Details

analyze620.0ms (7.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.2%	24.3%	13
31.5%	44.2%	24.3%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample43.0ms (0.5%)

Algorithm

1×

intervals

Results

20.0ms	94×	body	1024	valid
5.0ms	43×	body	512	valid
4.0ms	92×	body	128	valid
2.0ms	9×	body	2048	valid
1.0ms	18×	body	256	valid

Compiler

Compiled 15 to 12 computations (20% saved)

simplify300.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

446×	`distribute-rgt-in_binary64_1051`
382×	`exp-prod_binary64_1153`
348×	`associate-/r/_binary64_1047`
346×	`exp-diff_binary64_1149`
324×	`distribute-lft-in_binary64_1050`
292×	`associate-/r*_binary64_1045`
218×	`associate-/l*_binary64_1046`
201×	`cancel-sign-sub-inv_binary64_1067`
141×	`associate-+r-_binary64_1035`
135×	`associate--r+_binary64_1037`
134×	`associate-+r+_binary64_1033`
133×	`associate--l+_binary64_1038`
118×	`unsub-neg_binary64_1095`
116×	`associate--r-_binary64_1040`
113×	`swap-sqr_binary64_1068` `associate-+l-_binary64_1036`
109×	`associate--l-_binary64_1039`
88×	`associate-+l+_binary64_1034`
80×	`pow-plus_binary64_1164`
78×	`sub-neg_binary64_1094`
76×	`distribute-frac-neg_binary64_1064`
75×	`exp-sum_binary64_1147`
69×	`distribute-rgt-neg-in_binary64_1059`
55×	`div-sub_binary64_1106`
48×	`distribute-rgt-neg-out_binary64_1061`
47×	`distribute-rgt1-in_binary64_1057`
45×	`distribute-neg-in_binary64_1062`
42×	`distribute-lft-neg-in_binary64_1058`
40×	`prod-exp_binary64_1150` `distribute-rgt-out_binary64_1054`
39×	`sqr-pow_binary64_1073`
38×	`neg-mul-1_binary64_1097`
37×	`div-exp_binary64_1152`
35×	`neg-sub0_binary64_1096`
33×	`distribute-lft-neg-out_binary64_1060`
30×	`pow-base-1_binary64_1161` `associate-l_binary64_1042`
28×	`associate-r_binary64_1041`
27×	`pow-sqr_binary64_1074` `distribute-rgt-out--_binary64_1055`
24×	`distribute-neg-out_binary64_1063`
22×	`distribute-lft-out_binary64_1052` `*-commutative_binary64_1032`
20×	`distribute-lft-out--_binary64_1053`
18×	`distribute-neg-frac_binary64_1065`
13×	`+-commutative_binary64_1031`
12×	`times-frac_binary64_1107`
10×	`*-lft-identity_binary64_1090` `unswap-sqr_binary64_1069`
9×	`remove-double-neg_binary64_1089` `div0_binary64_1082`
8×	`exp-lft-sqr_binary64_1156` `sqr-neg_binary64_1115` `*-rgt-identity_binary64_1091`
7×	`/-rgt-identity_binary64_1092` `sub0-neg_binary64_1088`
6×	`exp-neg_binary64_1148` `cube-unmult_binary64_1138` `difference-of-squares_binary64_1070`
5×	`cube-prod_binary64_1129` `count-2_binary64_1049`
4×	`+-rgt-identity_binary64_1086` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `-inverses_binary64_1081` `+-inverses_binary64_1080` `distribute-lft1-in_binary64_1056` `associate-/l/_binary64_1048` `associate-r/_binary64_1043`
3×	`exp-sqrt_binary64_1154` `rec-exp_binary64_1151` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085`
2×	`difference-of-sqr-1_binary64_1071` `associate-*l/_binary64_1044`
1×	`1-exp_binary64_1145` `exp-1-e_binary64_1144` `cube-neg_binary64_1128` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `cancel-sign-sub_binary64_1066`
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` `exp-to-pow_binary64_1163` `unpow0_binary64_1160` `unpow1_binary64_1159` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-cbrt_binary64_1155` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-mult_binary64_1131` `cube-div_binary64_1130` `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` `mul-1-neg_binary64_1093` `lft-mult-inverse_binary64_1079` `difference-of-sqr--1_binary64_1072`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	10	11
2	14	11
3	20	11
4	36	11
5	46	11
6	119	11
7	351	11
8	812	11
9	4222	11

