Details

analyze5.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 21 to 17 computations (19% saved)

sample24.0ms (0.1%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify233.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

767×	`associate-/r*_binary64_1045`
757×	`sub-neg_binary64_1094`
657×	`distribute-rgt-in_binary64_1051`
594×	`unsub-neg_binary64_1095`
576×	`associate-/l/_binary64_1048`
553×	`neg-mul-1_binary64_1097`
522×	`distribute-lft-in_binary64_1050`
513×	`neg-sub0_binary64_1096`
496×	`distribute-rgt-neg-out_binary64_1061`
440×	`distribute-lft-neg-out_binary64_1060`
353×	`distribute-neg-in_binary64_1062`
330×	`associate-+l-_binary64_1036`
329×	`associate--r+_binary64_1037`
248×	`associate--r-_binary64_1040`
204×	`cancel-sign-sub-inv_binary64_1067`
198×	`distribute-rgt-neg-in_binary64_1059`
176×	`*-commutative_binary64_1032` `+-commutative_binary64_1031`
170×	`distribute-rgt-out--_binary64_1055`
150×	`remove-double-neg_binary64_1089`
143×	`sub0-neg_binary64_1088`
139×	`associate--l-_binary64_1039`
134×	`associate-l_binary64_1042`
120×	`associate-r_binary64_1041`
118×	`distribute-lft-neg-in_binary64_1058`
110×	`associate--l+_binary64_1038`
108×	`*-rgt-identity_binary64_1091`
106×	`*-lft-identity_binary64_1090` `distribute-rgt-out_binary64_1054`
97×	`--rgt-identity_binary64_1087`
72×	`distribute-lft-out--_binary64_1053`
70×	`distribute-lft-out_binary64_1052`
67×	`+-lft-identity_binary64_1085`
64×	`+-rgt-identity_binary64_1086`
63×	`mul0-lft_binary64_1083`
62×	`mul0-rgt_binary64_1084`
49×	`distribute-neg-out_binary64_1063`
41×	`associate-+l+_binary64_1034`
40×	`associate-+r+_binary64_1033`
25×	`distribute-rgt1-in_binary64_1057`
22×	`associate-+r-_binary64_1035`
17×	`mul-1-neg_binary64_1093`
15×	`/-rgt-identity_binary64_1092`
14×	`cancel-sign-sub_binary64_1066`
7×	`distribute-lft1-in_binary64_1056`
4×	`swap-sqr_binary64_1068` `count-2_binary64_1049`
3×	`+-inverses_binary64_1080`
2×	`difference-of-squares_binary64_1070`
1×	`1-exp_binary64_1145` `sqr-neg_binary64_1115` `difference-of-sqr-1_binary64_1071` `unswap-sqr_binary64_1069`
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` `rem-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `times-frac_binary64_1107` `div-sub_binary64_1106` `div0_binary64_1082` `-inverses_binary64_1081` `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` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `associate-/r/_binary64_1047` `associate-/l_binary64_1046` `associate-l/_binary64_1044` `associate-r/_binary64_1043`

Counts

1 → 5

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	41	31
2	102	31
3	251	31
4	652	31
5	914	31
6	1360	31
7	3124	31
8	3300	31
9	3358	31
10	3380	31
11	3419	31
12	3469	31

prune9.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	2	6

Error

Counts

6 → 2

Compiler

Compiled 140 to 106 computations (24.3% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (/.f64 (/.f64 4 (.f64 3 PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
0.0b	(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
0.0b	(/.f64 (/.f64 4 (.f64 3 PI.f64)) (-.f64 1 (.f64 v v)))
0.1b	(.f64 v (.f64 v 6))

rewrite1.5s (5.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

649×	`times-frac_binary64_1107`
294×	`add-sqr-sqrt_binary64_1123`
293×	`*-un-lft-identity_binary64_1101`
236×	`add-cube-cbrt_binary64_1136`
129×	`sqrt-prod_binary64_1117`
114×	`difference-of-squares_binary64_1070`
50×	`div-inv_binary64_1098`
48×	`associate-/l*_binary64_1046`
32×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
18×	`associate-/r/_binary64_1047`
14×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
11×	`associate-/r*_binary64_1045`
10×	`pow1_binary64_1162` `flip3--_binary64_1105` `flip--_binary64_1076`
5×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
4×	`add-log-exp_binary64_1140` `sqrt-div_binary64_1118`
3×	`pow-prod-down_binary64_1172` `associate-l_binary64_1042`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048`
1×	`associate-r_binary64_1041` `*-commutative_binary64_1032` `pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114`

