Details

analyze1.0s (10%)

Algorithm

1×	search
2×	egg-herbie

Rules

6×	`*-commutative_binary64_1032` `+-commutative_binary64_1031`
1×	`swap-x.im-y.re` `swap-x.re-y.im`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `log-pow_binary64_1190` `log-rec_binary64_1189` `log-div_binary64_1188` `log-prod_binary64_1187` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `unpow3_binary64_1167` `unpow2_binary64_1166` `unpow1/2_binary64_1165` `pow-plus_binary64_1164` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow1_binary64_1159` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `exp-prod_binary64_1153` `div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `exp-sum_binary64_1147` `e-exp-1_binary64_1146` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-unmult_binary64_1138` `cube-mult_binary64_1131` `cube-div_binary64_1130` `cube-prod_binary64_1129` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `times-frac_binary64_1107` `div-sub_binary64_1106` `neg-mul-1_binary64_1097` `neg-sub0_binary64_1096` `unsub-neg_binary64_1095` `sub-neg_binary64_1094` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `-rgt-identity_binary64_1091` `-lft-identity_binary64_1090` `remove-double-neg_binary64_1089` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-rgt-identity_binary64_1086` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `pow-sqr_binary64_1074` `sqr-pow_binary64_1073` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `difference-of-squares_binary64_1070` `unswap-sqr_binary64_1069` `swap-sqr_binary64_1068` `cancel-sign-sub-inv_binary64_1067` `cancel-sign-sub_binary64_1066` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-neg-in_binary64_1062` `distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060` `distribute-rgt-neg-in_binary64_1059` `distribute-lft-neg-in_binary64_1058` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-rgt-out--_binary64_1055` `distribute-rgt-out_binary64_1054` `distribute-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `count-2_binary64_1049` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `associate-l/_binary64_1044` `associate-r/_binary64_1043` `associate-l_binary64_1042` `associate-r*_binary64_1041` `associate--r-_binary64_1040` `associate--l-_binary64_1039` `associate--l+_binary64_1038` `associate--r+_binary64_1037` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035` `associate-+l+_binary64_1034` `associate-+r+_binary64_1033`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	98
1	25	98
2	25	98
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
25%	74.9%	0.2%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Symmetry

(sort x.re y.im)

(sort x.im y.re)

Compiler

Compiled 8 to 8 computations (0% saved)

sample37.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	60×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64_1032`
1×	`+-commutative_binary64_1031`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `log-pow_binary64_1190` `log-rec_binary64_1189` `log-div_binary64_1188` `log-prod_binary64_1187` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `unpow3_binary64_1167` `unpow2_binary64_1166` `unpow1/2_binary64_1165` `pow-plus_binary64_1164` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow1_binary64_1159` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `exp-prod_binary64_1153` `div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `exp-sum_binary64_1147` `e-exp-1_binary64_1146` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-unmult_binary64_1138` `cube-mult_binary64_1131` `cube-div_binary64_1130` `cube-prod_binary64_1129` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `times-frac_binary64_1107` `div-sub_binary64_1106` `neg-mul-1_binary64_1097` `neg-sub0_binary64_1096` `unsub-neg_binary64_1095` `sub-neg_binary64_1094` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `-rgt-identity_binary64_1091` `-lft-identity_binary64_1090` `remove-double-neg_binary64_1089` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-rgt-identity_binary64_1086` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `pow-sqr_binary64_1074` `sqr-pow_binary64_1073` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `difference-of-squares_binary64_1070` `unswap-sqr_binary64_1069` `swap-sqr_binary64_1068` `cancel-sign-sub-inv_binary64_1067` `cancel-sign-sub_binary64_1066` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-neg-in_binary64_1062` `distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060` `distribute-rgt-neg-in_binary64_1059` `distribute-lft-neg-in_binary64_1058` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-rgt-out--_binary64_1055` `distribute-rgt-out_binary64_1054` `distribute-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `count-2_binary64_1049` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `associate-l/_binary64_1044` `associate-r/_binary64_1043` `associate-l_binary64_1042` `associate-r*_binary64_1041` `associate--r-_binary64_1040` `associate--l-_binary64_1039` `associate--l+_binary64_1038` `associate--r+_binary64_1037` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035` `associate-+l+_binary64_1034` `associate-+r+_binary64_1033`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	13	14
2	13	14

