Details

analyze15.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14

Compiler

Compiled 14 to 8 computations (42.9% saved)

sample59.0ms (0.7%)

Algorithm

1×

intervals

Results

31.0ms	119×	body	1024	valid
10.0ms	73×	body	512	valid
3.0ms	32×	body	256	valid
3.0ms	9×	body	2048	valid
1.0ms	23×	body	128	valid

Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify438.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

316×	`exp-prod_binary64_1153`
270×	`*-commutative_binary64_1032`
265×	`neg-mul-1_binary64_1097`
251×	`neg-sub0_binary64_1096`
244×	`unsub-neg_binary64_1095`
231×	`cube-prod_binary64_1129`
208×	`associate-l_binary64_1042`
207×	`associate-r_binary64_1041`
196×	`prod-exp_binary64_1150` `swap-sqr_binary64_1068`
184×	`distribute-lft-neg-in_binary64_1058`
156×	`distribute-rgt-neg-in_binary64_1059`
129×	`div-exp_binary64_1152`
126×	`associate-/l*_binary64_1046`
123×	`sub-neg_binary64_1094`
122×	`unswap-sqr_binary64_1069`
113×	`div-sub_binary64_1106`
107×	`times-frac_binary64_1107`
105×	`exp-sum_binary64_1147`
100×	`distribute-neg-frac_binary64_1065`
99×	`distribute-lft-neg-out_binary64_1060` `distribute-rgt1-in_binary64_1057`
89×	`distribute-rgt-neg-out_binary64_1061`
83×	`associate-/r*_binary64_1045`
79×	`pow-plus_binary64_1164`
61×	`distribute-rgt-in_binary64_1051`
54×	`exp-diff_binary64_1149`
53×	`exp-neg_binary64_1148`
51×	`associate-/l/_binary64_1048`
48×	`sqr-neg_binary64_1115`
43×	`distribute-lft-in_binary64_1050`
41×	`cancel-sign-sub-inv_binary64_1067` `associate-*l/_binary64_1044`
36×	`sqr-pow_binary64_1073` `distribute-frac-neg_binary64_1064`
35×	`associate-/r/_binary64_1047` `associate-*r/_binary64_1043` `associate-+l+_binary64_1034` `associate-+r+_binary64_1033`
32×	`cube-div_binary64_1130`
27×	`distribute-rgt-out_binary64_1054`
26×	`+-commutative_binary64_1031`
24×	`associate-+l-_binary64_1036`
21×	`pow-sqr_binary64_1074` `distribute-neg-in_binary64_1062`
16×	`cube-neg_binary64_1128` `*-lft-identity_binary64_1090`
15×	`exp-lft-sqr_binary64_1156` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083`
14×	`cube-unmult_binary64_1138`
12×	`unpow3_binary64_1167` `cube-mult_binary64_1131` `*-rgt-identity_binary64_1091` `associate--r+_binary64_1037`
9×	`rec-exp_binary64_1151`
8×	`sub0-neg_binary64_1088` `difference-of-squares_binary64_1070` `associate--l-_binary64_1039`
7×	`count-2_binary64_1049`
6×	`+-rgt-identity_binary64_1086`
5×	`div0_binary64_1082` `distribute-lft1-in_binary64_1056` `associate--l+_binary64_1038` `associate-+r-_binary64_1035`
4×	`rem-sqrt-square_binary64_1114` `/-rgt-identity_binary64_1092` `distribute-neg-out_binary64_1063`
3×	`exp-sqrt_binary64_1154` `distribute-lft-out_binary64_1052`
2×	`pow-base-1_binary64_1161` `--rgt-identity_binary64_1087` `rgt-mult-inverse_binary64_1078`
1×	`1-exp_binary64_1145` `exp-1-e_binary64_1144` `remove-double-neg_binary64_1089` `+-lft-identity_binary64_1085` `*-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `difference-of-sqr--1_binary64_1072` `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` `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` `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` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `rem-square-sqrt_binary64_1113` `mul-1-neg_binary64_1093` `remove-double-div_binary64_1077` `difference-of-sqr-1_binary64_1071` `cancel-sign-sub_binary64_1066` `distribute-rgt-out--_binary64_1055` `distribute-lft-out--_binary64_1053`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	20	22
2	34	22
3	60	22
4	130	22
5	364	22
6	1640	22
7	3647	22

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

58.6b

Counts

1 → 1

Compiler

Compiled 13 to 7 computations (46.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.4b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite115.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