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

42.7b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.0b	(-.f64 (exp.f64 x) 1)

rewrite185.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

42.7b

Rules

35×	`add-sqr-sqrt_binary64_1123`
30×	`*-un-lft-identity_binary64_1101`
21×	`times-frac_binary64_1107`
15×	`add-cube-cbrt_binary64_1136`
10×	`difference-of-squares_binary64_1070`
7×	`associate-/r*_binary64_1045`
5×	`difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
3×	`add-exp-log_binary64_1139` `cancel-sign-sub-inv_binary64_1067` `associate-/l*_binary64_1046`
2×	`pow1_binary64_1162` `flip3--_binary64_1105` `flip--_binary64_1076` `associate-/r/_binary64_1047`
1×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098`

Counts

2 → 63

Calls

2 calls:

6.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
4.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 977 to 489 computations (49.9% saved)

series206.0ms (2.5%)

Error

0.2b

Counts

2 → 12

Calls

2 calls:

17.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
14.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 252 to 184 computations (27% saved)

simplify1.2s (14.4%)

Algorithm

1×	egg-herbie

Rules

515×	`cancel-sign-sub-inv_binary64_1067`
433×	`times-frac_binary64_1107`
295×	`div-sub_binary64_1106`
219×	`associate-/l*_binary64_1046`
161×	`associate-/r*_binary64_1045`
159×	`prod-exp_binary64_1150`
141×	`associate-/l/_binary64_1048`
134×	`distribute-rgt-neg-out_binary64_1061`
125×	`associate-r_binary64_1041`
124×	`div-exp_binary64_1152`
120×	`exp-prod_binary64_1153`
97×	`unsub-neg_binary64_1095` `associate-l_binary64_1042`
91×	`swap-sqr_binary64_1068` `associate-/r/_binary64_1047`
89×	`difference-of-squares_binary64_1070`
86×	`log-prod_binary64_1187` `cube-prod_binary64_1129`
85×	`distribute-frac-neg_binary64_1064`
82×	`associate-*r/_binary64_1043`
74×	`distribute-neg-frac_binary64_1065`
72×	`sub-neg_binary64_1094`
68×	`sqr-pow_binary64_1073`
63×	`*-commutative_binary64_1032`
55×	`cube-div_binary64_1130` `associate-*l/_binary64_1044`
54×	`distribute-rgt-in_binary64_1051`
50×	`log-div_binary64_1188`
49×	`+-commutative_binary64_1031`
48×	`associate-+l+_binary64_1034`
47×	`distribute-lft-in_binary64_1050`
40×	`pow-sqr_binary64_1074` `associate-+r+_binary64_1033`
27×	`neg-sub0_binary64_1096`
25×	`*-rgt-identity_binary64_1091`
22×	`pow-plus_binary64_1164`
21×	`neg-mul-1_binary64_1097`
20×	`exp-sum_binary64_1147` `distribute-rgt-neg-in_binary64_1059`
19×	`associate-+r-_binary64_1035`
18×	`mul0-lft_binary64_1083`
17×	`/-rgt-identity_binary64_1092`
16×	`mul0-rgt_binary64_1084` `distribute-rgt-out_binary64_1054`
15×	`+-rgt-identity_binary64_1086` `associate-+l-_binary64_1036`
14×	`log-pow_binary64_1190` `exp-sqrt_binary64_1154`
13×	`unswap-sqr_binary64_1069` `distribute-neg-in_binary64_1062`
12×	`rec-exp_binary64_1151` `*-lft-identity_binary64_1090` `sub0-neg_binary64_1088` `distribute-lft-neg-in_binary64_1058`
10×	`distribute-lft-neg-out_binary64_1060` `associate--l+_binary64_1038`
9×	`cube-unmult_binary64_1138` `distribute-neg-out_binary64_1063`
8×	`exp-diff_binary64_1149` `rem-sqrt-square_binary64_1114`
7×	`unpow3_binary64_1167` `exp-lft-sqr_binary64_1156` `difference-of-sqr--1_binary64_1072` `distribute-rgt1-in_binary64_1057` `distribute-rgt-out--_binary64_1055`
6×	`log-rec_binary64_1189` `pow-base-1_binary64_1161` `cube-mult_binary64_1131`
5×	`rem-log-exp_binary64_1142`
4×	`mul-1-neg_binary64_1093` `+-lft-identity_binary64_1085` `remove-double-div_binary64_1077` `distribute-lft-out_binary64_1052` `associate--r+_binary64_1037`
3×	`*-inverses_binary64_1081` `difference-of-sqr-1_binary64_1071` `distribute-lft1-in_binary64_1056`
2×	`exp-to-pow_binary64_1163` `exp-neg_binary64_1148` `sqr-neg_binary64_1115` `count-2_binary64_1049` `associate--r-_binary64_1040`
1×	`unpow2_binary64_1166` `unpow1_binary64_1159` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `cube-neg_binary64_1128` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-square-sqrt_binary64_1113` `remove-double-neg_binary64_1089` `rgt-mult-inverse_binary64_1078` `distribute-lft-out--_binary64_1053`
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` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-cbrt_binary64_1155` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-exp-log_binary64_1141` `rem-3cbrt-rft_binary64_1127` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `--rgt-identity_binary64_1087` `div0_binary64_1082` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `cancel-sign-sub_binary64_1066` `associate--l-_binary64_1039`

