Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample21.0ms (0.1%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify1.8s (9.2%)

Algorithm

1×	egg-herbie

Rules

238×	`div-sub_binary64_1106`
119×	`exp-prod_binary64_1153`
102×	`sub-neg_binary64_1094`
63×	`cancel-sign-sub-inv_binary64_1067`
62×	`associate-/l*_binary64_1046`
56×	`times-frac_binary64_1107`
50×	`associate-/l/_binary64_1048`
37×	`associate-r_binary64_1041`
36×	`neg-mul-1_binary64_1097`
34×	`unsub-neg_binary64_1095`
33×	`distribute-rgt-in_binary64_1051` `associate-/r*_binary64_1045`
31×	`associate-/r/_binary64_1047`
28×	`distribute-rgt-out_binary64_1054`
27×	`neg-sub0_binary64_1096`
18×	`associate--r+_binary64_1037`
17×	`distribute-rgt-out--_binary64_1055`
16×	`distribute-neg-in_binary64_1062`
14×	`*-commutative_binary64_1032`
13×	`distribute-lft-in_binary64_1050` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035` `+-commutative_binary64_1031`
12×	`associate-*r/_binary64_1043`
11×	`distribute-lft-neg-in_binary64_1058` `associate-+l+_binary64_1034`
10×	`distribute-frac-neg_binary64_1064`
9×	`associate-*l/_binary64_1044`
8×	`sub0-neg_binary64_1088` `distribute-neg-frac_binary64_1065`
7×	`mul-1-neg_binary64_1093` `distribute-rgt-neg-in_binary64_1059` `associate--r-_binary64_1040` `associate-+r+_binary64_1033`
6×	`associate-l_binary64_1042`
5×	`sqr-neg_binary64_1115` `/-rgt-identity_binary64_1092` `mul0-lft_binary64_1083` `div0_binary64_1082`
4×	`cube-unmult_binary64_1138` `remove-double-neg_binary64_1089` `+-rgt-identity_binary64_1086` `distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060` `distribute-rgt1-in_binary64_1057`
3×	`mul0-rgt_binary64_1084` `*-inverses_binary64_1081` `distribute-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052`
2×	`*-lft-identity_binary64_1090` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `swap-sqr_binary64_1068` `distribute-lft1-in_binary64_1056` `count-2_binary64_1049` `associate--l-_binary64_1039` `associate--l+_binary64_1038`
1×	`exp-lft-sqr_binary64_1156` `exp-diff_binary64_1149` `1-exp_binary64_1145` `*-rgt-identity_binary64_1091`
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-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `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-mult_binary64_1131` `cube-div_binary64_1130` `cube-prod_binary64_1129` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `rem-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `pow-sqr_binary64_1074` `sqr-pow_binary64_1073` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `difference-of-squares_binary64_1070` `unswap-sqr_binary64_1069` `cancel-sign-sub_binary64_1066` `distribute-neg-out_binary64_1063`

Counts

1 → 1

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	21	10
3	35	10
4	61	10
5	107	10
6	247	10
7	875	1
8	17	1

prune7.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

62.0b

Counts

2 → 2

Compiler

Compiled 9 to 14 computations (-55.6% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

62.0b

(/.f64 (-.f64 x lo) (-.f64 hi lo))

rewrite52.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

62.0b

Rules

37×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
25×	`times-frac_binary64_1107`
13×	`add-cube-cbrt_binary64_1136`
12×	`difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053`
5×	`associate-/l_binary64_1046` `associate-/r_binary64_1045`
3×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
2×	`flip3--_binary64_1105` `associate-/l/_binary64_1048` `flip--_binary64_1076` `associate-/r/_binary64_1047`
1×	`pow1_binary64_1162` `div-exp_binary64_1152` `add-log-exp_binary64_1140` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `div-sub_binary64_1106` `clear-num_binary64_1100` `div-inv_binary64_1098`

Counts

1 → 52

Calls

1 calls:

8.0ms

(/.f64 (-.f64 x lo) (-.f64 hi lo))

Compiler

Compiled 844 to 193 computations (77.1% saved)

series99.0ms (0.5%)

Error

51.8b

Counts

1 → 10

Calls

1 calls:

87.0ms

(/.f64 (-.f64 x lo) (-.f64 hi lo))

Compiler

Compiled 255 to 188 computations (26.3% saved)