47×	`*-un-lft-identity_binary64_1101`
31×	`add-sqr-sqrt_binary64_1123`
30×	`times-frac_binary64_1107`
17×	`add-cube-cbrt_binary64_1136`
8×	`cosh-undef_binary64_1295` `distribute-lft-out_binary64_1052`
7×	`sinh-undef_binary64_1294` `add-log-exp_binary64_1140` `difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053`
6×	`associate-/l*_binary64_1046`
5×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-/r*_binary64_1045`
3×	`pow1_binary64_1162` `cancel-sign-sub-inv_binary64_1067`
2×	`flip3--_binary64_1105` `flip--_binary64_1076` `associate-/l/_binary64_1048` `flip3-+_binary64_1104` `associate-/r/_binary64_1047` `flip-+_binary64_1075`
1×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `tanh-undef_binary64_1296` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `div-sub_binary64_1106` `clear-num_binary64_1100` `div-inv_binary64_1098` `sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

3 → 89

Calls

3 calls:

13.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1999 to 313 computations (84.3% saved)

series217.0ms (2.7%)

Error

1.3b

Counts

3 → 18

Calls

3 calls:

115.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
45.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
34.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 602 to 382 computations (36.5% saved)

simplify1.7s (21.1%)

Algorithm

1×	egg-herbie

Rules

487×	`times-frac_binary64_1107`
414×	`associate-r_binary64_1041`
381×	`associate-l_binary64_1042`
304×	`associate-/l*_binary64_1046`
195×	`log-prod_binary64_1187` `associate-*l/_binary64_1044`
186×	`associate-/r*_binary64_1045`
170×	`associate-/l/_binary64_1048`
162×	`associate-*r/_binary64_1043`
132×	`distribute-rgt-in_binary64_1051`
120×	`*-commutative_binary64_1032`
108×	`distribute-lft-in_binary64_1050`
105×	`cancel-sign-sub-inv_binary64_1067`
89×	`associate-/r/_binary64_1047`
85×	`prod-exp_binary64_1150` `associate-+l+_binary64_1034`
83×	`log-div_binary64_1188`
81×	`+-commutative_binary64_1031`
80×	`div-sub_binary64_1106`
64×	`sub-neg_binary64_1094`
52×	`associate-+r+_binary64_1033`
46×	`div-exp_binary64_1152` `distribute-rgt-neg-in_binary64_1059`
40×	`sqr-pow_binary64_1073`
37×	`neg-mul-1_binary64_1097` `neg-sub0_binary64_1096`
36×	`exp-prod_binary64_1153`
35×	`distribute-neg-frac_binary64_1065`
34×	`exp-lft-sqr_binary64_1156` `distribute-lft-neg-in_binary64_1058`
26×	`distribute-lft-neg-out_binary64_1060` `associate-+l-_binary64_1036`
21×	`distribute-rgt-out_binary64_1054` `associate-+r-_binary64_1035`
20×	`unswap-sqr_binary64_1069`
18×	`pow-sqr_binary64_1074`
15×	`unpow3_binary64_1167` `cube-prod_binary64_1129`
13×	`distribute-rgt-neg-out_binary64_1061`
12×	`swap-sqr_binary64_1068`
11×	`associate--l+_binary64_1038`
10×	`pow-plus_binary64_1164` `cube-div_binary64_1130` `unsub-neg_binary64_1095` `*-rgt-identity_binary64_1091` `distribute-rgt-out--_binary64_1055`
9×	`/-rgt-identity_binary64_1092` `associate--r+_binary64_1037`
8×	`log-pow_binary64_1190`
7×	`distribute-neg-in_binary64_1062`
6×	`exp-diff_binary64_1149` `*-lft-identity_binary64_1090` `distribute-rgt1-in_binary64_1057`
5×	`log-rec_binary64_1189` `rec-exp_binary64_1151` `exp-sum_binary64_1147` `difference-of-squares_binary64_1070` `distribute-lft-out_binary64_1052`
4×	`cube-unmult_binary64_1138` `distribute-neg-out_binary64_1063` `distribute-lft1-in_binary64_1056`
3×	`exp-sqrt_binary64_1154` `cube-mult_binary64_1131` `+-rgt-identity_binary64_1086` `count-2_binary64_1049` `associate--r-_binary64_1040`
2×	`exp-neg_binary64_1148` `rem-log-exp_binary64_1142` `rem-sqrt-square_binary64_1114` `--rgt-identity_binary64_1087`
1×	`cosh-def_binary64_1287` `sinh-def_binary64_1286` `unpow2_binary64_1166` `pow-base-1_binary64_1161` `unpow1_binary64_1159` `1-exp_binary64_1145` `rem-3cbrt-lft_binary64_1126` `rem-square-sqrt_binary64_1113` `remove-double-neg_binary64_1089` `sub0-neg_binary64_1088` `*-inverses_binary64_1081` `lft-mult-inverse_binary64_1079` `difference-of-sqr--1_binary64_1072` `cancel-sign-sub_binary64_1066` `associate--l-_binary64_1039`
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` `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-cbrt_binary64_1155` `e-exp-1_binary64_1146` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-exp-log_binary64_1141` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `mul-1-neg_binary64_1093` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `+-inverses_binary64_1080` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-sqr-1_binary64_1071` `distribute-frac-neg_binary64_1064` `distribute-lft-out--_binary64_1053`