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 7 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_1140`
1×	`sum-log_binary64_1192` `pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `flip3-+_binary64_1104` `*-un-lft-identity_binary64_1101` `flip-+_binary64_1075` `+-commutative_binary64_1031`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))

Compiler

Compiled 178 to 42 computations (76.4% saved)

series210.0ms (2.1%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

197.0ms

(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))

Compiler

Compiled 324 to 235 computations (27.5% saved)

simplify111.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

750×	`unsub-neg_binary64_1095`
663×	`distribute-rgt-in_binary64_1051`
556×	`distribute-lft-in_binary64_1050`
351×	`distribute-rgt-out_binary64_1054`
334×	`*-commutative_binary64_1032`
298×	`unswap-sqr_binary64_1069`
205×	`cancel-sign-sub-inv_binary64_1067`
196×	`associate-l_binary64_1042`
191×	`distribute-rgt-neg-in_binary64_1059`
168×	`neg-mul-1_binary64_1097`
161×	`sub-neg_binary64_1094`
155×	`neg-sub0_binary64_1096`
141×	`+-commutative_binary64_1031`
136×	`associate-r_binary64_1041`
131×	`distribute-lft-neg-in_binary64_1058`
116×	`associate--r+_binary64_1037`
112×	`distribute-lft-out_binary64_1052`
101×	`distribute-lft-neg-out_binary64_1060`
84×	`distribute-rgt-neg-out_binary64_1061`
83×	`associate-+l+_binary64_1034`
81×	`distribute-neg-in_binary64_1062`
80×	`sqr-pow_binary64_1073`
79×	`associate-+r+_binary64_1033`
73×	`exp-prod_binary64_1153`
67×	`associate--l+_binary64_1038`
56×	`associate-+l-_binary64_1036`
53×	`distribute-rgt-out--_binary64_1055`
51×	`associate--l-_binary64_1039`
45×	`mul0-rgt_binary64_1084` `mul0-lft_binary64_1083`
44×	`cancel-sign-sub_binary64_1066`
42×	`cube-prod_binary64_1129`
32×	`associate-/l/_binary64_1048`
31×	`count-2_binary64_1049` `associate--r-_binary64_1040`
29×	`sub0-neg_binary64_1088`
28×	`pow-sqr_binary64_1074`
27×	`unpow3_binary64_1167`
23×	`remove-double-neg_binary64_1089`
22×	`exp-sum_binary64_1147`
20×	`associate-/l*_binary64_1046` `associate-+r-_binary64_1035`
19×	`div-sub_binary64_1106` `distribute-neg-out_binary64_1063`
18×	`associate-*r/_binary64_1043`
15×	`exp-diff_binary64_1149` `distribute-rgt1-in_binary64_1057`
14×	`swap-sqr_binary64_1068`
11×	`distribute-lft-out--_binary64_1053`
10×	`cube-unmult_binary64_1138` `cube-div_binary64_1130` `+-rgt-identity_binary64_1086`
8×	`cube-neg_binary64_1128`
6×	`pow-plus_binary64_1164` `exp-lft-sqr_binary64_1156` `cube-mult_binary64_1131` `associate-/r/_binary64_1047`
5×	`sqr-neg_binary64_1115` `+-lft-identity_binary64_1085`
4×	`exp-sqrt_binary64_1154` `associate-*l/_binary64_1044`
3×	`*-lft-identity_binary64_1090` `difference-of-squares_binary64_1070`
2×	`unpow2_binary64_1166` `exp-neg_binary64_1148` `/-rgt-identity_binary64_1092`
1×	`prod-exp_binary64_1150` `1-exp_binary64_1145` `--rgt-identity_binary64_1087`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `log-pow_binary64_1190` `log-rec_binary64_1189` `log-div_binary64_1188` `log-prod_binary64_1187` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `unpow1/2_binary64_1165` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow1_binary64_1159` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-cbrt_binary64_1155` `div-exp_binary64_1152` `rec-exp_binary64_1151` `e-exp-1_binary64_1146` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `rem-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `times-frac_binary64_1107` `mul-1-neg_binary64_1093` `-rgt-identity_binary64_1091` `div0_binary64_1082` `-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-lft1-in_binary64_1056` `associate-/r*_binary64_1045`