Counts

75 → 181

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1298
1	240	1225
2	659	1216
3	2518	1216

prune226.0ms (2.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	178	3	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	179	3	182

Error

0.0b

Counts

182 → 3

Compiler

Compiled 2992 to 1524 computations (49.1% saved)

localize41.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
0.1b	(*.f64 1/24 (pow.f64 x 4))
0.3b	(*.f64 x 1/6)
10.8b	(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 (.f64 x x) (+.f64 1/2 (.f64 x 1/6))))

rewrite401.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-sqr-sqrt_binary64_1123`
16×	`add-exp-log_binary64_1139`
13×	`add-cbrt-cube_binary64_1137` `associate-r_binary64_1041`
11×	`pow1_binary64_1162`
10×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
7×	`prod-exp_binary64_1150` `associate-l_binary64_1042`
6×	`add-log-exp_binary64_1140`
5×	`cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069`
4×	`pow-prod-down_binary64_1172` `unpow-prod-down_binary64_1180`
3×	`*-commutative_binary64_1032`
2×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `distribute-rgt-in_binary64_1051` `associate-+r+_binary64_1033` `distribute-lft-in_binary64_1050` `sqr-pow_binary64_1073` `associate-*r/_binary64_1043`
1×	`sum-log_binary64_1192` `+-commutative_binary64_1031` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169`

Counts

4 → 79

Calls

4 calls:

7.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
5.0ms	(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 (.f64 x x) (+.f64 1/2 (.f64 x 1/6))))
5.0ms	(*.f64 1/24 (pow.f64 x 4))
3.0ms	(*.f64 x 1/6)

Compiler

Compiled 2200 to 1420 computations (35.5% saved)

series192.0ms (2.3%)

Error

0.0b

Counts

4 → 17

Calls

4 calls:

