Details

analyze170.0ms (1.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

8×	`*-commutative_binary64_1032`
4×	`associate-/r/_binary64_1047` `associate-/l*_binary64_1046`
2×	`+-commutative_binary64_1031`
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` `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_1044` `associate-r/_binary64_1043` `associate-l_binary64_1042` `associate-r_binary64_1041` `associate--r-_binary64_1040` `associate--l-_binary64_1039` `associate--l+_binary64_1038` `associate--r+_binary64_1037` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035` `associate-+l+_binary64_1034` `associate-+r+_binary64_1033`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	28	34
2	36	34
3	42	34
4	44	34
5	43	34
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
12.5%	12.5%	75%	2
12.5%	12.5%	75%	3
18.7%	6.2%	75%	4
21.8%	3.1%	75%	5
23.4%	1.6%	75%	6
23.4%	1.6%	75%	7
24.2%	0.8%	75%	8
24.2%	0.8%	75%	9
24.6%	0.4%	75%	10
24.6%	0.4%	75%	11
24.8%	0.2%	75%	12
24.8%	0.2%	75%	13
24.9%	0.1%	75%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample60.0ms (0.7%)

Algorithm

1×

intervals

Results

22.0ms	77×	body	1024	valid
9.0ms	125×	body	128	valid
8.0ms	39×	body	512	valid
5.0ms	256×	pre	128	true
2.0ms	15×	body	256	valid

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64_1032`
2×	`associate-/r/_binary64_1047` `associate-/l*_binary64_1046`
1×	`1-exp_binary64_1145` `+-commutative_binary64_1031`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `log-pow_binary64_1190` `log-rec_binary64_1189` `log-div_binary64_1188` `log-prod_binary64_1187` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `unpow3_binary64_1167` `unpow2_binary64_1166` `unpow1/2_binary64_1165` `pow-plus_binary64_1164` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow1_binary64_1159` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `exp-prod_binary64_1153` `div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `exp-sum_binary64_1147` `e-exp-1_binary64_1146` `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_1044` `associate-r/_binary64_1043` `associate-l_binary64_1042` `associate-r_binary64_1041` `associate--r-_binary64_1040` `associate--l-_binary64_1039` `associate--l+_binary64_1038` `associate--r+_binary64_1037` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035` `associate-+l+_binary64_1034` `associate-+r+_binary64_1033`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	17	17
2	21	17
3	24	17
4	25	17
5	24	17

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

1 → 1

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
0.1b	(*.f64 e (cos.f64 v))
0.1b	(*.f64 e (sin.f64 v))

rewrite89.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-sqr-sqrt_binary64_1123`
12×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
7×	`pow1_binary64_1162`
6×	`associate-l_binary64_1042` `associate-r_binary64_1041`
3×	`prod-exp_binary64_1150` `add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134` `times-frac_binary64_1107` `associate-/r*_binary64_1045`
2×	`pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-/r/_binary64_1047`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-/l*_binary64_1046`

Counts

3 → 59

Calls

3 calls:

9.0ms	(*.f64 e (cos.f64 v))
6.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
5.0ms	(*.f64 e (sin.f64 v))

Compiler

Compiled 1067 to 388 computations (63.6% saved)

series410.0ms (4.7%)

Error

0.1b

Counts

3 → 23

Calls

3 calls:

190.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
104.0ms	(*.f64 e (sin.f64 v))
93.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 887 to 581 computations (34.5% saved)

simplify120.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Counts

82 → 38

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	1248
1	338	1095
2	1200	1079
3	3163	1070
4	4944	1070
5	4991	1070
6	4954	1070

prune53.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	32	6	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	7	39

