "particle_orig_z": 0.43043207622230534,
+    "particle_position_x": 0.11023346490802505,
+    "particle_position_y": 0.6417814148540429,
+    "particle_weight": 3.44453125e-10
   }
-}
+}
\ No newline at end of file
diff --git a/Regression/Checksum/benchmarks_json/restart.json b/Regression/Checksum/benchmarks_json/restart.json
index 9ed02d0faad..d8aa0788997 100644
--- a/Regression/Checksum/benchmarks_json/restart.json
+++ b/Regression/Checksum/benchmarks_json/restart.json
@@ -1,12 +1,15 @@
 {
-  "beam": {
-    "particle_momentum_x": 4.178482505909375e-19,
-    "particle_momentum_y": 4.56492260137707e-19,
-    "particle_momentum_z": 2.733972888170628e-17,
-    "particle_position_x": 0.0003995213395426269,
-    "particle_position_y": 0.0004148795632360405,
-    "particle_position_z": 1.9019426942919677,
-    "particle_weight": 3120754537.230381
+  "lev=0": {
+    "Bx": 115361.74185283793,
+    "By": 242516.32397638055,
+    "Bz": 62078.1602361236,
+    "Ex": 119701543932824.69,
+    "Ey": 20420953176049.12,
+    "Ez": 53561498853753.336,
+    "jx": 2.1550943713704252e+16,
+    "jy": 328452566832977.2,
+    "jz": 4525238578330174.0,
+    "rho": 22112877.392750103
   },
   "driver": {
     "particle_momentum_x": 4.700436405078562e+21,
@@ -26,34 +29,31 @@
     "particle_position_z": 0.4899808854005956,
     "particle_weight": 6241509074.460762
   },
-  "lev=0": {
-    "Bx": 115361.85363382133,
-    "By": 242516.41036288123,
-    "Bz": 62078.12299476949,
-    "Ex": 119701563770527.33,
-    "Ey": 20420746160110.2,
-    "Ez": 53561518084714.88,
-    "jx": 2.155094272131813e+16,
-    "jy": 328438528912277.4,
-    "jz": 4525204093100645.0,
-    "rho": 22113102.212642767
+  "beam": {
+    "particle_momentum_x": 4.178482505909375e-19,
+    "particle_momentum_y": 4.56492260137707e-19,
+    "particle_momentum_z": 2.733972888170628e-17,
+    "particle_position_x": 0.0003995213395426269,
+    "particle_position_y": 0.0004148795632360405,
+    "particle_position_z": 1.9019426942919677,
+    "particle_weight": 3120754537.230381
   },
-  "plasma_e": {
-    "particle_momentum_x": 2.6421618201433585e-19,
-    "particle_momentum_y": 1.3141433018232061e-20,
-    "particle_momentum_z": 2.6326692402728787e-17,
-    "particle_position_x": 0.49916042906025937,
-    "particle_position_y": 0.4991834641855549,
-    "particle_position_z": 0.45626372602154797,
+  "plasma_p": {
+    "particle_momentum_x": 2.6392309174575904e-19,
+    "particle_momentum_y": 5.301543151656233e-21,
+    "particle_momentum_z": 4.829600619848831e-14,
+    "particle_position_x": 0.4991250033821341,
+    "particle_position_y": 0.49912499879083855,
+    "particle_position_z": 0.4563845472726038,
     "particle_weight": 33067341227104.594
   },
-  "plasma_p": {
-    "particle_momentum_x": 2.639231047445633e-19,
-    "particle_momentum_y": 5.302522423284582e-21,
-    "particle_momentum_z": 4.829600619851657e-14,
-    "particle_position_x": 0.4991250033821394,
-    "particle_position_y": 0.49912499879083844,
-    "particle_position_z": 0.45638454727260425,
+  "plasma_e": {
+    "particle_momentum_x": 2.6421607111722265e-19,
+    "particle_momentum_y": 1.3141424232991868e-20,
+    "particle_momentum_z": 2.6326692443085376e-17,
+    "particle_position_x": 0.49916042919135184,
+    "particle_position_y": 0.49918346422905135,
+    "particle_position_z": 0.4562637258155577,
     "particle_weight": 33067341227104.594
   }
 }
\ No newline at end of file
