Details

analyze227.0ms (3%)

Algorithm

1×	search
2×	egg-herbie

Rules

6×	`*-commutative_binary64_1032`
4×	`associate-/l*_binary64_1046`
2×	`associate-/r/_binary64_1047` `associate-l/_binary64_1044` `associate-r/_binary64_1043`
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_1045` `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` `+-commutative_binary64_1031`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	15	18
2	21	18
3	27	18
4	29	18
5	29	18
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
74.9%	25%	0.1%	7
76.5%	23.4%	0.1%	8
84.3%	15.6%	0.1%	9
86.2%	13.7%	0.1%	10
91.3%	8.6%	0.1%	11
92.6%	7.3%	0.1%	12
95.4%	4.5%	0.1%	13
96.1%	3.8%	0.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample34.0ms (0.5%)

Algorithm

1×

intervals

Results

14.0ms	189×	body	128	valid
6.0ms	32×	body	1024	valid
3.0ms	23×	body	512	valid
1.0ms	12×	body	256	valid

Compiler

Compiled 13 to 13 computations (0% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_1032`
2×	`associate-/l*_binary64_1046`
1×	`associate-/r/_binary64_1047` `associate-l/_binary64_1044` `associate-r/_binary64_1043`
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_1045` `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` `+-commutative_binary64_1031`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	12	9
3	16	9
4	17	9
5	17	9

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

0.1b

Counts

1 → 1

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)

rewrite72.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-sqr-sqrt_binary64_1123`
19×	`times-frac_binary64_1107`
18×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
13×	`associate-r_binary64_1041`
9×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
4×	`pow1_binary64_1162`
3×	`associate-/l_binary64_1046` `associate-/r_binary64_1045` `associate-l_binary64_1042`
2×	`div-exp_binary64_1152` `add-log-exp_binary64_1140` `cbrt-undiv_binary64_1135` `div-inv_binary64_1098` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `pow-prod-down_binary64_1172` `associate-r/_binary64_1043` `-commutative_binary64_1032`

Counts

2 → 59

Calls

2 calls:

8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 765 to 200 computations (73.9% saved)

series389.0ms (5.2%)

Error

0.0b

Counts

2 → 15

Calls

2 calls:

334.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
43.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 326 to 241 computations (26.1% saved)

simplify107.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

487×	`associate-/r/_binary64_1047`
379×	`cancel-sign-sub-inv_binary64_1067`
325×	`associate-l_binary64_1042`
321×	`sub-neg_binary64_1094`
268×	`associate-r_binary64_1041`
204×	`associate-/l*_binary64_1046`
203×	`associate-*r/_binary64_1043`
194×	`associate-*l/_binary64_1044`
183×	`times-frac_binary64_1107`
162×	`div-sub_binary64_1106`
145×	`distribute-neg-in_binary64_1062`
141×	`distribute-rgt-neg-in_binary64_1059`
136×	`unswap-sqr_binary64_1069`
122×	`distribute-lft-neg-in_binary64_1058`
117×	`neg-mul-1_binary64_1097`
115×	`*-commutative_binary64_1032`
109×	`neg-sub0_binary64_1096`
98×	`associate-/r*_binary64_1045`
94×	`associate-+l-_binary64_1036`
86×	`associate-/l/_binary64_1048`
85×	`cube-prod_binary64_1129`
84×	`sqr-pow_binary64_1073`
78×	`associate-+l+_binary64_1034`
67×	`log-prod_binary64_1187`
66×	`associate--l+_binary64_1038`
58×	`+-commutative_binary64_1031`
57×	`unsub-neg_binary64_1095`
49×	`associate-+r+_binary64_1033`
48×	`cube-div_binary64_1130`
47×	`log-div_binary64_1188` `distribute-rgt-out--_binary64_1055`
45×	`*-lft-identity_binary64_1090`
44×	`swap-sqr_binary64_1068`
41×	`associate-+r-_binary64_1035`
40×	`exp-prod_binary64_1153`
39×	`*-rgt-identity_binary64_1091` `associate--r+_binary64_1037`
34×	`sub0-neg_binary64_1088`
31×	`distribute-lft-out--_binary64_1053`
30×	`associate--l-_binary64_1039`
27×	`distribute-rgt-out_binary64_1054`
26×	`unpow3_binary64_1167`
25×	`/-rgt-identity_binary64_1092` `+-rgt-identity_binary64_1086`
18×	`distribute-rgt-in_binary64_1051`
17×	`rem-sqrt-square_binary64_1114`
16×	`remove-double-neg_binary64_1089` `distribute-lft-out_binary64_1052`
15×	`cube-unmult_binary64_1138` `cube-mult_binary64_1131` `pow-sqr_binary64_1074`
14×	`distribute-lft-in_binary64_1050`
12×	`pow-plus_binary64_1164`
10×	`log-rec_binary64_1189`
9×	`--rgt-identity_binary64_1087` `associate--r-_binary64_1040`
8×	`cancel-sign-sub_binary64_1066`
6×	`distribute-neg-frac_binary64_1065`
5×	`mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `distribute-neg-out_binary64_1063` `distribute-lft-neg-out_binary64_1060`
4×	`log-pow_binary64_1190` `unpow1/2_binary64_1165` `sqr-neg_binary64_1115` `remove-double-div_binary64_1077`
3×	`exp-sum_binary64_1147` `cube-neg_binary64_1128` `distribute-rgt1-in_binary64_1057`
2×	`exp-diff_binary64_1149` `count-2_binary64_1049`
1×	`sin-neg_binary64_1231` `unpow2_binary64_1166` `unpow1_binary64_1159` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `+-lft-identity_binary64_1085` `+-inverses_binary64_1080`
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` `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` `div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `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-square-sqrt_binary64_1113` `mul-1-neg_binary64_1093` `div0_binary64_1082` `*-inverses_binary64_1081` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `difference-of-squares_binary64_1070` `distribute-frac-neg_binary64_1064` `distribute-rgt-neg-out_binary64_1061` `distribute-lft1-in_binary64_1056`