simplify153.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

382×	`distribute-rgt-in_binary64_1051`
362×	`distribute-lft-in_binary64_1050`
310×	`div-sub_binary64_1106`
286×	`*-commutative_binary64_1032`
149×	`associate-+r+_binary64_1033`
148×	`associate-+l+_binary64_1034`
113×	`distribute-rgt-neg-out_binary64_1061` `associate--l-_binary64_1039`
112×	`associate-/l*_binary64_1046`
105×	`sub-neg_binary64_1094`
99×	`times-frac_binary64_1107`
95×	`associate-*r/_binary64_1043`
92×	`associate-/l/_binary64_1048`
86×	`cancel-sign-sub-inv_binary64_1067`
84×	`associate-/r*_binary64_1045`
83×	`associate-l_binary64_1042`
79×	`distribute-lft-neg-out_binary64_1060`
77×	`associate-+l-_binary64_1036`
72×	`+-commutative_binary64_1031`
71×	`associate-+r-_binary64_1035`
70×	`log-prod_binary64_1187` `associate-r_binary64_1041`
67×	`associate-/r/_binary64_1047`
63×	`unsub-neg_binary64_1095`
58×	`associate-*l/_binary64_1044`
57×	`neg-sub0_binary64_1096`
53×	`distribute-neg-frac_binary64_1065`
49×	`distribute-frac-neg_binary64_1064`
44×	`neg-mul-1_binary64_1097` `distribute-rgt-out_binary64_1054`
40×	`distribute-lft-neg-in_binary64_1058`
38×	`log-div_binary64_1188` `distribute-rgt-neg-in_binary64_1059`
37×	`exp-diff_binary64_1149`
35×	`cube-div_binary64_1130`
28×	`sqr-pow_binary64_1073`
23×	`exp-sum_binary64_1147` `unswap-sqr_binary64_1069`
20×	`cube-prod_binary64_1129` `associate--r-_binary64_1040`
18×	`unpow3_binary64_1167` `exp-prod_binary64_1153` `pow-sqr_binary64_1074` `distribute-neg-out_binary64_1063` `distribute-rgt-out--_binary64_1055`
17×	`*-rgt-identity_binary64_1091` `difference-of-squares_binary64_1070` `swap-sqr_binary64_1068`
16×	`cube-mult_binary64_1131` `distribute-lft-out_binary64_1052`
15×	`pow-plus_binary64_1164`
14×	`/-rgt-identity_binary64_1092` `associate--r+_binary64_1037`
12×	`*-lft-identity_binary64_1090`
11×	`cube-unmult_binary64_1138` `+-rgt-identity_binary64_1086`
10×	`mul-1-neg_binary64_1093`
9×	`div-exp_binary64_1152` `prod-exp_binary64_1150` `sub0-neg_binary64_1088`
8×	`distribute-neg-in_binary64_1062`
6×	`distribute-rgt1-in_binary64_1057`
5×	`exp-to-pow_binary64_1163`
4×	`log-pow_binary64_1190` `distribute-lft-out--_binary64_1053`
3×	`log-rec_binary64_1189` `rec-exp_binary64_1151` `div0_binary64_1082` `associate--l+_binary64_1038`
2×	`exp-neg_binary64_1148` `rem-exp-log_binary64_1141` `--rgt-identity_binary64_1087` `*-inverses_binary64_1081` `count-2_binary64_1049`
1×	`unpow2_binary64_1166` `pow-base-1_binary64_1161` `unpow1_binary64_1159` `exp-lft-sqr_binary64_1156` `exp-sqrt_binary64_1154` `1-exp_binary64_1145` `rem-log-exp_binary64_1142` `cube-neg_binary64_1128` `sqr-neg_binary64_1115` `rem-sqrt-square_binary64_1114` `remove-double-neg_binary64_1089` `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` `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-1-e_binary64_1144` `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` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `+-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` `cancel-sign-sub_binary64_1066` `distribute-lft1-in_binary64_1056`

Counts

62 → 45

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	1103
1	261	1061
2	643	1055
3	1768	1055
4	4757	1055

prune42.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	44	3	47

Error

51.8b

Counts

47 → 3

Compiler

Compiled 715 to 159 computations (77.8% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 -1 (/.f64 x hi))
0.0b	(+.f64 (/.f64 x hi) (*.f64 (/.f64 lo hi) (+.f64 -1 (/.f64 x hi))))
0.0b	(*.f64 (/.f64 lo hi) (+.f64 -1 (/.f64 x hi)))

rewrite112.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

51.8b

Rules

16×	`add-sqr-sqrt_binary64_1123`
15×	`*-un-lft-identity_binary64_1101`
13×	`associate-l_binary64_1042`
11×	`add-cube-cbrt_binary64_1136`
10×	`times-frac_binary64_1107`
8×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
7×	`add-log-exp_binary64_1140`
6×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
5×	`pow1_binary64_1162` `frac-add_binary64_1109`
4×	`frac-times_binary64_1111` `associate-r/_binary64_1043` `associate-r*_binary64_1041`
2×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `associate-*l/_binary64_1044` `distribute-lft-out_binary64_1052` `sum-log_binary64_1192` `associate-+r+_binary64_1033` `+-commutative_binary64_1031`
1×	`pow-prod-down_binary64_1172` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `div-inv_binary64_1098` `*-commutative_binary64_1032`

Counts

3 → 69

Calls

3 calls:

12.0ms	(*.f64 (/.f64 lo hi) (+.f64 -1 (/.f64 x hi)))
7.0ms	(+.f64 (/.f64 x hi) (*.f64 (/.f64 lo hi) (+.f64 -1 (/.f64 x hi))))
6.0ms	(+.f64 -1 (/.f64 x hi))

Compiler

Compiled 1628 to 653 computations (59.9% saved)

series593.0ms (3.1%)

Error

51.8b

Counts

3 → 37

Calls

3 calls:

259.0ms	(+.f64 (/.f64 x hi) (*.f64 (/.f64 lo hi) (+.f64 -1 (/.f64 x hi))))
215.0ms	(*.f64 (/.f64 lo hi) (+.f64 -1 (/.f64 x hi)))
93.0ms	(+.f64 -1 (/.f64 x hi))

Compiler

Compiled 1172 to 724 computations (38.2% saved)

simplify566.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

606×	`associate-*l/_binary64_1044`
587×	`distribute-rgt-in_binary64_1051`
551×	`distribute-lft-in_binary64_1050`
488×	`associate-*r/_binary64_1043`
322×	`associate-/l*_binary64_1046`
112×	`associate-l_binary64_1042`
108×	`*-commutative_binary64_1032`
106×	`distribute-lft-neg-out_binary64_1060`
103×	`associate-r_binary64_1041`
102×	`times-frac_binary64_1107`
100×	`distribute-rgt-neg-out_binary64_1061`
81×	`associate-/r*_binary64_1045`
66×	`cancel-sign-sub-inv_binary64_1067`
50×	`distribute-rgt-neg-in_binary64_1059`
45×	`neg-sub0_binary64_1096` `sub-neg_binary64_1094`
40×	`distribute-neg-frac_binary64_1065`
35×	`unsub-neg_binary64_1095`
33×	`sqr-pow_binary64_1073` `associate-/r/_binary64_1047`
30×	`mul-1-neg_binary64_1093`
29×	`distribute-lft-neg-in_binary64_1058` `+-commutative_binary64_1031`
28×	`exp-prod_binary64_1153` `distribute-rgt-out_binary64_1054`
26×	`distribute-neg-in_binary64_1062`
24×	`neg-mul-1_binary64_1097`
20×	`associate-/l/_binary64_1048`
16×	`cube-prod_binary64_1129`
15×	`*-rgt-identity_binary64_1091`
13×	`log-prod_binary64_1187` `div-sub_binary64_1106` `pow-sqr_binary64_1074`
12×	`*-lft-identity_binary64_1090` `swap-sqr_binary64_1068`
11×	`unswap-sqr_binary64_1069` `distribute-rgt-out--_binary64_1055`
10×	`exp-sum_binary64_1147`
9×	`unpow3_binary64_1167` `cube-div_binary64_1130`
8×	`distribute-neg-out_binary64_1063`
7×	`log-div_binary64_1188`
6×	`cube-mult_binary64_1131` `associate-+l+_binary64_1034`
5×	`distribute-lft-out_binary64_1052`
4×	`exp-diff_binary64_1149` `remove-double-neg_binary64_1089` `distribute-frac-neg_binary64_1064` `distribute-rgt1-in_binary64_1057` `associate-+r+_binary64_1033`
3×	`pow-plus_binary64_1164` `prod-exp_binary64_1150` `associate--l+_binary64_1038` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035`
2×	`cube-unmult_binary64_1138` `difference-of-squares_binary64_1070`
1×	`unpow2_binary64_1166` `pow-base-1_binary64_1161` `unpow1_binary64_1159` `exp-sqrt_binary64_1154` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-log-exp_binary64_1142` `cube-neg_binary64_1128` `sqr-neg_binary64_1115` `/-rgt-identity_binary64_1092` `*-inverses_binary64_1081` `distribute-lft1-in_binary64_1056` `associate--r+_binary64_1037`
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` `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-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `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-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `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-lft-out--_binary64_1053` `count-2_binary64_1049` `associate--r-_binary64_1040` `associate--l-_binary64_1039`

Counts

106 → 266

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	1801
1	510	1729
2	1652	1686

prune315.0ms (1.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	253	13	266
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	255	14	269

Error

51.8b

Counts

269 → 14

Compiler

Compiled 6768 to 2673 computations (60.5% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 x hi) 1)
0.0b	(+.f64 (/.f64 x hi) (/.f64 lo (/.f64 hi (-.f64 (/.f64 x hi) 1))))
0.0b	(/.f64 hi (-.f64 (/.f64 x hi) 1))
0.2b	(/.f64 lo (/.f64 hi (-.f64 (/.f64 x hi) 1)))

rewrite447.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

51.8b

Rules

311×	`times-frac_binary64_1107`
300×	`add-sqr-sqrt_binary64_1123`
187×	`*-un-lft-identity_binary64_1101`
113×	`add-cube-cbrt_binary64_1136`
68×	`difference-of-squares_binary64_1070`
46×	`associate-/r*_binary64_1045`
34×	`difference-of-sqr-1_binary64_1071`
17×	`distribute-lft-out--_binary64_1053`
11×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-/r/_binary64_1047`
8×	`add-log-exp_binary64_1140`
6×	`div-inv_binary64_1098` `flip3--_binary64_1105` `flip--_binary64_1076` `associate-/l*_binary64_1046`
4×	`pow1_binary64_1162` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
3×	`cancel-sign-sub-inv_binary64_1067`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `distribute-lft-out_binary64_1052`
1×	`sum-log_binary64_1192` `frac-add_binary64_1109` `flip3-+_binary64_1104` `flip-+_binary64_1075` `+-commutative_binary64_1031` `diff-log_binary64_1193` `sub-neg_binary64_1094`