diff --git a/Regression/Checksum/benchmarks_json/restart_psatd.json b/Regression/Checksum/benchmarks_json/restart_psatd.json
index 81df3c64c4c..d22fb5b57e7 100644
--- a/Regression/Checksum/benchmarks_json/restart_psatd.json
+++ b/Regression/Checksum/benchmarks_json/restart_psatd.json
@@ -1,4 +1,16 @@
 {
+  "lev=0": {
+    "Bx": 116102.13010406512,
+    "By": 245467.5412026496,
+    "Bz": 65305.35287114741,
+    "Ex": 118565481099326.73,
+    "Ey": 18640100573642.96,
+    "Ez": 51777969821120.38,
+    "jx": 2.1177246490642464e+16,
+    "jy": 351544815339900.3,
+    "jz": 4573466562652713.0,
+    "rho": 22294533.587530266
+  },
   "beam": {
     "particle_momentum_x": 4.178482505909375e-19,
     "particle_momentum_y": 4.56492260137707e-19,
@@ -26,34 +38,22 @@
     "particle_position_z": 0.4899808854005956,
     "particle_weight": 6241509074.460762
   },
-  "lev=0": {
-    "Bx": 116102.28415732287,
-    "By": 245468.57438100342,
-    "Bz": 65305.38781838063,
-    "Ex": 118565257880521.4,
-    "Ey": 18640027127418.004,
-    "Ez": 51777964618631.914,
-    "jx": 2.1177240176169996e+16,
-    "jy": 351529204246424.9,
-    "jz": 4573419547907262.0,
-    "rho": 22294773.912022192
-  },
   "plasma_e": {
-    "particle_momentum_x": 2.0912370354448323e-19,
-    "particle_momentum_y": 1.3510736736168866e-20,
-    "particle_momentum_z": 2.633607024821822e-17,
-    "particle_position_x": 0.4991733347875822,
-    "particle_position_y": 0.49919828067421096,
-    "particle_position_z": 0.4562416755755165,
+    "particle_momentum_x": 2.0912364079892767e-19,
+    "particle_momentum_y": 1.3510804924903876e-20,
+    "particle_momentum_z": 2.6336070297356917e-17,
+    "particle_position_x": 0.49917333523960167,
+    "particle_position_y": 0.49919828074154127,
+    "particle_position_z": 0.45624167532314724,
     "particle_weight": 33067341227104.625
   },
   "plasma_p": {
-    "particle_momentum_x": 2.105303160755537e-19,
-    "particle_momentum_y": 3.3281768098792752e-21,
-    "particle_momentum_z": 4.829599953650214e-14,
-    "particle_position_x": 0.4991250029759827,
-    "particle_position_y": 0.49912499825258744,
-    "particle_position_z": 0.4563845470979585,
+    "particle_momentum_x": 2.1053025446547977e-19,
+    "particle_momentum_y": 3.3272838305044046e-21,
+    "particle_momentum_z": 4.829599953646669e-14,
+    "particle_position_x": 0.49912500297599893,
+    "particle_position_y": 0.49912499825258866,
+    "particle_position_z": 0.45638454709795806,
     "particle_weight": 33067341227104.625
   }
 }
\ No newline at end of file
diff --git a/Regression/Checksum/benchmarks_json/restart_psatd_time_avg.json b/Regression/Checksum/benchmarks_json/restart_psatd_time_avg.json
index 344495f8144..50971f0d45e 100644
--- a/Regression/Checksum/benchmarks_json/restart_psatd_time_avg.json
+++ b/Regression/Checksum/benchmarks_json/restart_psatd_time_avg.json
@@ -1,4 +1,25 @@
 {
+  "lev=0": {
+    "Bx": 115622.1878941125,
+    "By": 243403.66715242947,
+    "Bz": 63602.66529020351,
+    "Ex": 117118934931289.56,
+    "Ey": 18448377440588.27,
+    "Ez": 50821967818817.24,
+    "jx": 2.1044522674691452e+16,
+    "jy": 329314843111847.94,
+    "jz": 4524787623275627.0,
+    "rho": 22128883.53068064
+  },
+  "driverback": {
+    "particle_momentum_x": 4.813131349021332e+21,
+    "particle_momentum_y": 5.16548074090123e+21,
+    "particle_momentum_z": 3.005830430844926e+25,
+    "particle_position_x": 0.001649481123084974,
+    "particle_position_y": 0.0016172218745428432,