Counts

74 → 41

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	994
1	263	911
2	802	905
3	2373	902
4	3991	902
5	4794	902
6	5130	902

prune37.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	35	6	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	7	42

Error

0.0b

Counts

42 → 7

Compiler

Compiled 518 to 187 computations (63.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite78.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_1132`
23×	`add-sqr-sqrt_binary64_1123`
15×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
11×	`pow1_binary64_1162`
9×	`pow1/3_binary64_1183`
6×	`add-exp-log_binary64_1139` `swap-sqr_binary64_1068` `associate-l_binary64_1042` `associate-r_binary64_1041`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
2×	`pow-prod-down_binary64_1172` `pow-prod-up_binary64_1171` `pow-sqr_binary64_1074`
1×	`pow2_binary64_1182` `pow-plus_binary64_1164` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `*-commutative_binary64_1032`

Counts

4 → 73

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1305 to 245 computations (81.2% saved)

series484.0ms (6.4%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

132.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
125.0ms	(cbrt.f64 x)
112.0ms	(cbrt.f64 x)
105.0ms	(cbrt.f64 x)

Compiler

Compiled 555 to 364 computations (34.4% saved)

simplify99.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

586×	`log-prod_binary64_1187`
416×	`sqr-pow_binary64_1073`
335×	`associate-l_binary64_1042`
309×	`*-commutative_binary64_1032`
277×	`distribute-rgt-neg-in_binary64_1059`
257×	`distribute-lft-neg-in_binary64_1058`
227×	`associate-r_binary64_1041`
188×	`exp-prod_binary64_1153`
161×	`log-pow_binary64_1190`
149×	`cube-prod_binary64_1129`
128×	`pow-sqr_binary64_1074`
124×	`unswap-sqr_binary64_1069`
111×	`swap-sqr_binary64_1068`
104×	`associate-/l*_binary64_1046`
81×	`cancel-sign-sub-inv_binary64_1067`
75×	`associate-+l+_binary64_1034`
69×	`associate-+r+_binary64_1033`
61×	`distribute-rgt-in_binary64_1051`
60×	`distribute-lft-out_binary64_1052`
57×	`distribute-lft-in_binary64_1050`
54×	`neg-sub0_binary64_1096`
53×	`neg-mul-1_binary64_1097`
48×	`distribute-rgt-out_binary64_1054`
45×	`+-commutative_binary64_1031`
43×	`pow-plus_binary64_1164` `rem-sqrt-square_binary64_1114`
41×	`times-frac_binary64_1107` `sub-neg_binary64_1094`
37×	`associate-/r/_binary64_1047`
35×	`associate-*r/_binary64_1043`
32×	`unpow3_binary64_1167`
31×	`-rgt-identity_binary64_1091` `-lft-identity_binary64_1090` `associate-/l/_binary64_1048`
29×	`count-2_binary64_1049`
27×	`cube-mult_binary64_1131`
24×	`associate-/r*_binary64_1045`
17×	`log-div_binary64_1188` `cube-div_binary64_1130` `distribute-neg-frac_binary64_1065`
13×	`cube-unmult_binary64_1138` `distribute-rgt1-in_binary64_1057`
11×	`distribute-rgt-neg-out_binary64_1061`
10×	`unpow1/2_binary64_1165`
9×	`distribute-lft-neg-out_binary64_1060` `distribute-lft1-in_binary64_1056`
8×	`unpow2_binary64_1166` `associate-*l/_binary64_1044`
5×	`unpow1_binary64_1159`
3×	`unpow1/3_binary64_1168`
2×	`exp-sqrt_binary64_1154` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `mul-1-neg_binary64_1093`
1×	`exp-lft-sqr_binary64_1156` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-3cbrt-rft_binary64_1127` `rem-square-sqrt_binary64_1113` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `associate-+l-_binary64_1036`
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-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `div-sub_binary64_1106` `unsub-neg_binary64_1095` `/-rgt-identity_binary64_1092` `remove-double-neg_binary64_1089` `+-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` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `difference-of-squares_binary64_1070` `cancel-sign-sub_binary64_1066` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-neg-in_binary64_1062` `distribute-rgt-out--_binary64_1055` `distribute-lft-out--_binary64_1053` `associate--r-_binary64_1040` `associate--l-_binary64_1039` `associate--l+_binary64_1038` `associate--r+_binary64_1037` `associate-+r-_binary64_1035`