Error

0.0b

Counts

39 → 7

Compiler

Compiled 776 to 357 computations (54% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 e (cos.f64 v))
0.1b	(*.f64 e (sin.f64 v))
0.1b	(/.f64 (+.f64 (.f64 e (cos.f64 v)) 1) (.f64 e (sin.f64 v)))
0.3b	(/.f64 1 (/.f64 (+.f64 (.f64 e (cos.f64 v)) 1) (.f64 e (sin.f64 v))))

rewrite175.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`times-frac_binary64_1107`
34×	`add-exp-log_binary64_1139`
30×	`add-sqr-sqrt_binary64_1123`
26×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
22×	`add-cbrt-cube_binary64_1137`
14×	`div-exp_binary64_1152`
9×	`pow1_binary64_1162`
8×	`associate-/r*_binary64_1045`
7×	`cbrt-undiv_binary64_1135`
6×	`prod-exp_binary64_1150` `div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-l_binary64_1042` `associate-r*_binary64_1041`
4×	`add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134`
3×	`1-exp_binary64_1145` `rec-exp_binary64_1151`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032`
1×	`inv-pow_binary64_1186` `pow-flip_binary64_1175` `associate-/r/_binary64_1047` `flip3-+_binary64_1104` `flip-+_binary64_1075`

Counts

4 → 115

Calls

4 calls:

10.0ms	(/.f64 (+.f64 (.f64 e (cos.f64 v)) 1) (.f64 e (sin.f64 v)))
9.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 e (cos.f64 v)) 1) (.f64 e (sin.f64 v))))
5.0ms	(*.f64 e (cos.f64 v))
4.0ms	(*.f64 e (sin.f64 v))

Compiler

Compiled 2514 to 1154 computations (54.1% saved)

series729.0ms (8.3%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

333.0ms	(/.f64 (+.f64 (.f64 e (cos.f64 v)) 1) (.f64 e (sin.f64 v)))
185.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 e (cos.f64 v)) 1) (.f64 e (sin.f64 v))))
97.0ms	(*.f64 e (cos.f64 v))
86.0ms	(*.f64 e (sin.f64 v))

Compiler

Compiled 1306 to 895 computations (31.5% saved)

simplify146.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

662×	`associate-/l*_binary64_1046`
544×	`associate-/r*_binary64_1045`
399×	`associate-/r/_binary64_1047`
280×	`associate-/l/_binary64_1048`
228×	`sub-neg_binary64_1094`
152×	`associate-r_binary64_1041`
144×	`cancel-sign-sub-inv_binary64_1067` `associate-l_binary64_1042`
138×	`div-sub_binary64_1106`
110×	`distribute-rgt-in_binary64_1051`
94×	`neg-mul-1_binary64_1097` `*-commutative_binary64_1032`
93×	`distribute-rgt-neg-in_binary64_1059`
90×	`neg-sub0_binary64_1096`
85×	`distribute-lft-in_binary64_1050`
84×	`sqr-pow_binary64_1073`
81×	`distribute-lft-neg-in_binary64_1058`
79×	`log-div_binary64_1188`
74×	`unswap-sqr_binary64_1069`
73×	`*-rgt-identity_binary64_1091`
72×	`/-rgt-identity_binary64_1092`
68×	`cube-div_binary64_1130`
67×	`associate-*l/_binary64_1044`
56×	`log-prod_binary64_1187` `exp-prod_binary64_1153` `times-frac_binary64_1107`
54×	`cube-prod_binary64_1129` `*-lft-identity_binary64_1090`
48×	`associate-*r/_binary64_1043`
45×	`unsub-neg_binary64_1095`
32×	`distribute-rgt-out_binary64_1054`
31×	`+-commutative_binary64_1031`
26×	`remove-double-div_binary64_1077`
24×	`distribute-lft-out_binary64_1052`
23×	`unpow3_binary64_1167` `distribute-neg-frac_binary64_1065` `distribute-rgt-out--_binary64_1055`
21×	`cube-mult_binary64_1131` `swap-sqr_binary64_1068`
20×	`distribute-lft-out--_binary64_1053`
17×	`log-rec_binary64_1189`
15×	`distribute-neg-in_binary64_1062`
13×	`associate--l+_binary64_1038` `associate-+r+_binary64_1033`
12×	`rem-sqrt-square_binary64_1114` `pow-sqr_binary64_1074`
10×	`associate--r+_binary64_1037`
8×	`unpow1/2_binary64_1165` `cube-unmult_binary64_1138` `distribute-lft-neg-out_binary64_1060`
7×	`associate-+l+_binary64_1034`
6×	`log-pow_binary64_1190`
5×	`distribute-rgt1-in_binary64_1057`
4×	`pow-plus_binary64_1164` `div0_binary64_1082` `associate--r-_binary64_1040` `associate-+r-_binary64_1035`
3×	`unpow2_binary64_1166` `unpow1_binary64_1159`
2×	`exp-sum_binary64_1147` `sub0-neg_binary64_1088` `+-lft-identity_binary64_1085`
1×	`1-exp_binary64_1145` `exp-1-e_binary64_1144` `remove-double-neg_binary64_1089` `+-rgt-identity_binary64_1086` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-rgt-neg-out_binary64_1061` `distribute-lft1-in_binary64_1056` `count-2_binary64_1049` `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` `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-diff_binary64_1149` `exp-neg_binary64_1148` `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-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-square-sqrt_binary64_1113` `mul-1-neg_binary64_1093` `--rgt-identity_binary64_1087` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `*-inverses_binary64_1081` `+-inverses_binary64_1080` `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` `cancel-sign-sub_binary64_1066` `associate--l-_binary64_1039`

