Details

analyze147.0ms (6.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

14×	`sub-neg_binary64_1094` `cancel-sign-sub-inv_binary64_1067` `associate--r+_binary64_1037`
8×	`neg-mul-1_binary64_1097` `associate--r-_binary64_1040`
6×	`distribute-rgt-neg-in_binary64_1059` `+-commutative_binary64_1031`
4×	`neg-sub0_binary64_1096` `-lft-identity_binary64_1090` `sub0-neg_binary64_1088` `distribute-rgt-in_binary64_1051` `-commutative_binary64_1032`
2×	`unsub-neg_binary64_1095` `+-rgt-identity_binary64_1086` `+-lft-identity_binary64_1085` `distribute-neg-in_binary64_1062` `distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060` `distribute-lft-neg-in_binary64_1058` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035` `associate-+r+_binary64_1033`
1×	`1-exp_binary64_1145`
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` `remove-double-neg_binary64_1089` `--rgt-identity_binary64_1087` `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_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-rgt-out_binary64_1054` `distribute-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052` `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--l-_binary64_1039` `associate--l+_binary64_1038` `associate-+l+_binary64_1034`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	13	16
2	21	16
3	31	16
4	45	16
5	72	16
6	80	16
7	86	16
8	72	16
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 6 to 6 computations (0% saved)

sample14.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

15×	`sub-neg_binary64_1094`
14×	`cancel-sign-sub-inv_binary64_1067`
10×	`distribute-rgt-in_binary64_1051`
9×	`neg-mul-1_binary64_1097`
8×	`associate--r+_binary64_1037`
7×	`unsub-neg_binary64_1095`
6×	`neg-sub0_binary64_1096` `associate--r-_binary64_1040`
5×	`distribute-neg-in_binary64_1062` `distribute-lft-neg-out_binary64_1060` `distribute-rgt-neg-in_binary64_1059` `distribute-lft-in_binary64_1050`
4×	`*-lft-identity_binary64_1090` `sub0-neg_binary64_1088` `associate-+l-_binary64_1036` `+-commutative_binary64_1031`
3×	`+-lft-identity_binary64_1085` `distribute-rgt-neg-out_binary64_1061` `associate-+l+_binary64_1034` `*-commutative_binary64_1032`
2×	`*-rgt-identity_binary64_1091`
1×	`1-exp_binary64_1145` `remove-double-neg_binary64_1089` `--rgt-identity_binary64_1087` `+-rgt-identity_binary64_1086` `distribute-lft-neg-in_binary64_1058` `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` `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_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-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_1042` `associate-r*_binary64_1041` `associate--l-_binary64_1039`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	8
2	13	8
3	19	8
4	25	8
5	40	8
6	63	8
7	76	8
8	88	8
9	90	8
10	84	8
11	70	8

prune2.0ms (0.1%)

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 5 to 5 computations (0% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-sqr-sqrt_binary64_1123` `sqrt-prod_binary64_1117`
2×	`pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
1×	`pow1/2_binary64_1181` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114`

Counts

1 → 13

Calls

1 calls:

1.0ms

(sqrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 139 to 36 computations (74.1% saved)

series69.0ms (2.9%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

66.0ms

(sqrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 90 to 65 computations (27.8% saved)