68.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
59.0ms	(*.f64 1/24 (pow.f64 x 4))
47.0ms	(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 (.f64 x x) (+.f64 1/2 (.f64 x 1/6))))
9.0ms	(*.f64 x 1/6)

Compiler

Compiled 844 to 627 computations (25.7% saved)

simplify271.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

649×	`distribute-rgt-in_binary64_1051`
635×	`distribute-lft-in_binary64_1050`
263×	`associate-l_binary64_1042`
213×	`associate-r_binary64_1041`
163×	`unswap-sqr_binary64_1069`
154×	`cancel-sign-sub-inv_binary64_1067`
123×	`distribute-rgt-neg-in_binary64_1059` `associate-+l+_binary64_1034`
109×	`distribute-lft-neg-in_binary64_1058`
78×	`sqr-pow_binary64_1073`
74×	`*-commutative_binary64_1032`
73×	`associate-*l/_binary64_1044`
64×	`associate-*r/_binary64_1043`
53×	`exp-prod_binary64_1153`
46×	`associate--r+_binary64_1037`
44×	`log-prod_binary64_1187`
40×	`pow-sqr_binary64_1074`
34×	`cube-prod_binary64_1129` `distribute-neg-in_binary64_1062`
31×	`associate--l+_binary64_1038`
27×	`*-lft-identity_binary64_1090`
26×	`distribute-rgt-out_binary64_1054`
25×	`neg-mul-1_binary64_1097` `neg-sub0_binary64_1096`
23×	`sub-neg_binary64_1094` `*-rgt-identity_binary64_1091`
21×	`distribute-lft-neg-out_binary64_1060`
20×	`distribute-lft-out_binary64_1052`
17×	`distribute-rgt-out--_binary64_1055`
16×	`+-commutative_binary64_1031`
14×	`unpow3_binary64_1167` `pow-plus_binary64_1164`
12×	`swap-sqr_binary64_1068`
11×	`exp-sum_binary64_1147`
9×	`log-pow_binary64_1190` `distribute-rgt-neg-out_binary64_1061` `distribute-lft-out--_binary64_1053`
8×	`associate-+r-_binary64_1035`
6×	`cube-mult_binary64_1131` `associate-/l*_binary64_1046` `associate-+l-_binary64_1036`
5×	`associate-/l/_binary64_1048`
4×	`cube-unmult_binary64_1138`
3×	`pow-base-1_binary64_1161` `associate-+r+_binary64_1033`
2×	`prod-exp_binary64_1150` `unsub-neg_binary64_1095` `difference-of-squares_binary64_1070` `count-2_binary64_1049`
1×	`log-div_binary64_1188` `unpow2_binary64_1166` `unpow1_binary64_1159` `exp-sqrt_binary64_1154` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-log-exp_binary64_1142` `cube-div_binary64_1130` `rem-sqrt-square_binary64_1114` `*-inverses_binary64_1081` `distribute-neg-frac_binary64_1065`
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` `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` `div-exp_binary64_1152` `rec-exp_binary64_1151` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `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` `times-frac_binary64_1107` `div-sub_binary64_1106` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `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_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `cancel-sign-sub_binary64_1066` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `associate-/r/_binary64_1047` `associate-/r*_binary64_1045` `associate--r-_binary64_1040` `associate--l-_binary64_1039`

Counts

96 → 106

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	144	1330
1	366	1285
2	1518	1285

prune220.0ms (2.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	106	3	109

Error

0.0b

Counts

109 → 3

Compiler

Compiled 3389 to 2295 computations (32.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
0.0b	(+.f64 (/.f64 1 x) (*.f64 x 1/12))
0.3b	(*.f64 x 1/12)

rewrite46.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-log-exp_binary64_1140`
7×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
5×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136`
4×	`sum-log_binary64_1192`
3×	`associate-l_binary64_1042` `associate-r_binary64_1041`
2×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `+-commutative_binary64_1031`
1×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032` `distribute-lft-out_binary64_1052` `associate-+r+_binary64_1033`