Counts

148 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	3103
1	486	2686
2	1707	2644
3	4457	2644
4	4704	2644
5	4995	2644

prune111.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	97	7	104

Error

0.0b

Counts

104 → 7

Compiler

Compiled 1993 to 941 computations (52.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
0.1b	(*.f64 e (cos.f64 v))
0.2b	(*.f64 (sin.f64 v) (sqrt.f64 e))
0.3b	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))

rewrite129.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
19×	`add-sqr-sqrt_binary64_1123`
13×	`pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
12×	`associate-l_binary64_1042`
10×	`associate-r_binary64_1041`
8×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
7×	`sqrt-prod_binary64_1117`
5×	`pow-prod-down_binary64_1172`
4×	`add-log-exp_binary64_1140`
3×	`-commutative_binary64_1032` `unswap-sqr_binary64_1069` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `times-frac_binary64_1107` `associate-/r_binary64_1045`
2×	`associate-/r/_binary64_1047`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-/l*_binary64_1046`

Counts

4 → 86

Calls

4 calls:

10.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
8.0ms	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
6.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))
4.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1959 to 554 computations (71.7% saved)

series501.0ms (5.7%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

198.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
102.0ms	(*.f64 e (cos.f64 v))
94.0ms	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
81.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))

Compiler

Compiled 1373 to 873 computations (36.4% saved)

simplify96.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

511×	`associate-/r*_binary64_1045`
396×	`*-commutative_binary64_1032`
322×	`associate-*l/_binary64_1044`
297×	`unswap-sqr_binary64_1069`
264×	`associate-/r/_binary64_1047`
236×	`associate-*r/_binary64_1043`
212×	`associate-/l/_binary64_1048`
206×	`associate-r_binary64_1041`
203×	`associate-l_binary64_1042`
174×	`cancel-sign-sub-inv_binary64_1067`
163×	`sub-neg_binary64_1094`
142×	`distribute-rgt-neg-in_binary64_1059`
123×	`distribute-lft-neg-in_binary64_1058`
110×	`associate-/l*_binary64_1046`
101×	`sqr-pow_binary64_1073`
81×	`times-frac_binary64_1107`
73×	`neg-mul-1_binary64_1097` `neg-sub0_binary64_1096`
68×	`log-prod_binary64_1187`
67×	`log-div_binary64_1188`
58×	`exp-prod_binary64_1153` `cube-prod_binary64_1129`
56×	`cube-div_binary64_1130`
50×	`*-rgt-identity_binary64_1091`
43×	`*-lft-identity_binary64_1090`
40×	`+-commutative_binary64_1031`
38×	`distribute-rgt-in_binary64_1051`
36×	`associate-+l+_binary64_1034`
30×	`associate-+r+_binary64_1033`
29×	`div-sub_binary64_1106`
28×	`/-rgt-identity_binary64_1092`
27×	`distribute-rgt-out_binary64_1054`
24×	`distribute-rgt-out--_binary64_1055` `distribute-lft-in_binary64_1050` `associate-+l-_binary64_1036`
22×	`associate--l+_binary64_1038`
19×	`swap-sqr_binary64_1068`
18×	`distribute-lft-out--_binary64_1053` `associate-+r-_binary64_1035`
17×	`difference-of-squares_binary64_1070` `distribute-neg-frac_binary64_1065`
16×	`unpow3_binary64_1167`
15×	`cube-mult_binary64_1131` `pow-sqr_binary64_1074`
13×	`+-rgt-identity_binary64_1086`
12×	`distribute-lft-out_binary64_1052`
10×	`distribute-lft-neg-out_binary64_1060`
8×	`unsub-neg_binary64_1095` `sub0-neg_binary64_1088`
7×	`cube-unmult_binary64_1138` `rem-sqrt-square_binary64_1114` `associate--r+_binary64_1037`
6×	`unpow1/2_binary64_1165` `associate--l-_binary64_1039`
5×	`log-rec_binary64_1189`
4×	`log-pow_binary64_1190` `unpow2_binary64_1166` `pow-plus_binary64_1164` `unpow1_binary64_1159` `distribute-neg-in_binary64_1062`
2×	`div0_binary64_1082` `difference-of-sqr-1_binary64_1071` `distribute-rgt1-in_binary64_1057`
1×	`1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-square-sqrt_binary64_1113` `remove-double-neg_binary64_1089` `distribute-lft1-in_binary64_1056` `count-2_binary64_1049`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `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-3cbrt-lft_binary64_1126` `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_1087` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `*-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` `cancel-sign-sub_binary64_1066` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-rgt-neg-out_binary64_1061` `associate--r-_binary64_1040`