Counts

4 → 254

Calls

4 calls:

78.0ms	(+.f64 (/.f64 x hi) (/.f64 lo (/.f64 hi (-.f64 (/.f64 x hi) 1))))
15.0ms	(/.f64 lo (/.f64 hi (-.f64 (/.f64 x hi) 1)))
9.0ms	(/.f64 hi (-.f64 (/.f64 x hi) 1))
8.0ms	(-.f64 (/.f64 x hi) 1)

Compiler

Compiled 6642 to 2744 computations (58.7% saved)

series609.0ms (3.2%)

Error

51.8b

Counts

4 → 46

Calls

4 calls:

222.0ms	(/.f64 lo (/.f64 hi (-.f64 (/.f64 x hi) 1)))
219.0ms	(+.f64 (/.f64 x hi) (/.f64 lo (/.f64 hi (-.f64 (/.f64 x hi) 1))))
88.0ms	(-.f64 (/.f64 x hi) 1)
55.0ms	(/.f64 hi (-.f64 (/.f64 x hi) 1))

Compiler

Compiled 1457 to 921 computations (36.8% saved)

simplify959.0ms (5%)

Algorithm

1×	egg-herbie

Rules

577×	`distribute-rgt-in_binary64_1051`
556×	`distribute-lft-in_binary64_1050`
285×	`associate-/r/_binary64_1047`
283×	`associate-/l/_binary64_1048`
246×	`associate-/l*_binary64_1046`
211×	`associate-*l/_binary64_1044`
208×	`div-sub_binary64_1106`
192×	`*-commutative_binary64_1032`
103×	`associate-*r/_binary64_1043`
71×	`*-rgt-identity_binary64_1091`
62×	`times-frac_binary64_1107` `sub-neg_binary64_1094`
57×	`+-commutative_binary64_1031`
56×	`/-rgt-identity_binary64_1092`
52×	`associate-l_binary64_1042`
51×	`cancel-sign-sub-inv_binary64_1067`
49×	`exp-sum_binary64_1147`
47×	`exp-prod_binary64_1153`
46×	`distribute-lft-neg-out_binary64_1060` `associate-r_binary64_1041`
44×	`distribute-neg-frac_binary64_1065` `distribute-rgt-neg-in_binary64_1059`
39×	`associate-/r*_binary64_1045`
38×	`unswap-sqr_binary64_1069` `associate-+r-_binary64_1035`
34×	`log-prod_binary64_1187` `sqr-pow_binary64_1073` `distribute-rgt-neg-out_binary64_1061`
33×	`distribute-lft-neg-in_binary64_1058`
31×	`neg-sub0_binary64_1096`
29×	`cube-prod_binary64_1129`
28×	`neg-mul-1_binary64_1097` `associate-+l-_binary64_1036`
27×	`associate-+l+_binary64_1034`
26×	`cube-div_binary64_1130`
23×	`distribute-rgt-out_binary64_1054`
22×	`exp-diff_binary64_1149`
21×	`log-div_binary64_1188`
20×	`pow-plus_binary64_1164`
18×	`mul-1-neg_binary64_1093` `*-lft-identity_binary64_1090`
17×	`log-pow_binary64_1190` `div-exp_binary64_1152` `prod-exp_binary64_1150` `unsub-neg_binary64_1095` `associate-+r+_binary64_1033`
16×	`pow-sqr_binary64_1074` `distribute-neg-in_binary64_1062`
14×	`distribute-rgt-out--_binary64_1055` `associate--r+_binary64_1037`
13×	`unpow3_binary64_1167`
12×	`swap-sqr_binary64_1068`
10×	`cube-mult_binary64_1131`
8×	`associate--r-_binary64_1040`
7×	`pow-base-1_binary64_1161` `remove-double-div_binary64_1077`
6×	`+-rgt-identity_binary64_1086`
5×	`cube-unmult_binary64_1138` `rem-sqrt-square_binary64_1114` `difference-of-squares_binary64_1070` `distribute-rgt1-in_binary64_1057` `associate--l+_binary64_1038`
4×	`rec-exp_binary64_1151`
3×	`exp-neg_binary64_1148` `distribute-frac-neg_binary64_1064` `associate--l-_binary64_1039`
2×	`log-rec_binary64_1189` `exp-sqrt_binary64_1154` `div0_binary64_1082` `difference-of-sqr-1_binary64_1071` `distribute-lft1-in_binary64_1056` `distribute-lft-out_binary64_1052`
1×	`unpow2_binary64_1166` `unpow1_binary64_1159` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-log-exp_binary64_1142` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `sqr-neg_binary64_1115` `rem-square-sqrt_binary64_1113` `remove-double-neg_binary64_1089` `sub0-neg_binary64_1088` `*-inverses_binary64_1081` `distribute-lft-out--_binary64_1053` `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` `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` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-exp-log_binary64_1141` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `difference-of-sqr--1_binary64_1072` `cancel-sign-sub_binary64_1066` `distribute-neg-out_binary64_1063`

Counts

300 → 1162

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	7237
1	802	7072
2	3086	7055
3	4762	7055

prune1.9s (9.7%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	1154	8	1162
Fresh	3	10	13
Picked	1	0	1
Done	0	0	0
Total	1158	18	1176