Counts

85 → 50

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	718
1	97	666
2	308	646
3	1135	632
4	2034	548
5	3257	548
6	4939	548
7	4873	548

prune47.0ms (0.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	50	7	57

Error

0.0b

Counts

57 → 7

Compiler

Compiled 834 to 238 computations (71.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 y) y) x)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
8.8b	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
8.8b	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
8.8b	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))

rewrite95.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`pow1_binary64_1162`
10×	`add-sqr-sqrt_binary64_1123`
9×	`pow1/3_binary64_1183`
8×	`add-cube-cbrt_binary64_1136` `associate-l/_binary64_1044` `-un-lft-identity_binary64_1101`
7×	`cbrt-div_binary64_1133` `cbrt-prod_binary64_1132`
6×	`add-exp-log_binary64_1139`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `swap-sqr_binary64_1068` `associate-l_binary64_1042` `associate-r_binary64_1041`
2×	`pow-prod-down_binary64_1172` `pow-prod-up_binary64_1171` `pow-sqr_binary64_1074`
1×	`pow2_binary64_1182` `pow-plus_binary64_1164` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `frac-times_binary64_1111` `unswap-sqr_binary64_1069` `associate-r/_binary64_1043` `-commutative_binary64_1032`

Counts

4 → 64

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 y) y) x)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
4.0ms	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
4.0ms	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
4.0ms	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))

Compiler

Compiled 1865 to 205 computations (89% saved)

series1.8s (23.9%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

539.0ms	(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 y) y) x)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
413.0ms	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
402.0ms	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
399.0ms	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))

Compiler

Compiled 2637 to 1476 computations (44% saved)