Counts

116 → 70

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	2019
1	446	1518
2	1615	1497
3	4189	1497
4	5024	1497

prune77.0ms (0.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	69	8	77

Error

0.0b

Counts

77 → 8

Compiler

Compiled 1381 to 542 computations (60.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
0.1b	(*.f64 e (cos.f64 v))
0.2b	(/.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e) (sin.f64 v))
0.3b	(/.f64 1 (/.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e) (sin.f64 v)))

rewrite636.0ms (7.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

477×	`times-frac_binary64_1107`
242×	`add-sqr-sqrt_binary64_1123`
240×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
49×	`associate-/r*_binary64_1045`
34×	`add-exp-log_binary64_1139`
23×	`div-inv_binary64_1098`
22×	`add-cbrt-cube_binary64_1137`
19×	`div-exp_binary64_1152` `associate-/l*_binary64_1046`
10×	`cbrt-undiv_binary64_1135`
7×	`pow1_binary64_1162`
4×	`add-log-exp_binary64_1140`
3×	`1-exp_binary64_1145` `rec-exp_binary64_1151` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `associate-l_binary64_1042` `associate-r_binary64_1041`
1×	`inv-pow_binary64_1186` `pow-flip_binary64_1175` `associate-/r/_binary64_1047` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032` `flip3-+_binary64_1104` `flip-+_binary64_1075`

Counts

4 → 317

Calls

4 calls:

16.0ms	(/.f64 1 (/.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e) (sin.f64 v)))
8.0ms	(/.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e) (sin.f64 v))
5.0ms	(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
4.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 9198 to 4515 computations (50.9% saved)

series754.0ms (8.6%)

Error

0.0b

Counts

4 → 35

Calls

4 calls:

285.0ms	(/.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e) (sin.f64 v))
190.0ms	(/.f64 1 (/.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e) (sin.f64 v)))
156.0ms	(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
92.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1276 to 897 computations (29.7% saved)

