Details

analyze1.0s (28.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

90×	`cancel-sign-sub-inv_binary64_1067`
57×	`unsub-neg_binary64_1095`
55×	`sub-neg_binary64_1094`
42×	`distribute-rgt-neg-in_binary64_1059`
40×	`associate--r+_binary64_1037`
38×	`distribute-rgt-in_binary64_1051`
29×	`neg-mul-1_binary64_1097`
26×	`distribute-lft-in_binary64_1050`
22×	`+-lft-identity_binary64_1085`
20×	`neg-sub0_binary64_1096` `*-commutative_binary64_1032` `+-commutative_binary64_1031`
19×	`distribute-lft-neg-out_binary64_1060`
17×	`distribute-lft-neg-in_binary64_1058`
15×	`sub0-neg_binary64_1088` `associate-r_binary64_1041`
13×	`distribute-rgt-neg-out_binary64_1061`
12×	`associate-+l-_binary64_1036`
10×	`associate--r-_binary64_1040`
9×	`*-lft-identity_binary64_1090` `distribute-neg-in_binary64_1062`
8×	`mul0-rgt_binary64_1084` `mul0-lft_binary64_1083`
5×	`remove-double-neg_binary64_1089` `--rgt-identity_binary64_1087` `+-rgt-identity_binary64_1086` `associate-l_binary64_1042` `associate-+r-_binary64_1035` `associate-+r+_binary64_1033`
4×	`cancel-sign-sub_binary64_1066`
3×	`associate-+l+_binary64_1034`
1×	`1-exp_binary64_1145` `distribute-rgt-out--_binary64_1055` `associate--l+_binary64_1038` `swap-x.re-y.re` `swap-x.im-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` `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` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `-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` `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` `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` `distribute-rgt-out_binary64_1054` `distribute-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052` `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_1039`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	98
1	50	98
2	84	98
3	118	98
4	184	98
5	287	98
6	343	98
7	347	98
8	346	98
9	347	98
10	316	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.re)

(sort x.im y.im)

Compiler

Compiled 8 to 8 computations (0% saved)

sample33.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	52×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify15.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

36×	`cancel-sign-sub-inv_binary64_1067`
23×	`sub-neg_binary64_1094` `distribute-rgt-neg-in_binary64_1059`
19×	`unsub-neg_binary64_1095`
17×	`neg-mul-1_binary64_1097`
16×	`distribute-rgt-in_binary64_1051`
14×	`neg-sub0_binary64_1096` `associate--r+_binary64_1037`
12×	`distribute-lft-neg-out_binary64_1060` `distribute-lft-neg-in_binary64_1058`
11×	`distribute-lft-in_binary64_1050`
10×	`+-commutative_binary64_1031`
9×	`distribute-neg-in_binary64_1062` `*-commutative_binary64_1032`
8×	`mul0-rgt_binary64_1084` `mul0-lft_binary64_1083`
7×	`+-lft-identity_binary64_1085`
6×	`*-lft-identity_binary64_1090` `sub0-neg_binary64_1088` `associate-+l-_binary64_1036`
5×	`remove-double-neg_binary64_1089` `distribute-rgt-neg-out_binary64_1061` `associate-r_binary64_1041`
3×	`--rgt-identity_binary64_1087` `associate-+l+_binary64_1034`
2×	`*-rgt-identity_binary64_1091` `associate--r-_binary64_1040`
1×	`1-exp_binary64_1145` `+-rgt-identity_binary64_1086` `cancel-sign-sub_binary64_1066` `associate-l_binary64_1042` `associate--l+_binary64_1038` `associate-+r-_binary64_1035` `associate-+r+_binary64_1033`
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` `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` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `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` `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` `distribute-rgt-out--_binary64_1055` `distribute-rgt-out_binary64_1054` `distribute-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052` `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_1039`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	17	14
2	27	14
3	39	14
4	56	14
5	80	14
6	115	14
7	164	14
8	191	14
9	193	14
10	191	14
11	160	14

prune1.0ms (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)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_1140`
1×	`diff-log_binary64_1193` `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_1105` `*-un-lft-identity_binary64_1101` `sub-neg_binary64_1094` `flip--_binary64_1076` `cancel-sign-sub-inv_binary64_1067`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