simplify170.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

1268×	`sqr-pow_binary64_1073`
651×	`pow-sqr_binary64_1074`
362×	`unswap-sqr_binary64_1069`
265×	`cube-prod_binary64_1129`
201×	`unpow3_binary64_1167`
198×	`cube-mult_binary64_1131`
155×	`associate-l_binary64_1042`
138×	`*-commutative_binary64_1032`
90×	`associate-r_binary64_1041`
48×	`pow-plus_binary64_1164`
18×	`rem-sqrt-square_binary64_1114`
15×	`sub-neg_binary64_1094`
14×	`cancel-sign-sub-inv_binary64_1067`
10×	`distribute-rgt-in_binary64_1051`
9×	`cube-unmult_binary64_1138` `neg-mul-1_binary64_1097`
8×	`associate--r+_binary64_1037`
7×	`unsub-neg_binary64_1095`
6×	`unpow2_binary64_1166` `unpow1/2_binary64_1165` `unpow1_binary64_1159` `neg-sub0_binary64_1096`
5×	`distribute-neg-in_binary64_1062` `distribute-lft-neg-out_binary64_1060` `distribute-rgt-neg-in_binary64_1059` `distribute-lft-in_binary64_1050` `associate--r-_binary64_1040`
4×	`*-lft-identity_binary64_1090` `sub0-neg_binary64_1088` `associate-+l-_binary64_1036` `+-commutative_binary64_1031`
3×	`+-lft-identity_binary64_1085` `distribute-rgt-neg-out_binary64_1061` `associate-+l+_binary64_1034`
2×	`*-rgt-identity_binary64_1091`
1×	`1-exp_binary64_1145` `rem-square-sqrt_binary64_1113` `remove-double-neg_binary64_1089` `--rgt-identity_binary64_1087` `+-rgt-identity_binary64_1086` `distribute-lft-neg-in_binary64_1058` `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` `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` `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-div_binary64_1130` `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` `times-frac_binary64_1107` `div-sub_binary64_1106` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `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` `difference-of-squares_binary64_1070` `swap-sqr_binary64_1068` `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-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

19 → 4

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	186
1	28	181
2	35	181
3	45	181
4	56	181
5	80	181
6	122	181
7	187	181
8	374	181
9	681	181
10	677	181
11	807	181
12	961	181
13	1178	181
14	1476	181
15	1849	181
16	2292	181
17	2815	181
18	3035	181
19	3105	181
20	3115	181
21	3117	181
22	3117	181
23	3686	181
24	4327	181
25	4785	181

prune5.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	3	2	5

Error

0.0b

Counts

5 → 2

Compiler

Compiled 47 to 24 computations (48.9% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))
0.4b	(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
0.5b	(cbrt.f64 (fabs.f64 (-.f64 x y)))
0.5b	(cbrt.f64 (fabs.f64 (-.f64 x y)))

rewrite73.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-sqr-sqrt_binary64_1123`
14×	`cbrt-prod_binary64_1132` `sqrt-prod_binary64_1117`
12×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
9×	`associate-r_binary64_1041`
7×	`pow1_binary64_1162`
6×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
4×	`add-log-exp_binary64_1140`
3×	`pow1/3_binary64_1183` `unswap-sqr_binary64_1069` `associate-l_binary64_1042`
2×	`sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114`
1×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `*-commutative_binary64_1032` `pow1/2_binary64_1181`

Counts

4 → 66

Calls

4 calls:

7.0ms	(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
2.0ms	(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))
1.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 1395 to 205 computations (85.3% saved)

series1.2s (49.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

363.0ms	(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
275.0ms	(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))
270.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))
269.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 990 to 577 computations (41.7% saved)