Counts

3 → 43

Calls

3 calls:

7.0ms	(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
6.0ms	(+.f64 (/.f64 1 x) (*.f64 x 1/12))
4.0ms	(*.f64 x 1/12)

Compiler

Compiled 697 to 556 computations (20.2% saved)

series90.0ms (1.1%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

35.0ms	(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
32.0ms	(*.f64 x 1/12)
16.0ms	(+.f64 (/.f64 1 x) (*.f64 x 1/12))

Compiler

Compiled 321 to 277 computations (13.7% saved)

simplify297.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

381×	`associate-/l*_binary64_1046`
264×	`log-div_binary64_1188`
263×	`cancel-sign-sub-inv_binary64_1067`
242×	`associate-/r*_binary64_1045`
236×	`associate-l_binary64_1042`
216×	`distribute-rgt-in_binary64_1051`
201×	`*-commutative_binary64_1032`
196×	`associate-/l/_binary64_1048`
188×	`associate-r_binary64_1041`
184×	`distribute-rgt-out_binary64_1054`
183×	`distribute-lft-in_binary64_1050`
178×	`+-commutative_binary64_1031`
159×	`associate--l+_binary64_1038`
138×	`times-frac_binary64_1107`
134×	`associate-/r/_binary64_1047`
122×	`distribute-rgt-neg-in_binary64_1059`
100×	`distribute-lft-neg-in_binary64_1058`
93×	`sub-neg_binary64_1094` `associate-+l-_binary64_1036`
85×	`distribute-rgt-out--_binary64_1055`
80×	`associate--r+_binary64_1037` `associate-+r-_binary64_1035`
66×	`associate-+l+_binary64_1034`
60×	`sqr-pow_binary64_1073` `unswap-sqr_binary64_1069`
55×	`associate-+r+_binary64_1033`
52×	`distribute-neg-in_binary64_1062`
50×	`exp-prod_binary64_1153`
45×	`cube-prod_binary64_1129` `distribute-neg-frac_binary64_1065`
44×	`log-prod_binary64_1187`
43×	`associate-*l/_binary64_1044`
40×	`swap-sqr_binary64_1068`
36×	`pow-sqr_binary64_1074`
35×	`unsub-neg_binary64_1095`
34×	`associate--l-_binary64_1039`
29×	`cube-div_binary64_1130` `neg-sub0_binary64_1096` `distribute-lft-neg-out_binary64_1060`
28×	`neg-mul-1_binary64_1097`
25×	`div-sub_binary64_1106` `associate-*r/_binary64_1043`
22×	`log-rec_binary64_1189` `-rgt-identity_binary64_1091` `-lft-identity_binary64_1090`
21×	`log-pow_binary64_1190`
19×	`distribute-rgt-neg-out_binary64_1061` `distribute-lft-out_binary64_1052`
14×	`+-rgt-identity_binary64_1086`
8×	`/-rgt-identity_binary64_1092` `sub0-neg_binary64_1088`
7×	`unpow3_binary64_1167` `pow-plus_binary64_1164`
6×	`prod-exp_binary64_1150` `distribute-rgt1-in_binary64_1057` `distribute-lft-out--_binary64_1053`
5×	`cube-unmult_binary64_1138` `cube-mult_binary64_1131` `difference-of-squares_binary64_1070`
4×	`associate--r-_binary64_1040`
3×	`pow-base-1_binary64_1161`
2×	`exp-sum_binary64_1147` `cancel-sign-sub_binary64_1066`
1×	`div-exp_binary64_1152` `rec-exp_binary64_1151` `exp-diff_binary64_1149` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-log-exp_binary64_1142` `div0_binary64_1082` `lft-mult-inverse_binary64_1079` `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` `unpow2_binary64_1166` `unpow1/2_binary64_1165` `exp-to-pow_binary64_1163` `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-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `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-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `mul-1-neg_binary64_1093` `remove-double-neg_binary64_1089` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `*-inverses_binary64_1081` `+-inverses_binary64_1080` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063`

