Details

analyze2.1s (13.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

556×	`distribute-rgt-in_binary64_1051`
333×	`div-sub_binary64_1106`
234×	`unswap-sqr_binary64_1069`
205×	`associate-/l*_binary64_1046`
191×	`associate-l_binary64_1042`
188×	`times-frac_binary64_1107`
187×	`associate-r_binary64_1041`
124×	`associate-/r*_binary64_1045`
103×	`*-commutative_binary64_1032`
98×	`distribute-lft-in_binary64_1050`
90×	`sub-neg_binary64_1094`
75×	`sqr-pow_binary64_1073`
70×	`associate-/r/_binary64_1047`
61×	`distribute-rgt-neg-in_binary64_1059`
54×	`unsub-neg_binary64_1095`
53×	`associate-*r/_binary64_1043`
51×	`pow-sqr_binary64_1074` `distribute-neg-frac_binary64_1065`
50×	`neg-sub0_binary64_1096`
49×	`distribute-lft-neg-in_binary64_1058`
48×	`distribute-lft-out_binary64_1052` `associate-+l+_binary64_1034` `associate-+r+_binary64_1033`
45×	`difference-of-sqr--1_binary64_1072`
38×	`associate-*l/_binary64_1044`
36×	`distribute-rgt-out_binary64_1054`
34×	`neg-mul-1_binary64_1097`
31×	`cancel-sign-sub-inv_binary64_1067`
30×	`mul-1-neg_binary64_1093`
22×	`+-commutative_binary64_1031`
21×	`difference-of-sqr-1_binary64_1071`
18×	`distribute-neg-in_binary64_1062`
15×	`associate-/l/_binary64_1048`
13×	`exp-prod_binary64_1153`
12×	`exp-sum_binary64_1147` `distribute-neg-out_binary64_1063` `distribute-rgt-out--_binary64_1055` `distribute-lft-out--_binary64_1053`
9×	`cube-unmult_binary64_1138`
8×	`distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060`
1×	`1-exp_binary64_1145` `swap-a-b`
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` `div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-mult_binary64_1131` `cube-div_binary64_1130` `cube-prod_binary64_1129` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `/-rgt-identity_binary64_1092` `-rgt-identity_binary64_1091` `-lft-identity_binary64_1090` `remove-double-neg_binary64_1089` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-rgt-identity_binary64_1086` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `*-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-squares_binary64_1070` `swap-sqr_binary64_1068` `cancel-sign-sub_binary64_1066` `distribute-frac-neg_binary64_1064` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `count-2_binary64_1049` `associate--r-_binary64_1040` `associate--l-_binary64_1039` `associate--l+_binary64_1038` `associate--r+_binary64_1037` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	148
1	101	148
2	269	148
3	658	148
4	2887	148
5	5719	148
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	49.9%	50.1%	0
0%	49.9%	50.1%	1
0%	49.9%	50.1%	2
0%	49.9%	50.1%	3
0%	49.9%	50.1%	4
0%	49.9%	50.1%	5
0%	49.9%	50.1%	6
0%	49.9%	50.1%	7
0%	49.9%	50.1%	8
0.4%	49.5%	50.1%	9
0.4%	49.3%	50.3%	10
0.6%	48.9%	50.5%	11
1.1%	48.1%	50.9%	12
1.5%	47.3%	51.2%	13
1.7%	46.9%	51.5%	14

Symmetry

(sort a b)

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample177.0ms (1.2%)

Algorithm

1×

intervals

Results

86.0ms	120×	body	2048	valid
32.0ms	85×	body	1024	valid
10.0ms	10×	body	2048	overflowed
6.0ms	305×	pre	128	true
6.0ms	26×	body	512	valid
5.0ms	17×	body	1024	overflowed
1.0ms	6×	body	512	overflowed
1.0ms	17×	body	128	valid
1.0ms	8×	body	256	valid
1.0ms	11×	body	128	overflowed
1.0ms	5×	body	256	overflowed

Compiler

Compiled 55 to 46 computations (16.4% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