Counts

35 → 8

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	518
1	109	489
2	342	489
3	865	489
4	1790	489
5	3284	489
6	4058	489
7	4961	489
8	4833	489

prune12.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	5	3	8
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	4	9

Error

Counts

9 → 4

Compiler

Compiled 198 to 72 computations (63.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 y.re x.im) (*.f64 y.re x.im))
0.2b	(.f64 (.f64 y.im x.re) (*.f64 y.im x.re))
1.9b	(-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im)))
26.7b	(/.f64 (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im))) (-.f64 (.f64 y.im x.re) (.f64 y.re x.im)))

rewrite184.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

82×	`pow1_binary64_1162`
34×	`pow-prod-down_binary64_1172`
30×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
16×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
13×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
12×	`times-frac_binary64_1107`
8×	`pow-prod-up_binary64_1171` `pow-sqr_binary64_1074`
6×	`add-log-exp_binary64_1140`
5×	`difference-of-squares_binary64_1070`
4×	`associate-/l*_binary64_1046` `pow-plus_binary64_1164`
3×	`flip3--_binary64_1105` `flip--_binary64_1076` `associate-/r*_binary64_1045`
2×	`associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `pow2_binary64_1182` `swap-sqr_binary64_1068` `associate-l_binary64_1042` `associate-r_binary64_1041` `*-commutative_binary64_1032`
1×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `div-sub_binary64_1106` `clear-num_binary64_1100` `div-inv_binary64_1098` `diff-log_binary64_1193` `sub-neg_binary64_1094` `cancel-sign-sub-inv_binary64_1067`

Counts

4 → 117

Calls

4 calls:

14.0ms	(/.f64 (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im))) (-.f64 (.f64 y.im x.re) (.f64 y.re x.im)))
10.0ms	(.f64 (.f64 y.im x.re) (*.f64 y.im x.re))
9.0ms	(-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im)))
7.0ms	(.f64 (.f64 y.re x.im) (*.f64 y.re x.im))

Compiler

Compiled 3865 to 500 computations (87.1% saved)

series1.5s (15.3%)

Error

Counts

4 → 60

Calls

4 calls:

723.0ms	(/.f64 (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im))) (-.f64 (.f64 y.im x.re) (.f64 y.re x.im)))
556.0ms	(-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im)))
115.0ms	(.f64 (.f64 y.im x.re) (*.f64 y.im x.re))
110.0ms	(.f64 (.f64 y.re x.im) (*.f64 y.re x.im))

Compiler

Compiled 2364 to 1534 computations (35.1% saved)