Compiler

Compiled 187 to 46 computations (75.4% saved)

series231.0ms (6.6%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

220.0ms

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

Compiler

Compiled 348 to 259 computations (25.6% saved)

simplify87.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

438×	`times-frac_binary64_1107`
434×	`unsub-neg_binary64_1095`
376×	`sub-neg_binary64_1094`
364×	`unswap-sqr_binary64_1069`
233×	`distribute-rgt-neg-in_binary64_1059`
229×	`*-commutative_binary64_1032`
226×	`neg-mul-1_binary64_1097`
220×	`neg-sub0_binary64_1096`
217×	`distribute-rgt-in_binary64_1051`
196×	`distribute-lft-neg-in_binary64_1058`
183×	`sqr-pow_binary64_1073`
182×	`difference-of-squares_binary64_1070`
181×	`distribute-lft-in_binary64_1050`
175×	`distribute-lft-neg-out_binary64_1060`
174×	`associate-l_binary64_1042`
141×	`distribute-rgt-neg-out_binary64_1061`
136×	`cancel-sign-sub-inv_binary64_1067`
130×	`associate-r_binary64_1041`
110×	`+-commutative_binary64_1031`
87×	`distribute-neg-in_binary64_1062`
73×	`pow-sqr_binary64_1074`
68×	`associate-/l*_binary64_1046`
55×	`remove-double-neg_binary64_1089`
53×	`distribute-neg-out_binary64_1063`
45×	`associate-+l-_binary64_1036`
43×	`associate-/r*_binary64_1045`
37×	`distribute-rgt-out_binary64_1054`
36×	`sub0-neg_binary64_1088`
35×	`exp-sum_binary64_1147`
33×	`mul0-rgt_binary64_1084` `mul0-lft_binary64_1083`
32×	`div-sub_binary64_1106`
31×	`exp-prod_binary64_1153` `associate-*r/_binary64_1043`
28×	`associate-+r+_binary64_1033`
25×	`exp-diff_binary64_1149`
23×	`associate-+l+_binary64_1034`
22×	`associate-*l/_binary64_1044`
21×	`associate-/l/_binary64_1048`
19×	`associate--r+_binary64_1037`
17×	`cube-unmult_binary64_1138` `associate-+r-_binary64_1035`
15×	`cube-prod_binary64_1129`
14×	`swap-sqr_binary64_1068`
13×	`--rgt-identity_binary64_1087`
11×	`unpow3_binary64_1167` `associate--l+_binary64_1038`
10×	`/-rgt-identity_binary64_1092` `+-rgt-identity_binary64_1086` `associate-/r/_binary64_1047`
8×	`distribute-lft-out_binary64_1052`
7×	`mul-1-neg_binary64_1093` `*-lft-identity_binary64_1090`
6×	`pow-plus_binary64_1164` `cube-mult_binary64_1131` `cube-neg_binary64_1128` `sqr-neg_binary64_1115`
4×	`log-prod_binary64_1187` `exp-neg_binary64_1148`
3×	`*-rgt-identity_binary64_1091`
2×	`unpow2_binary64_1166` `distribute-frac-neg_binary64_1064` `distribute-rgt-out--_binary64_1055`
1×	`div-exp_binary64_1152` `1-exp_binary64_1145` `cube-div_binary64_1130` `+-lft-identity_binary64_1085` `div0_binary64_1082` `+-inverses_binary64_1080` `cancel-sign-sub_binary64_1066` `associate--r-_binary64_1040` `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-pow_binary64_1190` `log-rec_binary64_1189` `log-div_binary64_1188` `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-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` `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` `*-inverses_binary64_1081` `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-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-lft-out--_binary64_1053` `count-2_binary64_1049`