Error

51.8b

Counts

1176 → 18

Compiler

Compiled 32685 to 11481 computations (64.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (+.f64 (/.f64 x hi) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) 1))))
0.4b	(cbrt.f64 (+.f64 (/.f64 x hi) (/.f64 lo (/.f64 hi (-.f64 (/.f64 x hi) 1)))))
0.4b	(cbrt.f64 (+.f64 (/.f64 x hi) (/.f64 lo (/.f64 hi (-.f64 (/.f64 x hi) 1)))))
0.5b	(*.f64 (cbrt.f64 (+.f64 (/.f64 x hi) (/.f64 lo (/.f64 hi (-.f64 (/.f64 x hi) 1))))) (cbrt.f64 (+.f64 (/.f64 x hi) (/.f64 lo (/.f64 hi (-.f64 (/.f64 x hi) 1))))))

rewrite625.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

51.8b

Rules

57×	`*-un-lft-identity_binary64_1101`
41×	`cbrt-prod_binary64_1132`
37×	`cbrt-div_binary64_1133`
23×	`add-sqr-sqrt_binary64_1123`
15×	`add-cube-cbrt_binary64_1136` `frac-add_binary64_1109`
14×	`distribute-lft-out_binary64_1052`
12×	`times-frac_binary64_1107`
11×	`pow1_binary64_1162` `frac-times_binary64_1111` `flip3-+_binary64_1104` `flip-+_binary64_1075`
10×	`swap-sqr_binary64_1068`
9×	`pow1/3_binary64_1183`
8×	`associate-l_binary64_1042` `associate-r_binary64_1041`
6×	`add-exp-log_binary64_1139`
5×	`associate-*r/_binary64_1043`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069` `associate-*l/_binary64_1044`
2×	`pow-prod-down_binary64_1172` `pow-prod-up_binary64_1171` `pow-sqr_binary64_1074` `flip3--_binary64_1105` `flip--_binary64_1076`
1×	`pow2_binary64_1182` `pow-plus_binary64_1164` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `*-commutative_binary64_1032`

Counts

4 → 113

Calls

4 calls:

155.0ms	(*.f64 (cbrt.f64 (+.f64 (/.f64 x hi) (/.f64 lo (/.f64 hi (-.f64 (/.f64 x hi) 1))))) (cbrt.f64 (+.f64 (/.f64 x hi) (/.f64 lo (/.f64 hi (-.f64 (/.f64 x hi) 1))))))
75.0ms	(cbrt.f64 (+.f64 (/.f64 x hi) (/.f64 lo (/.f64 hi (-.f64 (/.f64 x hi) 1)))))
75.0ms	(cbrt.f64 (+.f64 (/.f64 x hi) (/.f64 lo (/.f64 hi (-.f64 (/.f64 x hi) 1)))))
9.0ms	(cbrt.f64 (+.f64 (/.f64 x hi) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) 1))))

Compiler

Compiled 7191 to 3308 computations (54% saved)

series1.5s (7.5%)

Error

51.8b

Counts

4 → 39

Calls

4 calls:

512.0ms	(*.f64 (cbrt.f64 (+.f64 (/.f64 x hi) (/.f64 lo (/.f64 hi (-.f64 (/.f64 x hi) 1))))) (cbrt.f64 (+.f64 (/.f64 x hi) (/.f64 lo (/.f64 hi (-.f64 (/.f64 x hi) 1))))))
296.0ms	(cbrt.f64 (+.f64 (/.f64 x hi) (*.f64 (/.f64 lo hi) (-.f64 (/.f64 x hi) 1))))
289.0ms	(cbrt.f64 (+.f64 (/.f64 x hi) (/.f64 lo (/.f64 hi (-.f64 (/.f64 x hi) 1)))))
286.0ms	(cbrt.f64 (+.f64 (/.f64 x hi) (/.f64 lo (/.f64 hi (-.f64 (/.f64 x hi) 1)))))

Compiler

Compiled 6600 to 4357 computations (34% saved)

simplify2.1s (10.7%)