simplify159.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

566×	`times-frac_binary64_1107`
424×	`associate-l_binary64_1042`
358×	`associate-r_binary64_1041`
311×	`log-prod_binary64_1187`
299×	`exp-prod_binary64_1153`
250×	`exp-sum_binary64_1147`
162×	`sub-neg_binary64_1094`
152×	`unsub-neg_binary64_1095` `*-commutative_binary64_1032`
114×	`log-div_binary64_1188`
110×	`log-pow_binary64_1190`
105×	`exp-diff_binary64_1149`
86×	`cancel-sign-sub-inv_binary64_1067`
83×	`div-sub_binary64_1106`
79×	`exp-to-pow_binary64_1163`
70×	`unswap-sqr_binary64_1069`
69×	`neg-sub0_binary64_1096`
63×	`neg-mul-1_binary64_1097`
58×	`associate-*l/_binary64_1044`
57×	`distribute-rgt-in_binary64_1051`
53×	`sqr-pow_binary64_1073`
48×	`distribute-lft-in_binary64_1050`
46×	`associate-*r/_binary64_1043`
44×	`distribute-rgt-neg-in_binary64_1059`
42×	`distribute-lft-neg-in_binary64_1058`
41×	`unpow1/3_binary64_1168`
40×	`+-commutative_binary64_1031`
39×	`associate-+r-_binary64_1035` `associate-+l+_binary64_1034`
38×	`associate-+r+_binary64_1033`
30×	`pow-plus_binary64_1164`
27×	`associate-+l-_binary64_1036`
25×	`pow-sqr_binary64_1074` `associate-/l*_binary64_1046`
22×	`associate-/r*_binary64_1045` `associate--l+_binary64_1038` `associate--r+_binary64_1037`
20×	`cube-prod_binary64_1129` `*-rgt-identity_binary64_1091`
19×	`exp-neg_binary64_1148` `*-lft-identity_binary64_1090`
17×	`unpow3_binary64_1167`
16×	`distribute-neg-in_binary64_1062`
15×	`distribute-lft-neg-out_binary64_1060`
14×	`cube-unmult_binary64_1138` `+-rgt-identity_binary64_1086` `distribute-rgt-neg-out_binary64_1061`
13×	`sub0-neg_binary64_1088`
12×	`log-rec_binary64_1189` `exp-lft-sqr_binary64_1156`
11×	`rem-exp-log_binary64_1141` `associate--r-_binary64_1040`
10×	`distribute-rgt-out_binary64_1054` `distribute-lft-out_binary64_1052`
9×	`swap-sqr_binary64_1068`
8×	`associate--l-_binary64_1039`
7×	`rem-sqrt-square_binary64_1114`
5×	`unpow1/2_binary64_1165` `--rgt-identity_binary64_1087`
4×	`unpow2_binary64_1166` `unpow1_binary64_1159` `remove-double-neg_binary64_1089` `distribute-neg-out_binary64_1063`
3×	`distribute-lft-out--_binary64_1053`
2×	`pow-base-1_binary64_1161` `prod-exp_binary64_1150` `rem-3cbrt-lft_binary64_1126` `distribute-rgt-out--_binary64_1055` `count-2_binary64_1049` `associate-/r/_binary64_1047`
1×	`log-E_binary64_1191` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `cube-mult_binary64_1131` `rem-3cbrt-rft_binary64_1127` `rem-square-sqrt_binary64_1113` `distribute-rgt1-in_binary64_1057`
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` `pow-base-0_binary64_1185` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `div-exp_binary64_1152` `rec-exp_binary64_1151` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `cube-div_binary64_1130` `cube-neg_binary64_1128` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `+-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-lft1-in_binary64_1056` `associate-/l/_binary64_1048`

Counts

97 → 81

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	134	1933
1	318	1809
2	785	1567
3	2830	1463
4	4595	1447
5	4907	1447
6	4785	1447
7	4902	1447

prune90.0ms (1.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	80	8	88

Error

Counts

88 → 8

Compiler

Compiled 2141 to 411 computations (80.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.8b	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
8.8b	(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))
8.8b	(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))
8.8b	(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))

rewrite88.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

4×	`pow1/3_binary64_1183` `pow1_binary64_1162` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `cbrt-div_binary64_1133` `cbrt-prod_binary64_1132` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
3×	`associate-*r/_binary64_1043`
1×	`associate-*l/_binary64_1044`

Counts

4 → 40

Calls

4 calls:

4.0ms	(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))
4.0ms	(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))
4.0ms	(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))
4.0ms	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))

Compiler

Compiled 1908 to 183 computations (90.4% saved)

series1.7s (22.9%)

Error

Counts

4 → 36

Calls

4 calls:

416.0ms	(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))
413.0ms	(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))
412.0ms	(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))
409.0ms	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))

Compiler

Compiled 4624 to 1868 computations (59.6% saved)