986×	`times-frac_binary64_1107`
580×	`associate-/l*_binary64_1046`
286×	`associate-/r*_binary64_1045`
126×	`distribute-rgt-in_binary64_1051`
122×	`distribute-lft-in_binary64_1050`
115×	`associate-/l/_binary64_1048`
97×	`associate-/r/_binary64_1047`
91×	`div-sub_binary64_1106`
56×	`unswap-sqr_binary64_1069`
47×	`associate-l_binary64_1042` `associate-r_binary64_1041`
33×	`sqr-pow_binary64_1073`
32×	`sub-neg_binary64_1094`
31×	`*-commutative_binary64_1032`
24×	`distribute-rgt-neg-in_binary64_1059`
21×	`pow-sqr_binary64_1074`
19×	`neg-sub0_binary64_1096` `unsub-neg_binary64_1095` `distribute-lft-neg-in_binary64_1058`
17×	`difference-of-sqr--1_binary64_1072` `associate-*r/_binary64_1043`
16×	`associate-+l+_binary64_1034` `associate-+r+_binary64_1033`
14×	`mul-1-neg_binary64_1093` `cancel-sign-sub-inv_binary64_1067` `distribute-neg-frac_binary64_1065`
12×	`neg-mul-1_binary64_1097` `distribute-rgt-out_binary64_1054` `distribute-lft-out_binary64_1052` `associate-*l/_binary64_1044`
9×	`difference-of-sqr-1_binary64_1071`
8×	`+-commutative_binary64_1031`
6×	`exp-prod_binary64_1153` `distribute-neg-in_binary64_1062`
4×	`exp-sum_binary64_1147` `distribute-neg-out_binary64_1063`
3×	`cube-unmult_binary64_1138`
2×	`distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060` `distribute-rgt-out--_binary64_1055` `distribute-lft-out--_binary64_1053`
1×	`1-exp_binary64_1145`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `log-pow_binary64_1190` `log-rec_binary64_1189` `log-div_binary64_1188` `log-prod_binary64_1187` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `unpow3_binary64_1167` `unpow2_binary64_1166` `unpow1/2_binary64_1165` `pow-plus_binary64_1164` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow1_binary64_1159` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-mult_binary64_1131` `cube-div_binary64_1130` `cube-prod_binary64_1129` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `/-rgt-identity_binary64_1092` `-rgt-identity_binary64_1091` `-lft-identity_binary64_1090` `remove-double-neg_binary64_1089` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-rgt-identity_binary64_1086` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `*-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-squares_binary64_1070` `swap-sqr_binary64_1068` `cancel-sign-sub_binary64_1066` `distribute-frac-neg_binary64_1064` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `count-2_binary64_1049` `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

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	44	37
2	105	37
3	238	37
4	834	37
5	5217	37

prune7.0ms (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

60.3b

Counts

2 → 1

Compiler

Compiled 48 to 38 computations (20.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
2.3b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
3.0b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
4.3b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite195.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

60.3b

Rules

33×	`add-sqr-sqrt_binary64_1123`
26×	`*-un-lft-identity_binary64_1101`
15×	`cancel-sign-sub-inv_binary64_1067`
11×	`add-cube-cbrt_binary64_1136`
10×	`add-log-exp_binary64_1140` `difference-of-squares_binary64_1070`
9×	`flip3--_binary64_1105` `flip--_binary64_1076`
7×	`associate-l_binary64_1042` `associate-r_binary64_1041`
6×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
5×	`sub-neg_binary64_1094` `difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053`
4×	`frac-times_binary64_1111` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
3×	`diff-log_binary64_1193`
2×	`associate-l/_binary64_1044` `associate-r/_binary64_1043`
1×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032`

Counts

4 → 96

Calls

4 calls:

12.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
5.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
5.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)
4.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 3325 to 1407 computations (57.7% saved)

series683.0ms (4.4%)

Error

47.8b

Counts

4 → 51

Calls

4 calls:

336.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
108.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
78.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)
75.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