Algorithm

1×	egg-herbie

Rules

593×	`times-frac_binary64_1107`
419×	`distribute-rgt-in_binary64_1051`
364×	`distribute-lft-in_binary64_1050`
315×	`associate-/l*_binary64_1046`
145×	`associate-l_binary64_1042`
129×	`associate-r_binary64_1041`
122×	`sqr-pow_binary64_1073` `associate-/r/_binary64_1047`
106×	`*-commutative_binary64_1032`
101×	`distribute-rgt-neg-in_binary64_1059`
99×	`cancel-sign-sub-inv_binary64_1067`
80×	`exp-prod_binary64_1153`
77×	`distribute-lft-neg-in_binary64_1058`
69×	`sub-neg_binary64_1094`
68×	`exp-sum_binary64_1147`
63×	`log-prod_binary64_1187`
59×	`distribute-neg-frac_binary64_1065`
57×	`distribute-lft-neg-out_binary64_1060`
50×	`associate-*l/_binary64_1044`
45×	`neg-mul-1_binary64_1097` `associate-/l/_binary64_1048`
44×	`associate-*r/_binary64_1043`
42×	`neg-sub0_binary64_1096` `pow-sqr_binary64_1074`
39×	`+-commutative_binary64_1031`
38×	`unswap-sqr_binary64_1069` `distribute-rgt-out_binary64_1054`
36×	`distribute-rgt-neg-out_binary64_1061`
28×	`*-rgt-identity_binary64_1091`
26×	`div-sub_binary64_1106`
25×	`associate-/r*_binary64_1045`
24×	`*-lft-identity_binary64_1090`
22×	`unsub-neg_binary64_1095`
20×	`log-pow_binary64_1190` `cube-prod_binary64_1129` `distribute-lft-out_binary64_1052`
18×	`unpow1/3_binary64_1168`
15×	`exp-diff_binary64_1149` `distribute-neg-in_binary64_1062`
13×	`log-div_binary64_1188` `swap-sqr_binary64_1068`
12×	`cube-div_binary64_1130`
11×	`unpow3_binary64_1167` `pow-plus_binary64_1164` `cube-mult_binary64_1131` `distribute-rgt-out--_binary64_1055`
10×	`distribute-lft-out--_binary64_1053`
9×	`unpow2_binary64_1166` `unpow1_binary64_1159` `associate-+r+_binary64_1033`
8×	`exp-to-pow_binary64_1163` `associate-+l+_binary64_1034`
6×	`log-rec_binary64_1189` `distribute-neg-out_binary64_1063`
5×	`cube-unmult_binary64_1138` `rem-sqrt-square_binary64_1114` `count-2_binary64_1049`
4×	`/-rgt-identity_binary64_1092` `remove-double-neg_binary64_1089` `associate--r-_binary64_1040`
3×	`pow-base-1_binary64_1161` `exp-lft-sqr_binary64_1156` `rem-3cbrt-lft_binary64_1126` `difference-of-squares_binary64_1070` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035`
2×	`exp-neg_binary64_1148` `--rgt-identity_binary64_1087` `difference-of-sqr-1_binary64_1071` `associate--l+_binary64_1038`
1×	`exp-sqrt_binary64_1154` `div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-log-exp_binary64_1142` `rem-3cbrt-rft_binary64_1127` `rem-cbrt-cube_binary64_1125` `rem-square-sqrt_binary64_1113` `mul-1-neg_binary64_1093` `sub0-neg_binary64_1088` `+-rgt-identity_binary64_1086` `*-inverses_binary64_1081`
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` `unpow1/2_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` `cube-neg_binary64_1128` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `+-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` `cancel-sign-sub_binary64_1066` `distribute-frac-neg_binary64_1064` `associate--l-_binary64_1039` `associate--r+_binary64_1037`

Counts

152 → 608

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	281	6632
1	621	6300
2	1978	5805

prune2.2s (11.6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	597	11	608
Fresh	6	11	17
Picked	1	0	1
Done	0	0	0
Total	604	22	626

Error

51.8b

Counts

626 → 22

Compiler

Compiled 39053 to 17463 computations (55.3% saved)

regimes1.4s (7.3%)

Accuracy

Total 0.2b remaining (0.3%)

Threshold costs 0.2b (0.3%)

Compiler

Compiled 22875 to 13068 computations (42.9% saved)

bsearch0.0ms (0%)

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

48×	`unsub-neg_binary64_1095`
44×	`neg-mul-1_binary64_1097` `neg-sub0_binary64_1096`
34×	`distribute-lft-neg-out_binary64_1060`
33×	`distribute-rgt-neg-out_binary64_1061`
30×	`distribute-rgt-neg-in_binary64_1059`
26×	`distribute-neg-in_binary64_1062`
24×	`distribute-lft-neg-in_binary64_1058`
22×	`sub-neg_binary64_1094` `cancel-sign-sub-inv_binary64_1067` `distribute-neg-out_binary64_1063`
21×	`*-commutative_binary64_1032`
17×	`+-commutative_binary64_1031`
8×	`*-lft-identity_binary64_1090`
4×	`*-rgt-identity_binary64_1091` `distribute-neg-frac_binary64_1065`
2×	`sqr-neg_binary64_1115` `remove-double-neg_binary64_1089`
1×	`1-exp_binary64_1145` `--rgt-identity_binary64_1087`
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` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `sub0-neg_binary64_1088` `+-rgt-identity_binary64_1086` `+-lft-identity_binary64_1085` `cancel-sign-sub_binary64_1066` `distribute-frac-neg_binary64_1064`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	155
1	37	155
2	57	155
3	76	155
4	115	155
5	140	155
6	184	155
7	226	155
8	247	155
9	267	155
10	287	155
11	301	155
12	307	155
13	308	155