Counts

107 → 353

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	2708
1	393	2250
2	1001	1801
3	4557	1801

prune407.0ms (5.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	349	4	353
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	350	4	354

Error

0.9b

Counts

354 → 4

Compiler

Compiled 7601 to 2510 computations (67% saved)

localize4.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(sinh.f64 x)
1.5b	(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite38.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

11×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
9×	`times-frac_binary64_1107`
5×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
3×	`pow1_binary64_1162` `add-log-exp_binary64_1140` `associate-/l_binary64_1046` `associate-/r_binary64_1045`
2×	`sinh-def_binary64_1286` `cosh-def_binary64_1287`
1×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047`

Counts

3 → 45

Calls

3 calls:

4.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
1.0ms	(cosh.f64 x)
1.0ms	(sinh.f64 x)

Compiler

Compiled 501 to 139 computations (72.3% saved)

series302.0ms (3.8%)

Error

0.9b

Counts

3 → 18

Calls

3 calls:

166.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
61.0ms	(cosh.f64 x)
57.0ms	(sinh.f64 x)

Compiler

Compiled 510 to 374 computations (26.7% saved)

simplify150.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1059×	`div-sub_binary64_1106`
558×	`associate-/r*_binary64_1045`
278×	`*-commutative_binary64_1032`
162×	`cancel-sign-sub-inv_binary64_1067`
130×	`associate-/l/_binary64_1048`
127×	`distribute-rgt-in_binary64_1051`
122×	`distribute-lft-in_binary64_1050`
95×	`associate-/l*_binary64_1046`
91×	`exp-prod_binary64_1153`
88×	`sub-neg_binary64_1094`
83×	`associate-+l+_binary64_1034`
78×	`associate-*l/_binary64_1044`
77×	`associate-l_binary64_1042`
72×	`+-commutative_binary64_1031`
70×	`distribute-rgt-neg-in_binary64_1059` `associate-/r/_binary64_1047`
69×	`times-frac_binary64_1107` `associate-r_binary64_1041`
63×	`associate-*r/_binary64_1043`
60×	`sqr-pow_binary64_1073`
57×	`associate-+l-_binary64_1036`
56×	`log-div_binary64_1188`
55×	`cube-div_binary64_1130` `distribute-lft-neg-in_binary64_1058`
53×	`associate-+r+_binary64_1033`
52×	`associate--l-_binary64_1039`
49×	`exp-diff_binary64_1149`
46×	`exp-sqrt_binary64_1154`
38×	`cube-prod_binary64_1129`
37×	`log-prod_binary64_1187`
36×	`pow-sqr_binary64_1074`
35×	`exp-sum_binary64_1147`
33×	`associate-+r-_binary64_1035`
30×	`neg-sub0_binary64_1096`
28×	`distribute-neg-frac_binary64_1065`
27×	`neg-mul-1_binary64_1097` `unswap-sqr_binary64_1069`
26×	`associate--l+_binary64_1038`
21×	`prod-exp_binary64_1150`
19×	`pow-plus_binary64_1164` `unsub-neg_binary64_1095`
18×	`associate--r+_binary64_1037`
16×	`cube-unmult_binary64_1138` `distribute-lft-neg-out_binary64_1060`
15×	`div-exp_binary64_1152` `*-rgt-identity_binary64_1091` `swap-sqr_binary64_1068`
13×	`unpow3_binary64_1167` `cube-mult_binary64_1131`
12×	`/-rgt-identity_binary64_1092`
11×	`associate--r-_binary64_1040`
10×	`*-lft-identity_binary64_1090` `distribute-neg-out_binary64_1063` `distribute-lft-out_binary64_1052`
9×	`exp-lft-sqr_binary64_1156` `sub0-neg_binary64_1088` `distribute-neg-in_binary64_1062`
6×	`+-rgt-identity_binary64_1086` `distribute-rgt-neg-out_binary64_1061` `distribute-rgt1-in_binary64_1057` `distribute-rgt-out_binary64_1054`
4×	`log-pow_binary64_1190` `log-rec_binary64_1189` `rec-exp_binary64_1151`
3×	`exp-to-pow_binary64_1163`
2×	`rem-sqrt-square_binary64_1114` `cancel-sign-sub_binary64_1066` `distribute-rgt-out--_binary64_1055` `count-2_binary64_1049`
1×	`cosh-def_binary64_1287` `sinh-def_binary64_1286` `unpow2_binary64_1166` `pow-base-1_binary64_1161` `unpow1_binary64_1159` `exp-neg_binary64_1148` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-neg_binary64_1128` `sqr-neg_binary64_1115` `remove-double-neg_binary64_1089` `*-inverses_binary64_1081` `rgt-mult-inverse_binary64_1078` `distribute-frac-neg_binary64_1064` `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` `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-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `rem-square-sqrt_binary64_1113` `mul-1-neg_binary64_1093` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `remove-double-div_binary64_1077` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `difference-of-squares_binary64_1070` `distribute-lft1-in_binary64_1056`