simplify86.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

569×	`cancel-sign-sub-inv_binary64_1067`
560×	`exp-sum_binary64_1147`
349×	`exp-diff_binary64_1149`
242×	`distribute-rgt-neg-in_binary64_1059`
228×	`distribute-lft-neg-in_binary64_1058`
180×	`unswap-sqr_binary64_1069`
179×	`associate-+r+_binary64_1033`
138×	`associate-r_binary64_1041`
136×	`associate-+r-_binary64_1035`
129×	`associate-+l-_binary64_1036`
128×	`associate-+l+_binary64_1034`
127×	`associate-l_binary64_1042`
121×	`sub-neg_binary64_1094`
112×	`distribute-rgt-out_binary64_1054`
111×	`associate--r+_binary64_1037`
98×	`distribute-rgt-in_binary64_1051`
88×	`exp-prod_binary64_1153`
80×	`associate--l+_binary64_1038`
78×	`distribute-lft-in_binary64_1050`
71×	`*-commutative_binary64_1032`
70×	`distribute-lft-out_binary64_1052`
64×	`associate--r-_binary64_1040`
60×	`distribute-rgt-out--_binary64_1055`
56×	`unsub-neg_binary64_1095`
54×	`div-sub_binary64_1106`
48×	`neg-sub0_binary64_1096`
46×	`neg-mul-1_binary64_1097`
45×	`sqr-pow_binary64_1073`
37×	`associate--l-_binary64_1039`
31×	`distribute-neg-in_binary64_1062`
28×	`log-div_binary64_1188` `+-commutative_binary64_1031`
25×	`log-prod_binary64_1187` `distribute-lft-out--_binary64_1053`
23×	`exp-to-pow_binary64_1163`
17×	`distribute-lft-neg-out_binary64_1060`
16×	`unpow1/3_binary64_1168`
14×	`associate-/r*_binary64_1045`
12×	`log-pow_binary64_1190` `associate-/l*_binary64_1046`
11×	`exp-neg_binary64_1148` `rem-exp-log_binary64_1141`
9×	`sub0-neg_binary64_1088` `+-rgt-identity_binary64_1086`
8×	`distribute-rgt-neg-out_binary64_1061`
7×	`pow-sqr_binary64_1074`
6×	`swap-sqr_binary64_1068` `associate-*r/_binary64_1043`
5×	`unpow3_binary64_1167` `pow-plus_binary64_1164` `cube-unmult_binary64_1138` `associate-*l/_binary64_1044`
4×	`log-rec_binary64_1189` `prod-exp_binary64_1150` `times-frac_binary64_1107` `--rgt-identity_binary64_1087` `distribute-neg-out_binary64_1063`
3×	`associate-/l/_binary64_1048` `associate-/r/_binary64_1047`
2×	`div-exp_binary64_1152` `cube-prod_binary64_1129` `rem-3cbrt-lft_binary64_1126` `remove-double-neg_binary64_1089` `distribute-rgt1-in_binary64_1057` `count-2_binary64_1049`
1×	`unpow2_binary64_1166` `unpow1/2_binary64_1165` `unpow1_binary64_1159` `1-exp_binary64_1145` `cube-mult_binary64_1131` `rem-sqrt-square_binary64_1114` `*-lft-identity_binary64_1090` `distribute-frac-neg_binary64_1064` `distribute-lft1-in_binary64_1056`
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` `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` `e-exp-1_binary64_1146` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `cube-div_binary64_1130` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-square-sqrt_binary64_1113` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `-rgt-identity_binary64_1091` `+-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`

Counts

76 → 45

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	1304
1	172	1304
2	382	1192
3	1336	1088
4	4313	1088
5	5158	1088

prune66.0ms (0.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	45	8	53

Error

Counts

53 → 8

Compiler

Compiled 2056 to 277 computations (86.5% saved)

regimes306.0ms (4.1%)

Accuracy

Total 0.1b remaining (96.1%)

Threshold costs 0.1b (96.1%)

Compiler

Compiled 2716 to 1566 computations (42.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1× *-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 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 +-commutative_binary64_1031

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	7	9
2	7	9

end0.0ms (0%)

sample1.5s (19.7%)

Algorithm

1×

intervals

Results

243.0ms	5366×	body	128	valid
221.0ms	1323×	body	1024	valid
107.0ms	851×	body	512	valid
49.0ms	457×	body	256	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 686 to 398 computations (42% saved)

Details

analyze227.0ms (3%)

sample34.0ms (0.5%)

simplify8.0ms (0.1%)

prune1.0ms (0%)

localize5.0ms (0.1%)

rewrite72.0ms (1%)

series389.0ms (5.2%)

simplify107.0ms (1.4%)

prune37.0ms (0.5%)

localize8.0ms (0.1%)

rewrite78.0ms (1%)

series484.0ms (6.4%)

simplify99.0ms (1.3%)

prune47.0ms (0.6%)

localize9.0ms (0.1%)

rewrite95.0ms (1.3%)

series1.8s (23.9%)

simplify159.0ms (2.1%)

prune90.0ms (1.2%)

localize17.0ms (0.2%)

rewrite88.0ms (1.2%)

series1.7s (22.9%)

simplify86.0ms (1.1%)

prune66.0ms (0.9%)

regimes306.0ms (4.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.5s (19.7%)

Profiling