simplify177.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

248×	`associate-l_binary64_1042`
247×	`distribute-rgt-in_binary64_1051`
236×	`times-frac_binary64_1107`
230×	`distribute-lft-in_binary64_1050`
227×	`cancel-sign-sub-inv_binary64_1067`
209×	`associate-/l/_binary64_1048`
192×	`associate-r_binary64_1041`
180×	`log-prod_binary64_1187`
169×	`distribute-rgt-neg-in_binary64_1059`
167×	`exp-prod_binary64_1153`
162×	`unswap-sqr_binary64_1069`
153×	`distribute-lft-neg-in_binary64_1058`
135×	`div-sub_binary64_1106`
120×	`associate-/l*_binary64_1046`
90×	`swap-sqr_binary64_1068`
65×	`distribute-neg-frac_binary64_1065`
62×	`sqr-pow_binary64_1073`
61×	`*-commutative_binary64_1032`
52×	`log-div_binary64_1188`
51×	`distribute-rgt-out_binary64_1054`
44×	`exp-sum_binary64_1147`
41×	`cube-div_binary64_1130`
40×	`sub-neg_binary64_1094`
35×	`neg-sub0_binary64_1096`
34×	`neg-mul-1_binary64_1097`
33×	`unpow3_binary64_1167`
32×	`cube-prod_binary64_1129`
28×	`distribute-lft-out_binary64_1052`
26×	`distribute-lft-neg-out_binary64_1060`
21×	`associate-/r*_binary64_1045`
20×	`pow-plus_binary64_1164`
19×	`cube-mult_binary64_1131`
18×	`+-commutative_binary64_1031`
16×	`log-pow_binary64_1190` `exp-diff_binary64_1149`
15×	`distribute-rgt-neg-out_binary64_1061` `associate-/r/_binary64_1047`
13×	`associate-*l/_binary64_1044`
12×	`cube-unmult_binary64_1138` `pow-sqr_binary64_1074` `difference-of-squares_binary64_1070` `distribute-neg-in_binary64_1062` `associate-+l+_binary64_1034` `associate-+r+_binary64_1033`
11×	`log-rec_binary64_1189` `associate-*r/_binary64_1043`
7×	`/-rgt-identity_binary64_1092`
6×	`unpow2_binary64_1166`
5×	`*-rgt-identity_binary64_1091`
4×	`unpow1/2_binary64_1165` `unpow1_binary64_1159` `*-inverses_binary64_1081` `count-2_binary64_1049`
3×	`unsub-neg_binary64_1095`
2×	`exp-neg_binary64_1148` `rem-sqrt-square_binary64_1114` `remove-double-neg_binary64_1089` `+-rgt-identity_binary64_1086` `distribute-rgt-out--_binary64_1055` `associate--r-_binary64_1040` `associate--r+_binary64_1037` `associate-+r-_binary64_1035`
1×	`div-exp_binary64_1152` `1-exp_binary64_1145` `mul-1-neg_binary64_1093` `*-lft-identity_binary64_1090` `cancel-sign-sub_binary64_1066`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `e-exp-1_binary64_1146` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-square-sqrt_binary64_1113` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-lft-out--_binary64_1053` `associate--l-_binary64_1039` `associate--l+_binary64_1038` `associate-+l-_binary64_1036`

Counts

177 → 140

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	157	4113
1	403	3496
2	1688	3490
3	4547	3058
4	4985	3058
5	5035	3058

prune141.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	140	4	144

Error

Counts

144 → 4

Compiler

Compiled 3331 to 897 computations (73.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 y.re x.im) (.f64 y.im x.re))
0.3b	(pow.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)) 3)
34.6b	(cbrt.f64 (pow.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)) 3))

rewrite80.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`cbrt-prod_binary64_1132`
9×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
6×	`unpow-prod-down_binary64_1180` `cube-prod_binary64_1129`
5×	`add-log-exp_binary64_1140`
4×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `cube-div_binary64_1130`
3×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `pow-unpow_binary64_1178`
2×	`cbrt-div_binary64_1133` `unpow3_binary64_1167` `cube-mult_binary64_1131` `sqr-pow_binary64_1073`
1×	`pow1/3_binary64_1183` `rem-cbrt-cube_binary64_1125` `pow-pow_binary64_1173` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `rem-cube-cbrt_binary64_1124` `sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

3 → 59

Calls

3 calls:

5.0ms	(pow.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)) 3)
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)) 3))
4.0ms	(+.f64 (.f64 y.re x.im) (.f64 y.im x.re))

Compiler

Compiled 1234 to 391 computations (68.3% saved)

series879.0ms (8.7%)

Error

Counts

3 → 96

Calls

3 calls:

373.0ms	(pow.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)) 3)
206.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)) 3))
204.0ms	(+.f64 (.f64 y.re x.im) (.f64 y.im x.re))