Counts

63 → 54

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	854
1	236	806
2	617	752
3	1623	752
4	3945	752

prune51.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	54	4	58

Error

0.9b

Counts

58 → 4

Compiler

Compiled 817 to 411 computations (49.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (pow.f64 x 5) 2/15) (.f64 1/3 (pow.f64 x 3)))
0.0b	(*.f64 (pow.f64 x 5) 2/15)
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite110.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

22×	`add-sqr-sqrt_binary64_1123`
15×	`associate-r_binary64_1041`
13×	`add-exp-log_binary64_1139`
10×	`add-cube-cbrt_binary64_1136` `-un-lft-identity_binary64_1101` `associate-l*_binary64_1042`
8×	`unpow-prod-down_binary64_1180`
7×	`add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
6×	`prod-exp_binary64_1150`
5×	`add-log-exp_binary64_1140`
4×	`cube-prod_binary64_1129` `sqr-pow_binary64_1073`
3×	`pow1_binary64_1162`
2×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `*-commutative_binary64_1032`
1×	`unpow3_binary64_1167` `cube-mult_binary64_1131` `diff-log_binary64_1193` `flip3--_binary64_1105` `sub-neg_binary64_1094` `flip--_binary64_1076` `cancel-sign-sub-inv_binary64_1067`

Counts

3 → 68

Calls

3 calls:

7.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(*.f64 (pow.f64 x 5) 2/15)
5.0ms	(-.f64 (.f64 (pow.f64 x 5) 2/15) (.f64 1/3 (pow.f64 x 3)))

Compiler

Compiled 1374 to 1084 computations (21.1% saved)

series294.0ms (3.7%)

Error

0.9b

Counts

3 → 12

Calls

3 calls:

162.0ms	(-.f64 (.f64 (pow.f64 x 5) 2/15) (.f64 1/3 (pow.f64 x 3)))
66.0ms	(*.f64 (pow.f64 x 5) 2/15)
56.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 393 to 322 computations (18.1% saved)