simplify122.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

703×	`log-prod_binary64_1187`
607×	`distribute-rgt-in_binary64_1051`
589×	`distribute-lft-in_binary64_1050`
436×	`unswap-sqr_binary64_1069`
295×	`*-commutative_binary64_1032`
282×	`associate-l_binary64_1042`
229×	`distribute-rgt-out_binary64_1054`
185×	`associate-r_binary64_1041`
167×	`sqr-pow_binary64_1073`
144×	`count-2_binary64_1049`
111×	`exp-prod_binary64_1153`
101×	`associate-/l*_binary64_1046`
96×	`cube-prod_binary64_1129`
75×	`times-frac_binary64_1107`
74×	`log-pow_binary64_1190`
71×	`rem-sqrt-square_binary64_1114`
70×	`associate-/l/_binary64_1048`
63×	`pow-sqr_binary64_1074`
57×	`associate-/r/_binary64_1047`
50×	`associate-*r/_binary64_1043`
47×	`associate-/r*_binary64_1045`
28×	`unpow3_binary64_1167`
26×	`pow-plus_binary64_1164`
25×	`cube-mult_binary64_1131`
22×	`distribute-lft-out_binary64_1052`
21×	`log-div_binary64_1188` `cube-div_binary64_1130`
16×	`+-commutative_binary64_1031`
14×	`*-lft-identity_binary64_1090` `associate-+l+_binary64_1034`
13×	`*-rgt-identity_binary64_1091` `associate-+r+_binary64_1033`
11×	`cube-unmult_binary64_1138`
9×	`sub-neg_binary64_1094`
8×	`associate-*l/_binary64_1044`
7×	`unpow1/2_binary64_1165`
6×	`unpow2_binary64_1166` `distribute-rgt1-in_binary64_1057` `associate--r+_binary64_1037`
5×	`exp-sqrt_binary64_1154`
4×	`unpow1_binary64_1159` `neg-mul-1_binary64_1097` `associate-+l-_binary64_1036`
3×	`exp-lft-sqr_binary64_1156` `neg-sub0_binary64_1096` `swap-sqr_binary64_1068` `distribute-neg-in_binary64_1062`
2×	`sub0-neg_binary64_1088` `distribute-lft1-in_binary64_1056`
1×	`unpow1/3_binary64_1168` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-3cbrt-lft_binary64_1126` `sqr-abs_binary64_1116` `rem-square-sqrt_binary64_1113` `/-rgt-identity_binary64_1092` `remove-double-neg_binary64_1089` `--rgt-identity_binary64_1087` `+-rgt-identity_binary64_1086` `cancel-sign-sub-inv_binary64_1067` `distribute-lft-neg-in_binary64_1058` `associate--r-_binary64_1040` `associate--l+_binary64_1038` `associate-+r-_binary64_1035`
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` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-cbrt_binary64_1155` `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-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-neg_binary64_1115` `div-sub_binary64_1106` `unsub-neg_binary64_1095` `mul-1-neg_binary64_1093` `+-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` `difference-of-squares_binary64_1070` `cancel-sign-sub_binary64_1066` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060` `distribute-rgt-neg-in_binary64_1059` `distribute-rgt-out--_binary64_1055` `distribute-lft-out--_binary64_1053` `associate--l-_binary64_1039`

Counts

90 → 37

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	68	1501
1	110	1448
2	295	1448
3	719	1448
4	1265	1448
5	3300	1448
6	4410	1448
7	4918	1448

prune30.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	37	2	39

Error

0.0b

Counts

39 → 2

Compiler

Compiled 577 to 85 computations (85.3% saved)

regimes59.0ms (2.5%)

Accuracy

Total 0.0b remaining (37.5%)

Threshold costs 0.0b (37.5%)

Compiler

Compiled 313 to 182 computations (41.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`sub-neg_binary64_1094` `+-commutative_binary64_1031`
1×	`neg-mul-1_binary64_1097` `neg-sub0_binary64_1096` `*-commutative_binary64_1032`
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-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	6	8
1	8	8
2	13	8
3	15	8
4	16	8
5	16	8

end0.0ms (0%)

sample480.0ms (20%)

Algorithm

1×

intervals

Results

188.0ms

8000×

body

128

valid

Compiler

Compiled 68 to 43 computations (36.8% saved)

Details

analyze147.0ms (6.1%)

sample14.0ms (0.6%)

simplify12.0ms (0.5%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite11.0ms (0.4%)

series69.0ms (2.9%)

simplify170.0ms (7.1%)

prune5.0ms (0.2%)

localize7.0ms (0.3%)

rewrite73.0ms (3%)

series1.2s (49.7%)

simplify122.0ms (5.1%)

prune30.0ms (1.2%)

regimes59.0ms (2.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample480.0ms (20%)

Profiling