Proof

(* f64 (/ f64 (* f64 (cbrt f64 (- f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1))))) (cbrt f64 (- f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (- f64 (/ f64 h0 h1) 1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (=> (- f64 (/ f64 h0 h1) 1)))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
sub-neg_binary64_1094 =>
(* f64 (/ f64 (* f64 (cbrt f64 (- f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1))))) (cbrt f64 (- f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (=> (- f64 (/ f64 h0 h1) 1)))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (neg f64 1)))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
sub-neg_binary64_1094 =>
(* f64 (/ f64 (* f64 (cbrt f64 (- f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1))))) (cbrt f64 (=> (- f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (neg f64 1)))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (neg f64 1)))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
sub-neg_binary64_1094 =>
(* f64 (/ f64 (* f64 (cbrt f64 (=> (- f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (neg f64 (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (neg f64 1)))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (neg f64 1)))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
sub-neg_binary64_1094 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (neg f64 (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (neg f64 (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (neg f64 1)))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (=> (neg f64 1))))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
neg-mul-1_binary64_1097 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (neg f64 (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (neg f64 (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (=> (neg f64 1))))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
neg-mul-1_binary64_1097 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (neg f64 (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (=> (neg f64 (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
distribute-rgt-neg-in_binary64_1059 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (neg f64 (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (=> (- f64 (/ f64 h0 h1) 1))) (neg f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
sub-neg_binary64_1094 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (neg f64 (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (=> (neg f64 1)))) (neg f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
neg-mul-1_binary64_1097 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (=> (neg f64 (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1))))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (* f64 -1 1))) (neg f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
distribute-rgt-neg-in_binary64_1059 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (=> (- f64 (/ f64 h0 h1) 1))) (neg f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (* f64 -1 1))) (neg f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
sub-neg_binary64_1094 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (=> (neg f64 1)))) (neg f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (* f64 -1 1))) (neg f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
neg-mul-1_binary64_1097 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (* f64 -1 1))) (neg f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (* f64 -1 1))) (=> (neg f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
distribute-rgt-neg-in_binary64_1059 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (* f64 -1 1))) (neg f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (* f64 -1 1))) (* f64 (/ f64 h2 h1) (neg f64 (=> (- f64 (/ f64 h0 h1) 1)))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
sub-neg_binary64_1094 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (* f64 -1 1))) (=> (neg f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1))))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (* f64 -1 1))) (* f64 (/ f64 h2 h1) (neg f64 (+ f64 (/ f64 h0 h1) (neg f64 1)))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
distribute-rgt-neg-in_binary64_1059 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (* f64 -1 1))) (* f64 (/ f64 h2 h1) (neg f64 (=> (- f64 (/ f64 h0 h1) 1))))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (* f64 -1 1))) (* f64 (/ f64 h2 h1) (neg f64 (+ f64 (/ f64 h0 h1) (neg f64 1)))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
sub-neg_binary64_1094 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (* f64 -1 1))) (* f64 (/ f64 h2 h1) (neg f64 (+ f64 (/ f64 h0 h1) (neg f64 1))))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (* f64 -1 1))) (* f64 (/ f64 h2 h1) (neg f64 (=> (+ f64 (/ f64 h0 h1) (neg f64 1))))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
+-commutative_binary64_1031 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (* f64 -1 1))) (* f64 (/ f64 h2 h1) (neg f64 (=> (+ f64 (/ f64 h0 h1) (neg f64 1)))))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (* f64 -1 1))) (* f64 (/ f64 h2 h1) (neg f64 (+ f64 (neg f64 1) (/ f64 h0 h1)))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
+-commutative_binary64_1031 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (* f64 -1 1))) (* f64 (/ f64 h2 h1) (neg f64 (+ f64 (neg f64 1) (/ f64 h0 h1))))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (* f64 -1 1))) (* f64 (/ f64 h2 h1) (neg f64 (+ f64 (neg f64 1) (/ f64 h0 h1)))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (* f64 -1 1)))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (=> (* f64 -1 1))))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
*-rgt-identity_binary64_1091 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (* f64 -1 1))) (* f64 (/ f64 h2 h1) (neg f64 (+ f64 (neg f64 1) (/ f64 h0 h1))))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (* f64 -1 1))) (* f64 (/ f64 h2 h1) (neg f64 (+ f64 (neg f64 1) (/ f64 h0 h1)))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) (=> (* f64 -1 1))))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
*-rgt-identity_binary64_1091 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (* f64 -1 1))) (* f64 (/ f64 h2 h1) (neg f64 (+ f64 (neg f64 1) (/ f64 h0 h1))))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (=> (* f64 -1 1)))) (* f64 (/ f64 h2 h1) (neg f64 (+ f64 (neg f64 1) (/ f64 h0 h1)))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
*-rgt-identity_binary64_1091 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) (=> (* f64 -1 1)))) (* f64 (/ f64 h2 h1) (neg f64 (+ f64 (neg f64 1) (/ f64 h0 h1))))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (neg f64 (+ f64 (neg f64 1) (/ f64 h0 h1)))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
*-rgt-identity_binary64_1091 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (neg f64 (+ f64 (neg f64 1) (/ f64 h0 h1))))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (=> (neg f64 (+ f64 (neg f64 1) (/ f64 h0 h1))))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
distribute-neg-in_binary64_1062 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (=> (neg f64 (+ f64 (neg f64 1) (/ f64 h0 h1)))))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (+ f64 (neg f64 (neg f64 1)) (neg f64 (/ f64 h0 h1)))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
distribute-neg-in_binary64_1062 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (+ f64 (neg f64 (neg f64 1)) (neg f64 (/ f64 h0 h1))))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (=> (+ f64 (neg f64 (neg f64 1)) (neg f64 (/ f64 h0 h1))))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
unsub-neg_binary64_1095 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (=> (+ f64 (neg f64 (neg f64 1)) (neg f64 (/ f64 h0 h1)))))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 (neg f64 (neg f64 1)) (/ f64 h0 h1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
unsub-neg_binary64_1095 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 (neg f64 (neg f64 1)) (/ f64 h0 h1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 (=> (neg f64 (neg f64 1))) (/ f64 h0 h1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
remove-double-neg_binary64_1089 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 (=> (neg f64 (neg f64 1))) (/ f64 h0 h1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
remove-double-neg_binary64_1089 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))
<= *-rgt-identity_binary64_1091
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (<= (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) 1)))))
<= remove-double-neg_binary64_1089
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (=> (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) (<= (neg f64 (neg f64 1))))))))
distribute-rgt-neg-out_binary64_1061 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (neg f64 (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) (=> (neg f64 1)))))))
neg-mul-1_binary64_1097 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (neg f64 (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) (=> (* f64 -1 1)))))))
*-rgt-identity_binary64_1091 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (neg f64 (* f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)) -1)))))
<= *-commutative_binary64_1032
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (+ f64 (/ f64 h0 h1) (neg f64 (<= (* f64 -1 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1))))))))
<= neg-mul-1_binary64_1097
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (=> (+ f64 (/ f64 h0 h1) (neg f64 (<= (neg f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))))))
unsub-neg_binary64_1095 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (- f64 (/ f64 h0 h1) (=> (neg f64 (* f64 (/ f64 h2 h1) (- f64 (/ f64 h0 h1) 1)))))))
distribute-rgt-neg-in_binary64_1059 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (- f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (neg f64 (=> (- f64 (/ f64 h0 h1) 1)))))))
sub-neg_binary64_1094 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (- f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (neg f64 (=> (+ f64 (/ f64 h0 h1) (neg f64 1))))))))
+-commutative_binary64_1031 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (- f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (=> (neg f64 (+ f64 (neg f64 1) (/ f64 h0 h1))))))))
distribute-neg-in_binary64_1062 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (- f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (=> (+ f64 (neg f64 (neg f64 1)) (neg f64 (/ f64 h0 h1))))))))
unsub-neg_binary64_1095 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (- f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 (=> (neg f64 (neg f64 1))) (/ f64 h0 h1))))))
remove-double-neg_binary64_1089 =>
(* f64 (/ f64 (* f64 (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1)))))) (cbrt f64 (+ f64 (* f64 (/ f64 h0 h1) (/ f64 h0 h1)) (* f64 (* f64 (/ f64 h2 h1) (+ f64 (/ f64 h0 h1) -1)) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1))))))) (* f64 (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))) (cbrt f64 (- f64 (/ f64 h0 h1) (/ f64 h2 (/ f64 h1 (+ f64 (/ f64 h0 h1) -1))))))) (cbrt f64 (- f64 (/ f64 h0 h1) (* f64 (/ f64 h2 h1) (- f64 1 (/ f64 h0 h1))))))