simplify187.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

351×	`exp-prod_binary64_1153`
296×	`distribute-rgt-neg-in_binary64_1059`
277×	`distribute-lft-neg-in_binary64_1058`
219×	`*-commutative_binary64_1032`
205×	`cancel-sign-sub-inv_binary64_1067`
202×	`distribute-rgt-in_binary64_1051`
186×	`log-prod_binary64_1187`
177×	`neg-mul-1_binary64_1097`
176×	`sqr-pow_binary64_1073`
163×	`distribute-lft-in_binary64_1050`
145×	`associate-l_binary64_1042`
140×	`cube-prod_binary64_1129`
135×	`unswap-sqr_binary64_1069`
128×	`associate-r_binary64_1041`
103×	`pow-sqr_binary64_1074`
91×	`log-pow_binary64_1190`
85×	`distribute-rgt-out_binary64_1054`
78×	`associate-+r+_binary64_1033`
77×	`associate-/l*_binary64_1046`
74×	`pow-plus_binary64_1164` `associate-+l+_binary64_1034`
65×	`swap-sqr_binary64_1068`
62×	`exp-sum_binary64_1147`
59×	`neg-sub0_binary64_1096`
54×	`difference-of-squares_binary64_1070`
46×	`exp-to-pow_binary64_1163`
44×	`unpow3_binary64_1167`
33×	`unsub-neg_binary64_1095` `associate-/r*_binary64_1045`
32×	`sub-neg_binary64_1094`
31×	`cube-mult_binary64_1131`
29×	`*-lft-identity_binary64_1090` `associate-/l/_binary64_1048`
26×	`-rgt-identity_binary64_1091` `associate-r/_binary64_1043`
22×	`distribute-lft-neg-out_binary64_1060` `+-commutative_binary64_1031`
18×	`rem-sqrt-square_binary64_1114`
17×	`associate-*l/_binary64_1044`
16×	`distribute-rgt-neg-out_binary64_1061` `distribute-lft-out_binary64_1052`
15×	`exp-diff_binary64_1149` `times-frac_binary64_1107`
12×	`pow-base-1_binary64_1161`
11×	`cube-unmult_binary64_1138` `sqr-neg_binary64_1115`
9×	`div-sub_binary64_1106` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `count-2_binary64_1049`
8×	`associate-/r/_binary64_1047`
7×	`unpow1/3_binary64_1168`
6×	`associate-+l-_binary64_1036`
5×	`distribute-rgt-out--_binary64_1055` `associate-+r-_binary64_1035`
4×	`exp-sqrt_binary64_1154` `prod-exp_binary64_1150`
3×	`exp-neg_binary64_1148` `sub0-neg_binary64_1088` `+-rgt-identity_binary64_1086`
2×	`exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `div-exp_binary64_1152` `distribute-neg-in_binary64_1062` `associate--r+_binary64_1037`
1×	`log-div_binary64_1188` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-log-exp_binary64_1142` `cube-div_binary64_1130` `cube-neg_binary64_1128` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `rem-square-sqrt_binary64_1113` `*-inverses_binary64_1081` `distribute-rgt1-in_binary64_1057` `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` `log-rec_binary64_1189` `pow-base-0_binary64_1185` `unpow2_binary64_1166` `unpow1/2_binary64_1165` `unpow0_binary64_1160` `unpow1_binary64_1159` `unpow-1_binary64_1158` `exp-cbrt_binary64_1155` `rec-exp_binary64_1151` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-exp-log_binary64_1141` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `sqr-abs_binary64_1116` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `remove-double-neg_binary64_1089` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `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-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-lft1-in_binary64_1056` `associate--r-_binary64_1040` `associate--l-_binary64_1039` `associate--l+_binary64_1038`

Counts

80 → 100

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1027
1	254	966
2	873	965
3	1814	965
4	4377	965

prune170.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	98	6	104

Error

0.9b

Counts

104 → 6

Compiler

Compiled 2446 to 1902 computations (22.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.7b	(pow.f64 (cbrt.f64 x) 5)

rewrite90.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

12×	`cbrt-prod_binary64_1132`
10×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
6×	`unpow-prod-down_binary64_1180`
5×	`pow1_binary64_1162` `add-exp-log_binary64_1139`
4×	`pow1/3_binary64_1183` `add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
3×	`pow-unpow_binary64_1178`
2×	`pow-pow_binary64_1173`
1×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `sqr-pow_binary64_1073`

Counts

4 → 54

Calls

4 calls:

3.0ms	(pow.f64 (cbrt.f64 x) 5)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1438 to 846 computations (41.2% saved)

series568.0ms (7.1%)

Error

0.9b

Counts

4 → 12

Calls

4 calls:

203.0ms	(pow.f64 (cbrt.f64 x) 5)
119.0ms	(cbrt.f64 x)
114.0ms	(cbrt.f64 x)
112.0ms	(cbrt.f64 x)