Compiler

Compiled 3468 to 2755 computations (20.6% saved)

simplify187.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

575×	`exp-prod_binary64_1153`
388×	`unswap-sqr_binary64_1069`
365×	`*-commutative_binary64_1032`
245×	`distribute-rgt-in_binary64_1051`
229×	`distribute-lft-in_binary64_1050`
220×	`sqr-pow_binary64_1073`
204×	`log-prod_binary64_1187`
182×	`swap-sqr_binary64_1068`
132×	`cube-prod_binary64_1129`
120×	`associate-r_binary64_1041`
117×	`associate-l_binary64_1042`
115×	`distribute-rgt-neg-in_binary64_1059`
105×	`distribute-rgt-out_binary64_1054`
104×	`cancel-sign-sub-inv_binary64_1067`
102×	`distribute-lft-neg-in_binary64_1058`
100×	`unpow3_binary64_1167`
99×	`exp-sum_binary64_1147`
61×	`distribute-lft-neg-out_binary64_1060`
52×	`pow-sqr_binary64_1074`
48×	`distribute-rgt-neg-out_binary64_1061`
45×	`associate-/l*_binary64_1046`
41×	`associate-+l+_binary64_1034`
40×	`log-pow_binary64_1190` `distribute-lft-out_binary64_1052`
38×	`neg-mul-1_binary64_1097` `neg-sub0_binary64_1096`
35×	`pow-plus_binary64_1164` `sub-neg_binary64_1094`
28×	`associate-+r+_binary64_1033`
26×	`cube-mult_binary64_1131`
25×	`+-commutative_binary64_1031`
17×	`cube-unmult_binary64_1138` `rem-sqrt-square_binary64_1114`
16×	`unsub-neg_binary64_1095` `distribute-rgt-out--_binary64_1055` `associate-+l-_binary64_1036`
15×	`associate-/l/_binary64_1048`
11×	`count-2_binary64_1049`
10×	`difference-of-squares_binary64_1070` `associate-*r/_binary64_1043`
8×	`rem-cbrt-cube_binary64_1125` `distribute-neg-in_binary64_1062`
7×	`unpow2_binary64_1166`
6×	`associate-+r-_binary64_1035`
5×	`unpow1/2_binary64_1165` `unpow1_binary64_1159` `+-rgt-identity_binary64_1086`
4×	`-rgt-identity_binary64_1091` `-lft-identity_binary64_1090` `distribute-lft-out--_binary64_1053` `associate-/r/_binary64_1047` `associate--r+_binary64_1037`
3×	`sub0-neg_binary64_1088` `associate-*l/_binary64_1044`
2×	`sqr-neg_binary64_1115` `associate-/r*_binary64_1045`
1×	`prod-exp_binary64_1150` `1-exp_binary64_1145` `rem-3cbrt-lft_binary64_1126` `rem-cube-cbrt_binary64_1124` `rem-square-sqrt_binary64_1113` `associate--l+_binary64_1038`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `log-rec_binary64_1189` `log-div_binary64_1188` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `div-exp_binary64_1152` `rec-exp_binary64_1151` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-div_binary64_1130` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `sqr-abs_binary64_1116` `times-frac_binary64_1107` `div-sub_binary64_1106` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `remove-double-neg_binary64_1089` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `*-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `cancel-sign-sub_binary64_1066` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `associate--r-_binary64_1040` `associate--l-_binary64_1039`

Counts

155 → 121

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	106	4097
1	280	3853
2	979	3769
3	2872	3769
4	4810	3766
5	5303	3766

prune119.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	121	4	125

Error

Counts

125 → 4

Compiler

Compiled 2177 to 1007 computations (53.7% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 y.re (.f64 x.im (-.f64 (.f64 y.re x.im) (*.f64 y.im x.re)))))
1.8b	(+.f64 (pow.f64 (.f64 y.im x.re) 3) (pow.f64 (.f64 y.re x.im) 3))
4.2b	(.f64 y.re (.f64 x.im (-.f64 (.f64 y.re x.im) (.f64 y.im x.re))))
36.7b	(/.f64 (+.f64 (pow.f64 (.f64 y.im x.re) 3) (pow.f64 (.f64 y.re x.im) 3)) (+.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 y.re (.f64 x.im (-.f64 (.f64 y.re x.im) (*.f64 y.im x.re))))))