end0.0ms (0%)

sample3.8s (19.7%)

Algorithm

1×

intervals

Results

174.0ms	8000×	body	128	valid
147.0ms	8000×	pre	128	true

Compiler

Compiled 5824 to 3312 computations (43.1% saved)

Iter	Nodes	Cost
0	23	155
1	37	155
2	57	155
3	76	155
4	115	155
5	140	155
6	184	155
7	226	155
8	247	155
9	267	155
10	287	155
11	301	155
12	307	155
13	308	155

Iter	Nodes	Cost
0	23	155
1	37	155
2	57	155
3	76	155
4	115	155
5	140	155
6	184	155
7	226	155
8	247	155
9	267	155
10	287	155
11	301	155
12	307	155
13	308	155

Details

analyze3.0ms (0%)

sample21.0ms (0.1%)

simplify1.8s (9.2%)

prune7.0ms (0%)

localize5.0ms (0%)

rewrite52.0ms (0.3%)

series99.0ms (0.5%)

simplify153.0ms (0.8%)

prune42.0ms (0.2%)

localize8.0ms (0%)

rewrite112.0ms (0.6%)

series593.0ms (3.1%)

simplify566.0ms (2.9%)

prune315.0ms (1.6%)

localize7.0ms (0%)

rewrite447.0ms (2.3%)

series609.0ms (3.2%)

simplify959.0ms (5%)

prune1.9s (9.7%)

localize16.0ms (0.1%)

rewrite625.0ms (3.2%)

series1.5s (7.5%)

simplify2.1s (10.7%)

prune2.2s (11.6%)

regimes1.4s (7.3%)

bsearch0.0ms (0%)

simplify55.0ms (0.3%)

end0.0ms (0%)

sample3.8s (19.7%)

Profiling

Iter	Nodes	Cost
0	23	155
1	37	155
2	57	155
3	76	155
4	115	155
5	140	155
6	184	155
7	226	155
8	247	155
9	267	155
10	287	155
11	301	155
12	307	155
13	308	155