Counts

36 → 16

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	546
1	106	517
2	298	517
3	786	517
4	1717	517
5	2904	517
6	4571	517
7	4948	517

prune13.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Error

Counts

17 → 2

Compiler

Compiled 191 to 45 computations (76.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 y.re x.re) (.f64 y.im x.im))
0.2b	(.f64 (sqrt.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im))) (sqrt.f64 (-.f64 (.f64 y.re x.re) (*.f64 y.im x.im))))
1.5b	(sqrt.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)))
1.5b	(sqrt.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)))

rewrite148.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64_1123`
24×	`sqrt-prod_binary64_1117`
21×	`pow1_binary64_1162`
16×	`sqrt-div_binary64_1118`
14×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
10×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119`
9×	`flip3--_binary64_1105` `flip--_binary64_1076`
8×	`swap-sqr_binary64_1068`
6×	`add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-l_binary64_1042` `associate-r_binary64_1041`
5×	`pow-prod-up_binary64_1171`
4×	`rem-sqrt-square_binary64_1114` `frac-times_binary64_1111` `unswap-sqr_binary64_1069`
3×	`pow-prod-down_binary64_1172` `pow-sqr_binary64_1074`
2×	`associate-l/_binary64_1044` `associate-r/_binary64_1043`
1×	`pow2_binary64_1182` `pow-plus_binary64_1164` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `sqrt-unprod_binary64_1121` `sqr-abs_binary64_1116` `rem-square-sqrt_binary64_1113` `*-commutative_binary64_1032` `diff-log_binary64_1193` `sub-neg_binary64_1094` `cancel-sign-sub-inv_binary64_1067`

Counts

4 → 100

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im))) (sqrt.f64 (-.f64 (.f64 y.re x.re) (*.f64 y.im x.im))))
7.0ms	(sqrt.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)))
4.0ms	(sqrt.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)))
4.0ms	(-.f64 (.f64 y.re x.re) (.f64 y.im x.im))

Compiler

Compiled 2860 to 329 computations (88.5% saved)

series787.0ms (22.4%)

Error

Counts

4 → 78

Calls

4 calls:

209.0ms	(-.f64 (.f64 y.re x.re) (.f64 y.im x.im))
202.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im))) (sqrt.f64 (-.f64 (.f64 y.re x.re) (*.f64 y.im x.im))))
166.0ms	(sqrt.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)))
165.0ms	(sqrt.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)))

Compiler

Compiled 3196 to 1726 computations (46% saved)

simplify193.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

504×	`distribute-rgt-in_binary64_1051`
472×	`associate-l_binary64_1042`
457×	`distribute-lft-in_binary64_1050`
399×	`associate-r_binary64_1041`
375×	`unswap-sqr_binary64_1069`
152×	`cancel-sign-sub-inv_binary64_1067`
134×	`*-commutative_binary64_1032`
115×	`distribute-lft-neg-in_binary64_1058`
113×	`distribute-rgt-neg-in_binary64_1059`
106×	`exp-prod_binary64_1153`
87×	`distribute-lft-neg-out_binary64_1060`
86×	`distribute-rgt-neg-out_binary64_1061`
84×	`sqr-pow_binary64_1073`
72×	`log-prod_binary64_1187`
70×	`cube-prod_binary64_1129`
45×	`unpow3_binary64_1167`
43×	`distribute-rgt-out_binary64_1054`
38×	`neg-sub0_binary64_1096`
35×	`unsub-neg_binary64_1095` `swap-sqr_binary64_1068`
34×	`sub-neg_binary64_1094`
33×	`neg-mul-1_binary64_1097`
31×	`distribute-lft-out_binary64_1052`
27×	`exp-sum_binary64_1147`
23×	`pow-plus_binary64_1164`
22×	`difference-of-squares_binary64_1070`
21×	`cube-unmult_binary64_1138`
18×	`*-rgt-identity_binary64_1091` `pow-sqr_binary64_1074`
16×	`rem-sqrt-square_binary64_1114` `-lft-identity_binary64_1090` `associate-/l_binary64_1046`
14×	`+-commutative_binary64_1031`
13×	`log-pow_binary64_1190` `cube-mult_binary64_1131`
11×	`associate-/r*_binary64_1045`
9×	`times-frac_binary64_1107`
8×	`rem-square-sqrt_binary64_1113` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083`
7×	`associate-+l+_binary64_1034`
6×	`unpow2_binary64_1166` `exp-diff_binary64_1149` `associate-+r+_binary64_1033`
5×	`unpow1/2_binary64_1165` `mul-1-neg_binary64_1093` `associate-/r/_binary64_1047`
4×	`sub0-neg_binary64_1088` `+-rgt-identity_binary64_1086` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035`
3×	`unpow1_binary64_1159` `associate-*l/_binary64_1044`
2×	`exp-neg_binary64_1148` `distribute-neg-in_binary64_1062` `count-2_binary64_1049` `associate-*r/_binary64_1043`
1×	`div-exp_binary64_1152` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `sqr-neg_binary64_1115`
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` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-div_binary64_1130` `cube-neg_binary64_1128` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `div-sub_binary64_1106` `/-rgt-identity_binary64_1092` `remove-double-neg_binary64_1089` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `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` `distribute-rgt-out--_binary64_1055` `distribute-lft-out--_binary64_1053` `associate-/l/_binary64_1048` `associate--r-_binary64_1040` `associate--l-_binary64_1039` `associate--l+_binary64_1038` `associate--r+_binary64_1037`