rewrite222.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`*-un-lft-identity_binary64_1101`
16×	`distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
15×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `times-frac_binary64_1107`
11×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`pow1_binary64_1162`
8×	`add-log-exp_binary64_1140` `sub-neg_binary64_1094` `cancel-sign-sub-inv_binary64_1067` `associate-+r+_binary64_1033`
5×	`sum-cubes_binary64_1102` `distribute-lft-out_binary64_1052` `associate-/l*_binary64_1046`
4×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-*r/_binary64_1043`
3×	`associate-/r_binary64_1045` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `associate-l*_binary64_1042`
2×	`associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `sum-log_binary64_1192` `+-commutative_binary64_1031`
1×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `flip3--_binary64_1105` `flip--_binary64_1076` `associate-r_binary64_1041` `*-commutative_binary64_1032`

Counts

4 → 99

Calls

4 calls:

19.0ms	(/.f64 (+.f64 (pow.f64 (.f64 y.im x.re) 3) (pow.f64 (.f64 y.re x.im) 3)) (+.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 y.re (.f64 x.im (-.f64 (.f64 y.re x.im) (*.f64 y.im x.re))))))
12.0ms	(.f64 y.re (.f64 x.im (-.f64 (.f64 y.re x.im) (.f64 y.im x.re))))
10.0ms	(+.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 y.re (.f64 x.im (-.f64 (.f64 y.re x.im) (*.f64 y.im x.re)))))
9.0ms	(+.f64 (pow.f64 (.f64 y.im x.re) 3) (pow.f64 (.f64 y.re x.im) 3))

Compiler

Compiled 4803 to 1087 computations (77.4% saved)

series3.5s (34.3%)

Error

Counts

4 → 108

Calls

4 calls:

1.2s	(/.f64 (+.f64 (pow.f64 (.f64 y.im x.re) 3) (pow.f64 (.f64 y.re x.im) 3)) (+.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 y.re (.f64 x.im (-.f64 (.f64 y.re x.im) (*.f64 y.im x.re))))))
862.0ms	(+.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 y.re (.f64 x.im (-.f64 (.f64 y.re x.im) (*.f64 y.im x.re)))))
840.0ms	(+.f64 (pow.f64 (.f64 y.im x.re) 3) (pow.f64 (.f64 y.re x.im) 3))
429.0ms	(.f64 y.re (.f64 x.im (-.f64 (.f64 y.re x.im) (.f64 y.im x.re))))

Compiler

Compiled 6528 to 3873 computations (40.7% saved)

simplify239.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

597×	`cancel-sign-sub-inv_binary64_1067`
372×	`exp-prod_binary64_1153`
369×	`unswap-sqr_binary64_1069`
279×	`distribute-rgt-neg-in_binary64_1059`
278×	`associate-l_binary64_1042`
270×	`associate-r_binary64_1041`
113×	`cube-prod_binary64_1129`
108×	`*-commutative_binary64_1032`
91×	`unpow3_binary64_1167`
84×	`swap-sqr_binary64_1068`
83×	`sqr-pow_binary64_1073`
72×	`distribute-rgt-in_binary64_1051`
67×	`distribute-lft-neg-out_binary64_1060`
62×	`sub-neg_binary64_1094`
59×	`distribute-lft-in_binary64_1050`
58×	`div-sub_binary64_1106`
46×	`neg-sub0_binary64_1096`
44×	`neg-mul-1_binary64_1097`
40×	`distribute-rgt-neg-out_binary64_1061`
39×	`times-frac_binary64_1107`
37×	`+-commutative_binary64_1031`
34×	`difference-of-squares_binary64_1070`
30×	`distribute-lft-neg-in_binary64_1058`
24×	`distribute-neg-in_binary64_1062` `associate-/l/_binary64_1048` `associate-*l/_binary64_1044`
21×	`log-prod_binary64_1187`
18×	`cube-mult_binary64_1131`
16×	`associate-/l*_binary64_1046`
15×	`pow-plus_binary64_1164` `associate-/r/_binary64_1047`
14×	`associate-*r/_binary64_1043`
12×	`pow-sqr_binary64_1074`
10×	`exp-sum_binary64_1147` `-rgt-identity_binary64_1091` `associate-/r_binary64_1045`
7×	`/-rgt-identity_binary64_1092`
6×	`cube-unmult_binary64_1138` `distribute-rgt-out--_binary64_1055`
5×	`unpow2_binary64_1166` `exp-diff_binary64_1149` `unsub-neg_binary64_1095` `associate-+l+_binary64_1034`
4×	`log-pow_binary64_1190` `log-div_binary64_1188` `unpow1/2_binary64_1165` `unpow1_binary64_1159` `associate--l+_binary64_1038` `associate-+r-_binary64_1035`
3×	`distribute-rgt-out_binary64_1054` `associate--r+_binary64_1037` `associate-+l-_binary64_1036`
2×	`prod-exp_binary64_1150` `distribute-neg-frac_binary64_1065` `associate--r-_binary64_1040` `associate-+r+_binary64_1033`
1×	`1-exp_binary64_1145` `cube-div_binary64_1130` `rem-sqrt-square_binary64_1114` `mul-1-neg_binary64_1093` `*-lft-identity_binary64_1090` `remove-double-neg_binary64_1089` `sub0-neg_binary64_1088` `+-rgt-identity_binary64_1086` `cancel-sign-sub_binary64_1066` `distribute-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052` `associate--l-_binary64_1039`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `log-rec_binary64_1189` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `div-exp_binary64_1152` `rec-exp_binary64_1151` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-square-sqrt_binary64_1113` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `*-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `count-2_binary64_1049`