Compiler

Compiled 4263 to 2752 computations (35.4% saved)

simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

568×	`distribute-rgt-in_binary64_1051`
522×	`distribute-lft-in_binary64_1050`
288×	`cancel-sign-sub-inv_binary64_1067`
267×	`associate-r_binary64_1041`
225×	`unswap-sqr_binary64_1069`
221×	`associate-l_binary64_1042`
151×	`*-commutative_binary64_1032`
130×	`sub-neg_binary64_1094`
105×	`distribute-rgt-out_binary64_1054`
101×	`+-commutative_binary64_1031`
72×	`distribute-rgt-neg-in_binary64_1059`
71×	`associate-+r+_binary64_1033`
61×	`distribute-lft-neg-in_binary64_1058`
59×	`sqr-pow_binary64_1073`
53×	`associate-+l+_binary64_1034`
46×	`distribute-neg-in_binary64_1062`
43×	`associate--l+_binary64_1038`
41×	`unsub-neg_binary64_1095` `associate--r+_binary64_1037`
36×	`exp-prod_binary64_1153`
32×	`neg-sub0_binary64_1096`
31×	`neg-mul-1_binary64_1097`
26×	`*-rgt-identity_binary64_1091`
25×	`mul-1-neg_binary64_1093`
24×	`*-lft-identity_binary64_1090`
18×	`distribute-lft-neg-out_binary64_1060`
17×	`prod-exp_binary64_1150` `cube-prod_binary64_1129`
15×	`distribute-lft-out_binary64_1052`
14×	`distribute-rgt-out--_binary64_1055`
13×	`distribute-rgt1-in_binary64_1057`
12×	`distribute-rgt-neg-out_binary64_1061`
11×	`exp-sum_binary64_1147` `pow-sqr_binary64_1074`
10×	`swap-sqr_binary64_1068`
9×	`distribute-lft1-in_binary64_1056`
7×	`log-prod_binary64_1187` `difference-of-sqr--1_binary64_1072`
6×	`unpow3_binary64_1167` `cube-mult_binary64_1131` `difference-of-sqr-1_binary64_1071`
4×	`cube-unmult_binary64_1138` `rem-sqrt-square_binary64_1114` `distribute-lft-out--_binary64_1053`
3×	`unpow2_binary64_1166` `unpow1/2_binary64_1165` `unpow1_binary64_1159` `div-exp_binary64_1152` `count-2_binary64_1049`
2×	`associate-+r-_binary64_1035`
1×	`1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-3cbrt-lft_binary64_1126` `div-sub_binary64_1106`
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` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `pow-plus_binary64_1164` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `rec-exp_binary64_1151` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-div_binary64_1130` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-square-sqrt_binary64_1113` `times-frac_binary64_1107` `/-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_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `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` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `associate-l/_binary64_1044` `associate-*r/_binary64_1043` `associate--r-_binary64_1040` `associate--l-_binary64_1039` `associate-+l-_binary64_1036`

Counts

147 → 130

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	3471
1	587	3262
2	2174	3123
3	5056	3123

prune198.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	124	6	130
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	6	131

Error

47.7b

Counts

131 → 6

Compiler

Compiled 4407 to 1926 computations (56.3% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
3.3b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 eps (+.f64 a (.f64 (.f64 1/2 (.f64 a a)) eps))) (-.f64 (exp.f64 (.f64 b eps)) 1)))
4.3b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
5.8b	(.f64 (.f64 1/2 (*.f64 a a)) eps)

rewrite235.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

47.6b

Rules

34×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
15×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `add-sqr-sqrt_binary64_1123`
13×	`pow1_binary64_1162` `*-un-lft-identity_binary64_1101`
10×	`associate-*r/_binary64_1043`
8×	`add-log-exp_binary64_1140` `associate-/r/_binary64_1047`
7×	`add-cube-cbrt_binary64_1136`
6×	`pow-prod-down_binary64_1172` `flip3--_binary64_1105` `flip--_binary64_1076` `cancel-sign-sub-inv_binary64_1067` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
4×	`difference-of-squares_binary64_1070` `frac-times_binary64_1111`
3×	`associate-r_binary64_1041` `flip3-+_binary64_1104` `flip-+_binary64_1075`
2×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053` `associate-/l/_binary64_1048` `associate-*l/_binary64_1044`
1×	`associate-l_binary64_1042` `-commutative_binary64_1032` `frac-2neg_binary64_1112` `times-frac_binary64_1107` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-/r*_binary64_1045`

Counts

4 → 92

Calls

4 calls:

17.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 eps (+.f64 a (.f64 (.f64 1/2 (.f64 a a)) eps))) (-.f64 (exp.f64 (.f64 b eps)) 1)))
8.0ms	(.f64 (.f64 1/2 (*.f64 a a)) eps)
5.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
4.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