Compiler

Compiled 894 to 687 computations (23.2% saved)

simplify154.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

662×	`distribute-rgt-in_binary64_1051`
592×	`distribute-lft-in_binary64_1050`
358×	`unswap-sqr_binary64_1069`
313×	`associate-/l/_binary64_1048`
248×	`log-prod_binary64_1187`
233×	`distribute-rgt-neg-in_binary64_1059` `distribute-lft-neg-in_binary64_1058`
228×	`sqr-pow_binary64_1073`
141×	`associate-l_binary64_1042`
138×	`distribute-rgt-out_binary64_1054`
137×	`*-commutative_binary64_1032`
132×	`pow-sqr_binary64_1074`
107×	`associate-r_binary64_1041`
104×	`times-frac_binary64_1107`
69×	`cancel-sign-sub-inv_binary64_1067`
59×	`pow-plus_binary64_1164` `associate-/l*_binary64_1046`
52×	`exp-prod_binary64_1153`
48×	`associate-/r*_binary64_1045`
44×	`cube-prod_binary64_1129`
42×	`log-pow_binary64_1190`
39×	`cube-unmult_binary64_1138`
36×	`neg-sub0_binary64_1096`
34×	`neg-mul-1_binary64_1097`
31×	`associate-/r/_binary64_1047`
27×	`count-2_binary64_1049`
24×	`distribute-lft-out_binary64_1052` `associate-*l/_binary64_1044`
18×	`rem-sqrt-square_binary64_1114`
17×	`associate-*r/_binary64_1043`
14×	`/-rgt-identity_binary64_1092`
13×	`sub-neg_binary64_1094` `*-rgt-identity_binary64_1091`
12×	`*-lft-identity_binary64_1090` `swap-sqr_binary64_1068` `distribute-lft1-in_binary64_1056`
11×	`distribute-rgt1-in_binary64_1057`
8×	`pow-base-1_binary64_1161` `distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060`
7×	`unpow3_binary64_1167` `cube-mult_binary64_1131`
6×	`cube-div_binary64_1130`
5×	`associate-+l+_binary64_1034` `+-commutative_binary64_1031`
4×	`unpow1/3_binary64_1168` `prod-exp_binary64_1150` `associate-+r+_binary64_1033`
3×	`remove-double-div_binary64_1077`
2×	`mul-1-neg_binary64_1093`
1×	`unpow1_binary64_1159` `div-exp_binary64_1152` `rec-exp_binary64_1151` `1-exp_binary64_1145` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `+-rgt-identity_binary64_1086` `rgt-mult-inverse_binary64_1078`
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` `log-div_binary64_1188` `pow-base-0_binary64_1185` `unpow2_binary64_1166` `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` `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-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-square-sqrt_binary64_1113` `div-sub_binary64_1106` `unsub-neg_binary64_1095` `remove-double-neg_binary64_1089` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-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` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `difference-of-squares_binary64_1070` `cancel-sign-sub_binary64_1066` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-neg-in_binary64_1062` `distribute-rgt-out--_binary64_1055` `distribute-lft-out--_binary64_1053` `associate--r-_binary64_1040` `associate--l-_binary64_1039` `associate--l+_binary64_1038` `associate--r+_binary64_1037` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035`

Counts

66 → 40

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	530
1	114	518
2	306	514
3	893	489
4	1959	489

prune63.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	40	6	46

Error

0.9b

Counts

46 → 6

Compiler

Compiled 1010 to 643 computations (36.3% saved)

regimes184.0ms (2.3%)

Accuracy

Total 0.0b remaining (96.5%)

Threshold costs 0.0b (96.5%)

Compiler

Compiled 1768 to 1352 computations (23.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3

Proof

(tanh f64 h0)

end0.0ms (0%)

sample2.7s (33.3%)

Algorithm

1×

intervals

Results

1.0s	3845×	body	1024	valid
273.0ms	1978×	body	512	valid
109.0ms	375×	body	2048	valid
86.0ms	982×	body	256	valid
37.0ms	820×	body	128	valid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 886 to 679 computations (23.4% saved)

Details

analyze15.0ms (0.2%)

sample59.0ms (0.7%)

simplify438.0ms (5.5%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite115.0ms (1.4%)

series217.0ms (2.7%)

simplify1.7s (21.1%)

prune407.0ms (5.1%)

localize4.0ms (0.1%)

rewrite38.0ms (0.5%)

series302.0ms (3.8%)

simplify150.0ms (1.9%)

prune51.0ms (0.6%)

localize9.0ms (0.1%)

rewrite110.0ms (1.4%)

series294.0ms (3.7%)

simplify187.0ms (2.3%)

prune170.0ms (2.1%)

localize15.0ms (0.2%)

rewrite90.0ms (1.1%)

series568.0ms (7.1%)

simplify154.0ms (1.9%)

prune63.0ms (0.8%)

regimes184.0ms (2.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.7s (33.3%)

Profiling