+    "particle_position_z": 0.4899808854005956,
+    "particle_weight": 6241509074.460762
+  },
   "beam": {
     "particle_momentum_x": 4.178482505909375e-19,
     "particle_momentum_y": 4.56492260137707e-19,
@@ -8,6 +29,24 @@
     "particle_position_z": 1.901942694291968,
     "particle_weight": 3120754537.230381
   },
+  "plasma_e": {
+    "particle_momentum_x": 1.9905288525315664e-19,
+    "particle_momentum_y": 1.2685401564810352e-20,
+    "particle_momentum_z": 2.6334746597885943e-17,
+    "particle_position_x": 0.4991702885212871,
+    "particle_position_y": 0.4991949978513417,
+    "particle_position_z": 0.4562491611716817,
+    "particle_weight": 33067341227104.625
+  },
+  "plasma_p": {
+    "particle_momentum_x": 2.002897995377179e-19,
+    "particle_momentum_y": 2.87423099731012e-21,
+    "particle_momentum_z": 4.8296000849128737e-14,
+    "particle_position_x": 0.49912500259846493,
+    "particle_position_y": 0.4991249979476612,
+    "particle_position_z": 0.45638454712861487,
+    "particle_weight": 33067341227104.625
+  },
   "driver": {
     "particle_momentum_x": 4.700436405078562e+21,
     "particle_momentum_y": 4.6785862113093076e+21,
@@ -16,44 +55,5 @@
     "particle_position_y": 0.0016212373149699414,
     "particle_position_z": 0.30417779498653386,
     "particle_weight": 6241509074.460762
-  },
-  "driverback": {
-    "particle_momentum_x": 4.813131349021332e+21,
-    "particle_momentum_y": 5.16548074090123e+21,
-    "particle_momentum_z": 3.005830430844926e+25,
-    "particle_position_x": 0.001649481123084974,
-    "particle_position_y": 0.0016172218745428432,
-    "particle_position_z": 0.4899808854005956,
-    "particle_weight": 6241509074.460762
-  },
-  "lev=0": {
-    "Bx": 115622.38124168929,
-    "By": 243405.25199746038,
-    "Bz": 63602.713209078014,
-    "Ex": 117118723119070.72,
-    "Ey": 18448325716024.688,
-    "Ez": 50821980097172.29,
-    "jx": 2.104451599585796e+16,
-    "jy": 329301545706958.4,
-    "jz": 4524740919108259.0,
-    "rho": 22129124.901803844
-  },
-  "plasma_e": {
-    "particle_momentum_x": 1.9905296213155052e-19,
-    "particle_momentum_y": 1.2685326003720766e-20,
-    "particle_momentum_z": 2.6334746549552728e-17,
-    "particle_position_x": 0.4991702881158205,
-    "particle_position_y": 0.4991949977965001,
-    "particle_position_z": 0.45624916139143146,
-    "particle_weight": 33067341227104.625
-  },
-  "plasma_p": {
-    "particle_momentum_x": 2.0028987523417718e-19,
-    "particle_momentum_y": 2.875037979316222e-21,
-    "particle_momentum_z": 4.8296000849162443e-14,
-    "particle_position_x": 0.49912500259844994,
-    "particle_position_y": 0.4991249979476608,
-    "particle_position_z": 0.4563845471286154,
-    "particle_weight": 33067341227104.625
   }
 }
\ No newline at end of file
diff --git a/Regression/WarpX-tests.ini b/Regression/WarpX-tests.ini
index da05ed4d5bc..7273140a369 100644
--- a/Regression/WarpX-tests.ini
+++ b/Regression/WarpX-tests.ini
@@ -4479,3 +4479,20 @@ compileTest = 0
 doVis = 0
 compareParticles = 1
 analysisRoutine = Examples/Tests/Implicit/analysis_1d.py
+
+[SemiImplicitPicard_1d]
+buildDir = .
+inputFile = Examples/Tests/Implicit/inputs_1d_semiimplicit
+runtime_params = warpx.abort_on_warning_threshold=high
+dim = 1
+addToCompileString =
+cmakeSetupOpts = -DWarpX_DIMS=1
+restartTest = 0
+useMPI = 1
+numprocs = 2
+useOMP = 0
+numthreads = 1
+compileTest = 0
+doVis = 0
+compareParticles = 1
+analysisRoutine = Examples/Tests/Implicit/analysis_1d.py