Compiler

Compiled 3999 to 1763 computations (55.9% saved)

series1.6s (10.4%)

Error

0.3b

Counts

4 → 43

Calls

4 calls:

960.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 eps (+.f64 a (.f64 (.f64 1/2 (.f64 a a)) eps))) (-.f64 (exp.f64 (.f64 b eps)) 1)))
153.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
125.0ms	(.f64 (.f64 1/2 (*.f64 a a)) eps)
80.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

Compiler

Compiled 5007 to 3220 computations (35.7% saved)

simplify117.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

413×	`associate-l_binary64_1042`
409×	`times-frac_binary64_1107`
376×	`associate-r_binary64_1041`
245×	`unswap-sqr_binary64_1069`
223×	`associate-/l*_binary64_1046`
213×	`associate-/r*_binary64_1045`
212×	`*-commutative_binary64_1032`
123×	`+-commutative_binary64_1031`
115×	`distribute-rgt-in_binary64_1051`
113×	`distribute-lft-in_binary64_1050`
97×	`associate-+r+_binary64_1033`
91×	`sub-neg_binary64_1094`
87×	`div-sub_binary64_1106`
71×	`sqr-pow_binary64_1073` `associate-+l+_binary64_1034`
61×	`log-prod_binary64_1187` `exp-prod_binary64_1153`
58×	`cube-prod_binary64_1129`
49×	`associate-*l/_binary64_1044`
42×	`associate-*r/_binary64_1043`
36×	`neg-mul-1_binary64_1097`
35×	`neg-sub0_binary64_1096`
26×	`log-div_binary64_1188`
25×	`*-lft-identity_binary64_1090` `associate-/r/_binary64_1047`
24×	`associate--l+_binary64_1038`
22×	`swap-sqr_binary64_1068`
18×	`unsub-neg_binary64_1095`
17×	`*-rgt-identity_binary64_1091` `distribute-rgt-neg-in_binary64_1059` `associate--r+_binary64_1037`
15×	`mul-1-neg_binary64_1093` `distribute-lft-neg-in_binary64_1058`
13×	`cancel-sign-sub-inv_binary64_1067`
11×	`distribute-rgt-out_binary64_1054`
10×	`pow-sqr_binary64_1074` `distribute-neg-in_binary64_1062`
9×	`unpow3_binary64_1167` `cube-unmult_binary64_1138` `cube-div_binary64_1130`
8×	`exp-sum_binary64_1147` `cube-mult_binary64_1131`
6×	`unpow1/2_binary64_1165` `prod-exp_binary64_1150` `difference-of-sqr--1_binary64_1072` `associate-/l/_binary64_1048`
5×	`/-rgt-identity_binary64_1092`
4×	`unpow2_binary64_1166` `pow-plus_binary64_1164` `unpow1_binary64_1159` `rem-sqrt-square_binary64_1114` `*-inverses_binary64_1081` `difference-of-sqr-1_binary64_1071` `distribute-rgt1-in_binary64_1057`
3×	`log-pow_binary64_1190` `div-exp_binary64_1152` `distribute-lft-out_binary64_1052` `count-2_binary64_1049`
2×	`log-rec_binary64_1189` `distribute-lft-neg-out_binary64_1060`
1×	`rec-exp_binary64_1151` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-3cbrt-lft_binary64_1126` `difference-of-squares_binary64_1070` `distribute-rgt-neg-out_binary64_1061`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-square-sqrt_binary64_1113` `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` `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` `distribute-rgt-out--_binary64_1055` `distribute-lft-out--_binary64_1053` `associate--r-_binary64_1040` `associate--l-_binary64_1039` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035`