Counts

4 → 413

Calls

4 calls:

22.0ms	(/.f64 (/.f64 (/.f64 4 (.f64 3 PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
12.0ms	(/.f64 (/.f64 4 (.f64 3 PI.f64)) (-.f64 1 (.f64 v v)))
5.0ms	(.f64 v (.f64 v 6))
3.0ms	(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))

Compiler

Compiled 15876 to 11963 computations (24.6% saved)

series243.0ms (0.8%)

Error

Counts

4 → 21

Calls

4 calls:

111.0ms	(/.f64 (/.f64 (/.f64 4 (.f64 3 PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6)))))
39.0ms	(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
38.0ms	(/.f64 (/.f64 4 (.f64 3 PI.f64)) (-.f64 1 (.f64 v v)))
27.0ms	(.f64 v (.f64 v 6))

Compiler

Compiled 1365 to 1153 computations (15.5% saved)

simplify1.3s (4.5%)

Algorithm

1×	egg-herbie

Rules

517×	`associate-/r*_binary64_1045`
382×	`associate-/l/_binary64_1048`
225×	`*-commutative_binary64_1032`
198×	`associate-r_binary64_1041`
183×	`associate-/l*_binary64_1046`
180×	`associate-l_binary64_1042`
150×	`times-frac_binary64_1107`
124×	`associate-/r/_binary64_1047`
117×	`associate-*l/_binary64_1044`
108×	`sub-neg_binary64_1094`
82×	`+-commutative_binary64_1031`
76×	`distribute-rgt-in_binary64_1051`
73×	`distribute-lft-in_binary64_1050`
69×	`associate-*r/_binary64_1043`
68×	`sqr-pow_binary64_1073`
65×	`/-rgt-identity_binary64_1092`
62×	`neg-sub0_binary64_1096`
61×	`neg-mul-1_binary64_1097` `associate-+r+_binary64_1033`
56×	`unswap-sqr_binary64_1069`
48×	`associate-+l+_binary64_1034`
43×	`div-sub_binary64_1106`
38×	`cancel-sign-sub-inv_binary64_1067`
36×	`*-lft-identity_binary64_1090`
31×	`log-prod_binary64_1187`
30×	`distribute-rgt-neg-in_binary64_1059`
28×	`pow-sqr_binary64_1074`
24×	`cube-prod_binary64_1129` `*-rgt-identity_binary64_1091`
23×	`distribute-lft-neg-in_binary64_1058`
22×	`log-div_binary64_1188`
19×	`exp-prod_binary64_1153` `associate--l+_binary64_1038`
16×	`unsub-neg_binary64_1095`
14×	`associate--r+_binary64_1037`
12×	`cube-unmult_binary64_1138`
11×	`distribute-neg-in_binary64_1062` `distribute-rgt-out_binary64_1054`
10×	`cube-div_binary64_1130` `swap-sqr_binary64_1068`
9×	`unpow3_binary64_1167` `pow-plus_binary64_1164`
8×	`cube-mult_binary64_1131` `distribute-neg-frac_binary64_1065` `associate--l-_binary64_1039`
6×	`distribute-lft-neg-out_binary64_1060`
5×	`difference-of-squares_binary64_1070`
4×	`rem-square-sqrt_binary64_1113` `associate-+l-_binary64_1036`
3×	`pow-base-1_binary64_1161` `distribute-lft-out_binary64_1052`
2×	`log-pow_binary64_1190` `rem-sqrt-square_binary64_1114` `mul-1-neg_binary64_1093` `remove-double-div_binary64_1077` `distribute-rgt1-in_binary64_1057`
1×	`log-rec_binary64_1189` `unpow2_binary64_1166` `unpow1_binary64_1159` `1-exp_binary64_1145` `remove-double-neg_binary64_1089` `div0_binary64_1082` `*-inverses_binary64_1081` `count-2_binary64_1049` `associate--r-_binary64_1040`
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` `unpow1/2_binary64_1165` `exp-to-pow_binary64_1163` `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-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-rgt-identity_binary64_1086` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `+-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` `cancel-sign-sub_binary64_1066` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-rgt-neg-out_binary64_1061` `distribute-lft1-in_binary64_1056` `distribute-rgt-out--_binary64_1055` `distribute-lft-out--_binary64_1053` `associate-+r-_binary64_1035`