Counts

61 → 112

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	722
1	216	686
2	640	686
3	1992	686
4	4697	686

prune127.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	111	4	115

Error

Counts

115 → 4

Compiler

Compiled 2443 to 1936 computations (20.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
3.0b	(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite43.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
18×	`times-frac_binary64_1107`
14×	`add-cube-cbrt_binary64_1136`
10×	`difference-of-squares_binary64_1070`
6×	`add-exp-log_binary64_1139` `associate-/r*_binary64_1045`
5×	`distribute-lft-out--_binary64_1053`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
3×	`pow1_binary64_1162` `cancel-sign-sub-inv_binary64_1067` `associate-/l*_binary64_1046`
2×	`flip3--_binary64_1105` `flip--_binary64_1076` `div-exp_binary64_1152` `associate-/r/_binary64_1047`
1×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `inv-pow_binary64_1186` `pow-flip_binary64_1175` `1-exp_binary64_1145` `rec-exp_binary64_1151` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098`

Counts

2 → 62

Calls

2 calls:

6.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
4.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

Compiler

Compiled 947 to 597 computations (37% saved)

series53.0ms (0.6%)

Error

Counts

2 → 12

Calls

2 calls:

20.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))
16.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))

Compiler

Compiled 250 to 219 computations (12.4% saved)

simplify329.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

491×	`associate-/l/_binary64_1048`
474×	`associate-/r/_binary64_1047`
402×	`cancel-sign-sub-inv_binary64_1067`
212×	`div-sub_binary64_1106`
173×	`distribute-rgt-out_binary64_1054`
150×	`unsub-neg_binary64_1095`
147×	`associate-l_binary64_1042`
137×	`associate-r_binary64_1041`
135×	`exp-prod_binary64_1153`
128×	`sub-neg_binary64_1094`
126×	`unswap-sqr_binary64_1069`
120×	`distribute-rgt-out--_binary64_1055`
111×	`distribute-rgt-neg-in_binary64_1059`
92×	`distribute-lft-neg-out_binary64_1060`
91×	`sqr-pow_binary64_1073` `distribute-lft-neg-in_binary64_1058`
89×	`distribute-rgt-neg-out_binary64_1061`
78×	`prod-exp_binary64_1150`
66×	`cube-prod_binary64_1129`
64×	`times-frac_binary64_1107`
63×	`associate-/l*_binary64_1046`
62×	`neg-sub0_binary64_1096` `*-commutative_binary64_1032`
53×	`div-exp_binary64_1152`
50×	`distribute-lft-out_binary64_1052` `associate-*r/_binary64_1043`
49×	`pow-sqr_binary64_1074` `+-commutative_binary64_1031`
48×	`distribute-neg-frac_binary64_1065`
46×	`neg-mul-1_binary64_1097`
43×	`associate-*l/_binary64_1044`
41×	`distribute-rgt-in_binary64_1051` `associate-/r*_binary64_1045`
39×	`exp-sum_binary64_1147`
36×	`cube-div_binary64_1130`
32×	`distribute-lft-in_binary64_1050` `associate-+l+_binary64_1034`
30×	`swap-sqr_binary64_1068`
28×	`associate-+l-_binary64_1036`
26×	`distribute-neg-out_binary64_1063`
25×	`*-rgt-identity_binary64_1091`
24×	`distribute-rgt1-in_binary64_1057`
22×	`exp-diff_binary64_1149` `distribute-frac-neg_binary64_1064`
21×	`pow-plus_binary64_1164` `/-rgt-identity_binary64_1092` `sub0-neg_binary64_1088` `distribute-lft-out--_binary64_1053`
20×	`associate--l+_binary64_1038` `associate-+r+_binary64_1033`
18×	`*-lft-identity_binary64_1090` `associate-+r-_binary64_1035`
15×	`log-pow_binary64_1190` `log-prod_binary64_1187` `associate--l-_binary64_1039`
14×	`log-div_binary64_1188` `exp-sqrt_binary64_1154` `difference-of-squares_binary64_1070`
13×	`mul0-lft_binary64_1083`
12×	`+-rgt-identity_binary64_1086`
11×	`exp-neg_binary64_1148` `rem-sqrt-square_binary64_1114` `mul0-rgt_binary64_1084`
10×	`cube-unmult_binary64_1138` `associate--r+_binary64_1037`
9×	`+-lft-identity_binary64_1085` `distribute-neg-in_binary64_1062`
8×	`unpow3_binary64_1167` `exp-lft-sqr_binary64_1156`
7×	`rec-exp_binary64_1151` `difference-of-sqr-1_binary64_1071`
6×	`pow-base-1_binary64_1161` `remove-double-neg_binary64_1089` `count-2_binary64_1049`
5×	`cube-mult_binary64_1131` `cancel-sign-sub_binary64_1066`
4×	`difference-of-sqr--1_binary64_1072`
3×	`log-rec_binary64_1189` `sqr-neg_binary64_1115` `distribute-lft1-in_binary64_1056` `associate--r-_binary64_1040`
2×	`exp-to-pow_binary64_1163` `mul-1-neg_binary64_1093`
1×	`unpow2_binary64_1166` `unpow1_binary64_1159` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-log-exp_binary64_1142` `cube-neg_binary64_1128` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-square-sqrt_binary64_1113` `--rgt-identity_binary64_1087` `div0_binary64_1082` `*-inverses_binary64_1081` `+-inverses_binary64_1080` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077`
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` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-cbrt_binary64_1155` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-exp-log_binary64_1141` `rem-3cbrt-rft_binary64_1127` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `lft-mult-inverse_binary64_1079`