Counts

135 → 113

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	4402
1	909	3541
2	4057	3441
3	5050	3441

prune191.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	114	5	119

Error

4.2b

Counts

119 → 5

Compiler

Compiled 4235 to 1855 computations (56.2% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 eps (*.f64 eps b)) 1/12)
5.4b	(/.f64 (.f64 (.f64 a a) (*.f64 eps eps)) b)
6.3b	(.f64 a (.f64 eps eps))
13.2b	(.f64 (.f64 a a) (*.f64 eps eps))

rewrite212.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

48×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
46×	`pow1_binary64_1162`
25×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
23×	`pow-prod-down_binary64_1172`
9×	`add-sqr-sqrt_binary64_1123`
8×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
5×	`associate-l_binary64_1042` `associate-r_binary64_1041` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
4×	`pow-prod-up_binary64_1171` `pow-plus_binary64_1164` `add-log-exp_binary64_1140`
3×	`-commutative_binary64_1032` `times-frac_binary64_1107` `associate-/r_binary64_1045`
2×	`pow2_binary64_1182` `pow-sqr_binary64_1074` `unswap-sqr_binary64_1069`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l*_binary64_1046`

Counts

4 → 96

Calls

4 calls:

11.0ms	(/.f64 (.f64 (.f64 a a) (*.f64 eps eps)) b)
9.0ms	(.f64 (.f64 a a) (*.f64 eps eps))
7.0ms	(.f64 (.f64 eps (*.f64 eps b)) 1/12)
6.0ms	(.f64 a (.f64 eps eps))

Compiler

Compiled 3962 to 1658 computations (58.2% saved)

series600.0ms (3.9%)

Error

4.2b

Counts

4 → 27

Calls

4 calls:

231.0ms	(/.f64 (.f64 (.f64 a a) (*.f64 eps eps)) b)
120.0ms	(.f64 (.f64 a a) (*.f64 eps eps))
118.0ms	(.f64 (.f64 eps (*.f64 eps b)) 1/12)
88.0ms	(.f64 a (.f64 eps eps))

Compiler

Compiled 2835 to 1936 computations (31.7% saved)

simplify127.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

519×	`*-commutative_binary64_1032`
497×	`associate-*l/_binary64_1044`
396×	`associate-/r*_binary64_1045`
374×	`associate-/l/_binary64_1048`
306×	`associate-*r/_binary64_1043`
284×	`associate-l_binary64_1042`
226×	`associate-/r/_binary64_1047`
221×	`associate-r_binary64_1041`
131×	`log-prod_binary64_1187`
126×	`sqr-pow_binary64_1073`
118×	`log-div_binary64_1188`
114×	`cube-prod_binary64_1129`
112×	`cube-div_binary64_1130`
108×	`exp-prod_binary64_1153`
95×	`unswap-sqr_binary64_1069`
92×	`associate-/l*_binary64_1046`
79×	`associate--l-_binary64_1039`
73×	`swap-sqr_binary64_1068`
71×	`sub-neg_binary64_1094`
69×	`times-frac_binary64_1107`
55×	`unpow3_binary64_1167`
52×	`cube-mult_binary64_1131`
36×	`cancel-sign-sub-inv_binary64_1067` `distribute-rgt-neg-in_binary64_1059`
35×	`associate-+l+_binary64_1034`
34×	`*-rgt-identity_binary64_1091`
33×	`distribute-lft-neg-in_binary64_1058` `+-commutative_binary64_1031`
28×	`associate-+r+_binary64_1033`
26×	`rem-sqrt-square_binary64_1114` `pow-sqr_binary64_1074`
25×	`associate--r-_binary64_1040` `associate--l+_binary64_1038`
23×	`div-sub_binary64_1106` `*-lft-identity_binary64_1090`
18×	`neg-mul-1_binary64_1097` `neg-sub0_binary64_1096`
15×	`distribute-neg-frac_binary64_1065`
13×	`cube-unmult_binary64_1138`
11×	`associate-+l-_binary64_1036`
10×	`associate-+r-_binary64_1035`
9×	`/-rgt-identity_binary64_1092`
8×	`log-pow_binary64_1190` `log-rec_binary64_1189` `pow-plus_binary64_1164` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
6×	`unsub-neg_binary64_1095`
5×	`unpow1/2_binary64_1165` `+-rgt-identity_binary64_1086` `distribute-lft-out_binary64_1052` `count-2_binary64_1049`
2×	`unpow2_binary64_1166` `unpow1_binary64_1159` `remove-double-neg_binary64_1089`
1×	`1-exp_binary64_1145` `exp-1-e_binary64_1144` `sub0-neg_binary64_1088` `div0_binary64_1082` `distribute-frac-neg_binary64_1064` `distribute-neg-in_binary64_1062` `distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `exp-sum_binary64_1147` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-square-sqrt_binary64_1113` `mul-1-neg_binary64_1093` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `*-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `difference-of-squares_binary64_1070` `cancel-sign-sub_binary64_1066` `distribute-neg-out_binary64_1063` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-rgt-out--_binary64_1055` `distribute-rgt-out_binary64_1054` `distribute-lft-out--_binary64_1053` `associate--r+_binary64_1037`