Counts

178 → 96

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	111	3609
1	224	3352
2	636	3274
3	1996	3215
4	4812	3164
5	4982	3164
6	4918	3164

prune82.0ms (2.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	96	2	98

Error

Counts

98 → 2

Compiler

Compiled 1809 to 354 computations (80.4% saved)

regimes128.0ms (3.7%)

Accuracy

Total 0.0b remaining (17.1%)

Threshold costs 0.0b (17.1%)

Compiler

Compiled 650 to 626 computations (3.7% saved)

bsearch0.0ms (0%)

simplify24.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64_1032`
4×	`sub-neg_binary64_1094` `+-commutative_binary64_1031`
3×	`neg-mul-1_binary64_1097` `neg-sub0_binary64_1096`
2×	`cancel-sign-sub-inv_binary64_1067` `distribute-rgt-neg-in_binary64_1059`
1×	`distribute-lft-neg-out_binary64_1060` `distribute-lft-neg-in_binary64_1058`
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` `unsub-neg_binary64_1095` `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_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	17	14
2	27	14
3	33	14
4	37	14
5	38	14
6	38	14

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 28 to 28 computations (0% saved)

end0.0ms (0%)

sample735.0ms (21%)

Algorithm

1×

intervals

Results

208.0ms	8000×	body	128	valid
38.0ms	1396×	body	128	invalid

Compiler

Compiled 103 to 99 computations (3.9% saved)

Iter	Nodes	Cost
0	24	98
1	50	98
2	84	98
3	118	98
4	184	98
5	287	98
6	343	98
7	347	98
8	346	98
9	347	98
10	316	98
0	4	4
1	4	4

Iter	Nodes	Cost
0	10	14
1	17	14
2	27	14
3	39	14
4	56	14
5	80	14
6	115	14
7	164	14
8	191	14
9	193	14
10	191	14
11	160	14

Iter	Nodes	Cost
0	24	98
1	50	98
2	84	98
3	118	98
4	184	98
5	287	98
6	343	98
7	347	98
8	346	98
9	347	98
10	316	98
0	4	4
1	4	4

Iter	Nodes	Cost
0	10	14
1	17	14
2	27	14
3	39	14
4	56	14
5	80	14
6	115	14
7	164	14
8	191	14
9	193	14
10	191	14
11	160	14

Details

analyze1.0s (28.6%)

sample33.0ms (0.9%)

simplify15.0ms (0.4%)

prune1.0ms (0%)

localize5.0ms (0.2%)

rewrite15.0ms (0.4%)

series231.0ms (6.6%)

simplify87.0ms (2.5%)

prune13.0ms (0.4%)

localize8.0ms (0.2%)

rewrite148.0ms (4.2%)

series787.0ms (22.4%)

simplify193.0ms (5.5%)

prune82.0ms (2.3%)

regimes128.0ms (3.7%)

bsearch0.0ms (0%)

simplify24.0ms (0.7%)

end0.0ms (0%)

sample735.0ms (21%)

Profiling

Iter	Nodes	Cost
0	24	98
1	50	98
2	84	98
3	118	98
4	184	98
5	287	98
6	343	98
7	347	98
8	346	98
9	347	98
10	316	98
0	4	4
1	4	4

Iter	Nodes	Cost
0	10	14
1	17	14
2	27	14
3	39	14
4	56	14
5	80	14
6	115	14
7	164	14
8	191	14
9	193	14
10	191	14
11	160	14