Counts

74 → 111

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	1354
1	255	1123
2	580	1117
3	1891	1117

prune67.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	111	4	115

Error

Counts

115 → 4

Compiler

Compiled 1738 to 1151 computations (33.8% saved)

regimes295.0ms (3.5%)

Accuracy

Total 1.0b remaining (98.7%)

Threshold costs 1.0b (98.7%)

Compiler

Compiled 1674 to 1234 computations (26.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_binary64_1032 +-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 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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	15	21

Proof

(/ f64 (exp f64 h0) (+ f64 h0 (* f64 (* f64 h0 h0) (+ f64 1/2 (* f64 h0 1/6)))))

end0.0ms (0%)

sample3.1s (36.8%)

Algorithm

1×

intervals

Results

582.0ms	2645×	body	1024	valid
256.0ms	3100×	body	128	valid
171.0ms	1333×	body	512	valid
149.0ms	262×	body	2048	valid
41.0ms	660×	body	256	valid

Compiler

Compiled 505 to 380 computations (24.8% saved)

Details

analyze620.0ms (7.4%)

sample43.0ms (0.5%)

simplify300.0ms (3.6%)

prune1.0ms (0%)

localize4.0ms (0.1%)

rewrite185.0ms (2.2%)

series206.0ms (2.5%)

simplify1.2s (14.4%)

prune226.0ms (2.7%)

localize41.0ms (0.5%)

rewrite401.0ms (4.8%)

series192.0ms (2.3%)

simplify271.0ms (3.2%)

prune220.0ms (2.6%)

localize6.0ms (0.1%)

rewrite46.0ms (0.5%)

series90.0ms (1.1%)

simplify297.0ms (3.6%)

prune127.0ms (1.5%)

localize5.0ms (0.1%)

rewrite43.0ms (0.5%)

series53.0ms (0.6%)

simplify329.0ms (3.9%)

prune67.0ms (0.8%)

regimes295.0ms (3.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.1s (36.8%)

Profiling