simplify424.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

461×	`associate-/r/_binary64_1047`
360×	`associate-/l/_binary64_1048`
270×	`cancel-sign-sub-inv_binary64_1067`
220×	`associate-*l/_binary64_1044`
211×	`unswap-sqr_binary64_1069`
206×	`*-commutative_binary64_1032`
171×	`associate-r_binary64_1041`
166×	`sub-neg_binary64_1094`
143×	`associate-/r*_binary64_1045`
136×	`associate-/l*_binary64_1046`
127×	`associate-*r/_binary64_1043`
115×	`associate-l_binary64_1042`
98×	`*-rgt-identity_binary64_1091`
88×	`distribute-rgt-in_binary64_1051`
85×	`div-sub_binary64_1106`
76×	`sqr-pow_binary64_1073`
72×	`associate-+r+_binary64_1033`
69×	`neg-mul-1_binary64_1097` `distribute-lft-in_binary64_1050`
68×	`distribute-rgt-neg-in_binary64_1059`
64×	`+-commutative_binary64_1031`
63×	`neg-sub0_binary64_1096`
58×	`times-frac_binary64_1107`
55×	`distribute-lft-neg-in_binary64_1058`
50×	`cube-prod_binary64_1129` `associate-+l+_binary64_1034`
49×	`log-prod_binary64_1187` `exp-prod_binary64_1153`
48×	`unsub-neg_binary64_1095`
41×	`swap-sqr_binary64_1068` `associate-+r-_binary64_1035`
40×	`*-lft-identity_binary64_1090`
39×	`log-div_binary64_1188`
34×	`/-rgt-identity_binary64_1092`
32×	`cube-div_binary64_1130`
29×	`associate-+l-_binary64_1036`
25×	`associate--l+_binary64_1038`
22×	`+-rgt-identity_binary64_1086` `distribute-neg-frac_binary64_1065` `distribute-rgt-out_binary64_1054`
21×	`associate--r+_binary64_1037`
20×	`difference-of-squares_binary64_1070`
17×	`unpow3_binary64_1167` `remove-double-div_binary64_1077`
16×	`distribute-rgt-out--_binary64_1055` `associate--r-_binary64_1040`
15×	`distribute-lft-out--_binary64_1053`
12×	`log-rec_binary64_1189` `cube-mult_binary64_1131` `rem-sqrt-square_binary64_1114` `sub0-neg_binary64_1088`
11×	`cube-unmult_binary64_1138` `distribute-neg-in_binary64_1062`
9×	`distribute-lft-neg-out_binary64_1060` `distribute-lft-out_binary64_1052`
8×	`pow-sqr_binary64_1074`
7×	`unpow1/2_binary64_1165`
6×	`log-pow_binary64_1190` `associate--l-_binary64_1039`
5×	`+-lft-identity_binary64_1085`
4×	`--rgt-identity_binary64_1087`
3×	`unpow2_binary64_1166` `pow-plus_binary64_1164` `unpow1_binary64_1159` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `distribute-rgt1-in_binary64_1057`
1×	`1-exp_binary64_1145` `exp-1-e_binary64_1144` `difference-of-sqr--1_binary64_1072` `distribute-neg-out_binary64_1063` `distribute-rgt-neg-out_binary64_1061` `distribute-lft1-in_binary64_1056` `count-2_binary64_1049`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `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-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-square-sqrt_binary64_1113` `mul-1-neg_binary64_1093` `remove-double-neg_binary64_1089` `*-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `difference-of-sqr-1_binary64_1071` `cancel-sign-sub_binary64_1066` `distribute-frac-neg_binary64_1064`

Counts

352 → 264

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	422	11910
1	1009	10965
2	3208	10898
3	3972	10898
4	4860	10898
5	4992	10898

prune345.0ms (3.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	262	2	264
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	263	9	272

Error

0.0b

Counts

272 → 9

Compiler

Compiled 6460 to 2781 computations (57% saved)

regimes499.0ms (5.7%)

Accuracy

Total 0.1b remaining (98.4%)

Threshold costs 0.1b (98.4%)

Compiler

Compiled 4973 to 3446 computations (30.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	15	17
2	14	17

end0.0ms (0%)

sample3.2s (36.5%)

Algorithm

1×

intervals

Results

594.0ms	2042×	body	1024	valid
333.0ms	4431×	body	128	valid
211.0ms	1024×	body	512	valid
150.0ms	8000×	pre	128	true
79.0ms	498×	body	256	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 1675 to 1163 computations (30.6% saved)

Details

analyze170.0ms (1.9%)

sample60.0ms (0.7%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite89.0ms (1%)

series410.0ms (4.7%)

simplify120.0ms (1.4%)

prune53.0ms (0.6%)

localize10.0ms (0.1%)

rewrite175.0ms (2%)

series729.0ms (8.3%)

simplify146.0ms (1.7%)

prune111.0ms (1.3%)

localize11.0ms (0.1%)

rewrite129.0ms (1.5%)

series501.0ms (5.7%)

simplify96.0ms (1.1%)

prune77.0ms (0.9%)

localize10.0ms (0.1%)

rewrite636.0ms (7.2%)

series754.0ms (8.6%)

simplify424.0ms (4.8%)

prune345.0ms (3.9%)

regimes499.0ms (5.7%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample3.2s (36.5%)

Profiling