Counts

434 → 2187

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	744	21030
1	1785	20512
2	4504	20496

prune12.9s (45.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	2187	0	2187
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	2187	2	2189

Error

Counts

2189 → 2

Compiler

Compiled 88854 to 64957 computations (26.9% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
0.0b	(/.f64 (/.f64 (/.f64 4 3) PI.f64) (-.f64 1 (*.f64 v v)))
0.1b	(.f64 v (.f64 v 6))
1.0b	(/.f64 (/.f64 4 3) PI.f64)

rewrite1.0s (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

686×	`times-frac_binary64_1107`
347×	`add-sqr-sqrt_binary64_1123`
346×	`*-un-lft-identity_binary64_1101`
302×	`add-cube-cbrt_binary64_1136`
88×	`difference-of-squares_binary64_1070`
56×	`associate-/l*_binary64_1046`
30×	`div-inv_binary64_1098`
23×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
10×	`pow1_binary64_1162`
9×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
8×	`associate-/r*_binary64_1045`
4×	`add-log-exp_binary64_1140`
3×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `associate-l_binary64_1042` `sqrt-prod_binary64_1117`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `flip3--_binary64_1105` `associate-/r/_binary64_1047` `flip--_binary64_1076` `sqrt-div_binary64_1118`
1×	`associate-r_binary64_1041` `*-commutative_binary64_1032` `pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114`

Counts

4 → 385

Calls

4 calls:

18.0ms	(/.f64 (/.f64 (/.f64 4 3) PI.f64) (-.f64 1 (*.f64 v v)))
6.0ms	(/.f64 (/.f64 4 3) PI.f64)
5.0ms	(.f64 v (.f64 v 6))
3.0ms	(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))

Compiler

Compiled 13122 to 9528 computations (27.4% saved)

series118.0ms (0.4%)

Error

Counts

4 → 15

Calls

4 calls:

41.0ms	(/.f64 (/.f64 (/.f64 4 3) PI.f64) (-.f64 1 (*.f64 v v)))
32.0ms	(sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))
27.0ms	(.f64 v (.f64 v 6))
0.0ms	(/.f64 (/.f64 4 3) PI.f64)

Compiler

Compiled 853 to 717 computations (15.9% saved)