Counts

123 → 82

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	1777
1	342	1376
2	1445	1345
3	4028	1310
4	4799	1310
5	4974	1310
6	4958	1310

prune143.0ms (0.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	81	6	87

Error

0.9b

Counts

87 → 6

Compiler

Compiled 3160 to 1505 computations (52.4% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 eps (*.f64 eps b)) 1/12)
5.4b	(/.f64 (cbrt.f64 (pow.f64 (*.f64 a eps) 6)) b)
6.3b	(.f64 a (.f64 eps eps))
15.8b	(cbrt.f64 (pow.f64 (*.f64 a eps) 6))

rewrite227.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

25×	`cbrt-prod_binary64_1132` `add-sqr-sqrt_binary64_1123`
24×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101` `times-frac_binary64_1107`
20×	`add-exp-log_binary64_1139`
19×	`add-cbrt-cube_binary64_1137`
18×	`pow1_binary64_1162`
9×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
8×	`associate-/l*_binary64_1046`
5×	`unpow-prod-down_binary64_1180` `sqr-pow_binary64_1073`
4×	`add-log-exp_binary64_1140` `associate-l_binary64_1042` `associate-r_binary64_1041`
3×	`associate-/r*_binary64_1045`
2×	`*-commutative_binary64_1032`
1×	`pow1/3_binary64_1183` `unswap-sqr_binary64_1069` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098`

Counts

4 → 100

Calls

4 calls:

7.0ms	(.f64 (.f64 eps (*.f64 eps b)) 1/12)
6.0ms	(.f64 a (.f64 eps eps))
5.0ms	(/.f64 (cbrt.f64 (pow.f64 (*.f64 a eps) 6)) b)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 a eps) 6))

Compiler

Compiled 4195 to 2296 computations (45.3% saved)

series608.0ms (3.9%)

Error

0.9b

Counts

4 → 27

Calls

4 calls:

241.0ms	(/.f64 (cbrt.f64 (pow.f64 (*.f64 a eps) 6)) b)
118.0ms	(cbrt.f64 (pow.f64 (*.f64 a eps) 6))
116.0ms	(.f64 (.f64 eps (*.f64 eps b)) 1/12)
90.0ms	(.f64 a (.f64 eps eps))

Compiler

Compiled 2799 to 2018 computations (27.9% saved)

simplify116.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

655×	`associate-*l/_binary64_1044`
607×	`associate-/r/_binary64_1047`
548×	`unswap-sqr_binary64_1069`
382×	`*-commutative_binary64_1032`
224×	`associate-l_binary64_1042`
209×	`associate-/l*_binary64_1046`
168×	`associate-r_binary64_1041`
119×	`times-frac_binary64_1107`
101×	`sqr-pow_binary64_1073`
94×	`associate-/r*_binary64_1045`
84×	`swap-sqr_binary64_1068`
72×	`associate-/l/_binary64_1048`
68×	`exp-prod_binary64_1153`
60×	`log-prod_binary64_1187`
54×	`cube-prod_binary64_1129`
51×	`log-div_binary64_1188`
36×	`associate-*r/_binary64_1043`
26×	`cube-div_binary64_1130`
19×	`+-commutative_binary64_1031`
17×	`sub-neg_binary64_1094` `associate-+r+_binary64_1033`
16×	`pow-sqr_binary64_1074` `associate-+l+_binary64_1034`
14×	`cube-unmult_binary64_1138` `-rgt-identity_binary64_1091` `-lft-identity_binary64_1090`
11×	`unpow3_binary64_1167` `/-rgt-identity_binary64_1092`
7×	`pow-plus_binary64_1164` `cube-mult_binary64_1131`
6×	`log-pow_binary64_1190` `log-rec_binary64_1189`
5×	`rem-sqrt-square_binary64_1114` `neg-mul-1_binary64_1097`
4×	`neg-sub0_binary64_1096` `count-2_binary64_1049`
3×	`unpow1/2_binary64_1165` `rem-cbrt-cube_binary64_1125` `cancel-sign-sub-inv_binary64_1067` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
2×	`unpow2_binary64_1166` `unpow1_binary64_1159` `distribute-lft-out_binary64_1052` `associate--l-_binary64_1039` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035`
1×	`1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-3cbrt-lft_binary64_1126` `div-sub_binary64_1106` `mul-1-neg_binary64_1093` `sub0-neg_binary64_1088` `+-rgt-identity_binary64_1086` `distribute-neg-frac_binary64_1065` `distribute-rgt-neg-in_binary64_1059` `distribute-lft-neg-in_binary64_1058`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `exp-sum_binary64_1147` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-square-sqrt_binary64_1113` `unsub-neg_binary64_1095` `remove-double-neg_binary64_1089` `--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` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `difference-of-squares_binary64_1070` `cancel-sign-sub_binary64_1066` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-neg-in_binary64_1062` `distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-rgt-out--_binary64_1055` `distribute-rgt-out_binary64_1054` `distribute-lft-out--_binary64_1053` `associate--r-_binary64_1040` `associate--l+_binary64_1038` `associate--r+_binary64_1037`