Counts

207 → 155

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	7611
1	470	7010
2	1998	7010
3	4794	6725
4	5079	6725

prune224.0ms (2.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	155	4	159

Error

Counts

159 → 4

Compiler

Compiled 5657 to 1718 computations (69.6% saved)

regimes276.0ms (2.7%)

Accuracy

Total 0.0b remaining (32.2%)

Threshold costs 0.0b (32.2%)

Compiler

Compiled 2372 to 1641 computations (30.8% saved)

bsearch0.0ms (0%)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64_1032`
1×	`+-commutative_binary64_1031`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `unpow1_binary64_1159` `e-exp-1_binary64_1146` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `neg-mul-1_binary64_1097` `neg-sub0_binary64_1096` `unsub-neg_binary64_1095` `sub-neg_binary64_1094` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `-rgt-identity_binary64_1091` `-lft-identity_binary64_1090` `remove-double-neg_binary64_1089` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-rgt-identity_binary64_1086` `+-lft-identity_binary64_1085` `cancel-sign-sub-inv_binary64_1067` `cancel-sign-sub_binary64_1066` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-neg-in_binary64_1062` `distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060` `distribute-rgt-neg-in_binary64_1059` `distribute-lft-neg-in_binary64_1058`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	13	14
2	13	14

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 28 to 28 computations (0% saved)

end0.0ms (0%)

sample906.0ms (9%)

Algorithm

1×

intervals

Results

214.0ms	8000×	body	128	valid
33.0ms	1387×	body	128	invalid

Compiler

Compiled 349 to 244 computations (30.1% saved)

Details

analyze1.0s (10%)

sample37.0ms (0.4%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite15.0ms (0.1%)

series210.0ms (2.1%)

simplify111.0ms (1.1%)

prune12.0ms (0.1%)

localize10.0ms (0.1%)

rewrite184.0ms (1.8%)

series1.5s (15.3%)

simplify177.0ms (1.7%)

prune141.0ms (1.4%)

localize8.0ms (0.1%)

rewrite80.0ms (0.8%)

series879.0ms (8.7%)

simplify187.0ms (1.8%)

prune119.0ms (1.2%)

localize16.0ms (0.2%)

rewrite222.0ms (2.2%)

series3.5s (34.3%)

simplify239.0ms (2.4%)

prune224.0ms (2.2%)

regimes276.0ms (2.7%)

bsearch0.0ms (0%)

simplify25.0ms (0.2%)

end0.0ms (0%)

sample906.0ms (9%)

Profiling