simplify692.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

471×	`associate-/r*_binary64_1045`
433×	`associate-/l/_binary64_1048`
260×	`associate-/r/_binary64_1047`
237×	`cancel-sign-sub-inv_binary64_1067` `distribute-rgt-neg-in_binary64_1059`
207×	`associate-/l*_binary64_1046`
152×	`*-commutative_binary64_1032`
147×	`distribute-neg-frac_binary64_1065`
133×	`div-sub_binary64_1106`
117×	`sub-neg_binary64_1094`
113×	`associate-l_binary64_1042`
104×	`associate-r_binary64_1041`
98×	`times-frac_binary64_1107` `associate-*l/_binary64_1044`
83×	`neg-sub0_binary64_1096`
82×	`neg-mul-1_binary64_1097`
64×	`/-rgt-identity_binary64_1092`
56×	`sqr-pow_binary64_1073`
48×	`unswap-sqr_binary64_1069`
41×	`associate-*r/_binary64_1043` `+-commutative_binary64_1031`
24×	`distribute-lft-neg-out_binary64_1060`
22×	`pow-sqr_binary64_1074`
20×	`distribute-lft-neg-in_binary64_1058`
19×	`log-div_binary64_1188`
15×	`*-rgt-identity_binary64_1091` `distribute-neg-in_binary64_1062`
13×	`log-prod_binary64_1187` `cube-prod_binary64_1129` `associate-+l+_binary64_1034` `associate-+r+_binary64_1033`
12×	`*-lft-identity_binary64_1090`
10×	`cube-unmult_binary64_1138`
9×	`exp-prod_binary64_1153` `swap-sqr_binary64_1068`
8×	`unpow3_binary64_1167` `unsub-neg_binary64_1095` `associate--r+_binary64_1037`
7×	`cube-div_binary64_1130` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
6×	`pow-plus_binary64_1164` `cube-mult_binary64_1131` `distribute-rgt-neg-out_binary64_1061` `distribute-rgt-out_binary64_1054`
5×	`remove-double-div_binary64_1077` `difference-of-squares_binary64_1070`
4×	`associate--l-_binary64_1039` `associate--l+_binary64_1038`
3×	`pow-base-1_binary64_1161` `distribute-lft-out_binary64_1052` `associate-+l-_binary64_1036`
2×	`log-pow_binary64_1190` `log-rec_binary64_1189` `rem-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `mul-1-neg_binary64_1093` `distribute-neg-out_binary64_1063`
1×	`unpow2_binary64_1166` `unpow1_binary64_1159` `exp-cbrt_binary64_1155` `1-exp_binary64_1145` `remove-double-neg_binary64_1089` `div0_binary64_1082` `*-inverses_binary64_1081` `cancel-sign-sub_binary64_1066` `count-2_binary64_1049` `associate--r-_binary64_1040`
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` `unpow1/2_binary64_1165` `exp-to-pow_binary64_1163` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `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-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-rgt-identity_binary64_1086` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `+-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` `distribute-frac-neg_binary64_1064` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-rgt-out--_binary64_1055` `distribute-lft-out--_binary64_1053` `associate-+r-_binary64_1035`

Counts

400 → 1926

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	734	12775
1	1729	12554
2	3762	12551

prune9.7s (34%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	1926	0	1926
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	1926	2	1928

Error

Counts

1928 → 2

Compiler

Compiled 69701 to 50358 computations (27.8% saved)

regimes87.0ms (0.3%)

Accuracy

Total 0.0b remaining (86.9%)

Threshold costs 0.0b (86.9%)

Compiler

Compiled 646 to 564 computations (12.7% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64_1032`
7×	`sub-neg_binary64_1094` `+-commutative_binary64_1031`
5×	`neg-mul-1_binary64_1097` `neg-sub0_binary64_1096` `distribute-rgt-neg-in_binary64_1059`
3×	`cancel-sign-sub-inv_binary64_1067` `distribute-lft-neg-in_binary64_1058`
2×	`distribute-lft-neg-out_binary64_1060`
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` `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` `unsub-neg_binary64_1095` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `-rgt-identity_binary64_1091` `-lft-identity_binary64_1090` `remove-double-neg_binary64_1089` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-rgt-identity_binary64_1086` `+-lft-identity_binary64_1085` `cancel-sign-sub_binary64_1066` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-neg-in_binary64_1062` `distribute-rgt-neg-out_binary64_1061`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	31
1	32	31
2	44	31
3	57	31
4	64	31
5	67	31
6	68	31

Proof

(/ f64 (/ f64 (/ f64 4 (* f64 3 (PI f64))) (- f64 1 (* f64 h0 h0))) (sqrt f64 (- f64 2 (* f64 h0 (* f64 h0 6)))))

end0.0ms (0%)

sample727.0ms (2.5%)

Algorithm

1×

intervals

Results

394.0ms	8000×	body	128	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 137 to 121 computations (11.7% saved)

Details

analyze5.0ms (0%)

sample24.0ms (0.1%)

simplify233.0ms (0.8%)

prune9.0ms (0%)

localize12.0ms (0%)

rewrite1.5s (5.3%)

series243.0ms (0.8%)

simplify1.3s (4.5%)

prune12.9s (45.2%)

localize13.0ms (0%)

rewrite1.0s (3.5%)

series118.0ms (0.4%)

simplify692.0ms (2.4%)

prune9.7s (34%)

regimes87.0ms (0.3%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample727.0ms (2.5%)

Profiling