Counts

127 → 79

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	2036
1	339	1865
2	1016	1855
3	2207	1782
4	4957	1782
5	4965	1782

prune135.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	79	6	85

Error

0.9b

Counts

85 → 6

Compiler

Compiled 2925 to 1564 computations (46.5% saved)

regimes703.0ms (4.6%)

Accuracy

Total 2.2b remaining (96.3%)

Threshold costs 0b (0%)

Compiler

Compiled 6642 to 4856 computations (26.9% saved)

bsearch4.0ms (0%)

Compiler: Compiled 24 to 19 computations (20.8% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64_1032`
9×	`+-commutative_binary64_1031`
6×	`sub-neg_binary64_1094`
3×	`unsub-neg_binary64_1095`
2×	`neg-mul-1_binary64_1097` `neg-sub0_binary64_1096` `*-rgt-identity_binary64_1091`
1×	`1-exp_binary64_1145` `distribute-rgt-neg-out_binary64_1061`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `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` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `*-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-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	57	239
1	74	239
2	80	239
3	82	239
4	85	239
5	84	239
6	82	239

Compiler

Compiled 312 to 156 computations (50% saved)

end0.0ms (0%)

sample6.9s (44.4%)

Algorithm

1×

intervals

Results

3.0s	4087×	body	2048	valid
914.0ms	2413×	body	1024	valid
199.0ms	9718×	pre	128	true
183.0ms	612×	body	1024	overflowed
173.0ms	366×	body	2048	overflowed
163.0ms	714×	body	512	valid
55.0ms	289×	body	512	overflowed
36.0ms	243×	body	256	valid
35.0ms	531×	body	128	valid
21.0ms	164×	body	256	overflowed
19.0ms	283×	body	128	overflowed
12.0ms	12×	body	4096	valid
2.0ms	4×	body	2048	invalid

Compiler

Compiled 1841 to 1311 computations (28.8% saved)

Details

analyze2.1s (13.3%)

sample177.0ms (1.2%)

simplify26.0ms (0.2%)

prune7.0ms (0%)

localize16.0ms (0.1%)

rewrite195.0ms (1.3%)

series683.0ms (4.4%)

simplify99.0ms (0.6%)

prune198.0ms (1.3%)

localize19.0ms (0.1%)

rewrite235.0ms (1.5%)

series1.6s (10.4%)

simplify117.0ms (0.8%)

prune191.0ms (1.2%)

localize23.0ms (0.2%)

rewrite212.0ms (1.4%)

series600.0ms (3.9%)

simplify127.0ms (0.8%)

prune143.0ms (0.9%)

localize21.0ms (0.1%)

rewrite227.0ms (1.5%)

series608.0ms (3.9%)

simplify116.0ms (0.7%)

prune135.0ms (0.9%)

regimes703.0ms (4.6%)

bsearch4.0ms (0%)

simplify26.0ms (0.2%)

end0.0ms (0%)

sample6.9s (44.4%)

Profiling