Details

analyze68.0ms (2.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	37.5%	6.3%	7
68.7%	25%	6.3%	8
71.8%	18.7%	9.5%	9
78%	12.5%	9.5%	10
79.6%	9.4%	11%	11
82.7%	6.2%	11%	12
83.6%	4.6%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify615.0ms (20.7%)

Algorithm

1×	egg-herbie

Rules

759×	`unsub-neg_binary64_1095`
654×	`exp-prod_binary64_1153`
471×	`swap-sqr_binary64_1068`
450×	`cube-prod_binary64_1129`
271×	`distribute-rgt-in_binary64_1051`
201×	`neg-sub0_binary64_1096`
196×	`neg-mul-1_binary64_1097`
193×	`sub-neg_binary64_1094`
140×	`cancel-sign-sub-inv_binary64_1067`
131×	`sqr-pow_binary64_1073`
129×	`exp-sum_binary64_1147`
106×	`sqr-neg_binary64_1115`
98×	`exp-neg_binary64_1148` `associate--r+_binary64_1037`
96×	`pow-plus_binary64_1164` `distribute-rgt-neg-in_binary64_1059` `*-commutative_binary64_1032`
95×	`pow-sqr_binary64_1074`
94×	`distribute-rgt-neg-out_binary64_1061`
91×	`remove-double-neg_binary64_1089`
90×	`distribute-lft-in_binary64_1050`
81×	`distribute-lft-neg-out_binary64_1060`
80×	`exp-diff_binary64_1149` `associate-+l-_binary64_1036`
78×	`distribute-rgt1-in_binary64_1057` `associate--r-_binary64_1040`
73×	`associate-r_binary64_1041`
68×	`associate--l+_binary64_1038`
63×	`distribute-rgt-out--_binary64_1055` `associate-+r+_binary64_1033`
56×	`associate-l_binary64_1042`
51×	`distribute-rgt-out_binary64_1054`
50×	`sub0-neg_binary64_1088` `distribute-neg-out_binary64_1063` `distribute-neg-in_binary64_1062`
45×	`associate-+r-_binary64_1035`
44×	`associate--l-_binary64_1039`
35×	`distribute-lft-neg-in_binary64_1058` `+-commutative_binary64_1031`
34×	`associate-+l+_binary64_1034`
33×	`div-sub_binary64_1106`
20×	`mul0-rgt_binary64_1084`
17×	`mul0-lft_binary64_1083`
15×	`+-rgt-identity_binary64_1086`
12×	`exp-lft-sqr_binary64_1156`
11×	`-rgt-identity_binary64_1091` `-lft-identity_binary64_1090`
8×	`rem-sqrt-square_binary64_1114`
7×	`--rgt-identity_binary64_1087` `+-inverses_binary64_1080` `difference-of-squares_binary64_1070` `distribute-lft-out_binary64_1052` `count-2_binary64_1049`
6×	`pow-base-1_binary64_1161` `unswap-sqr_binary64_1069` `distribute-lft1-in_binary64_1056`
5×	`distribute-lft-out--_binary64_1053`
4×	`+-lft-identity_binary64_1085`
3×	`unpow1/2_binary64_1165` `cube-unmult_binary64_1138` `cube-neg_binary64_1128`
1×	`prod-exp_binary64_1150` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `mul-1-neg_binary64_1093` `div0_binary64_1082` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `cancel-sign-sub_binary64_1066`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `log-pow_binary64_1190` `log-rec_binary64_1189` `log-div_binary64_1188` `log-prod_binary64_1187` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `unpow3_binary64_1167` `unpow2_binary64_1166` `exp-to-pow_binary64_1163` `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` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-mult_binary64_1131` `cube-div_binary64_1130` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `rem-square-sqrt_binary64_1113` `times-frac_binary64_1107` `/-rgt-identity_binary64_1092` `-inverses_binary64_1081` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `associate-l/_binary64_1044` `associate-*r/_binary64_1043`

Counts

1 → 4

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	25	16
2	52	16
3	109	15
4	272	13
5	553	13
6	1005	13
7	2253	13

prune11.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

Counts

5 → 2

Compiler

Compiled 61 to 49 computations (19.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 y (-.f64 x 1/2)) x)
0.0b	(*.f64 y (-.f64 x 1/2))

rewrite70.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`cancel-sign-sub-inv_binary64_1067`
13×	`add-sqr-sqrt_binary64_1123`
11×	`*-un-lft-identity_binary64_1101`
9×	`add-cube-cbrt_binary64_1136`
8×	`distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `associate--l+_binary64_1038`
5×	`sub-neg_binary64_1094` `associate-r_binary64_1041`
4×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
3×	`associate-l_binary64_1042`
2×	`flip3--_binary64_1105` `associate-*r/_binary64_1043` `flip--_binary64_1076`
1×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053` `*-commutative_binary64_1032` `diff-log_binary64_1193`

Counts

2 → 52

Calls

2 calls:

8.0ms	(-.f64 (*.f64 y (-.f64 x 1/2)) x)
7.0ms	(*.f64 y (-.f64 x 1/2))

Compiler

Compiled 824 to 566 computations (31.3% saved)

series251.0ms (8.4%)

Error

Counts

2 → 21

Calls

2 calls:

144.0ms	(-.f64 (*.f64 y (-.f64 x 1/2)) x)
90.0ms	(*.f64 y (-.f64 x 1/2))

Compiler

Compiled 504 to 390 computations (22.6% saved)

simplify193.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

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

Counts

73 → 116

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	737
1	266	716
2	724	710
3	2219	710

prune109.0ms (3.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	116	2	118

Error

Counts

118 → 2

Compiler

Compiled 1778 to 1121 computations (37% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
0.0b	(*.f64 x (-.f64 y 1))

rewrite74.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_1123`
13×	`cancel-sign-sub-inv_binary64_1067`
11×	`*-un-lft-identity_binary64_1101`
8×	`add-cube-cbrt_binary64_1136` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `associate--l+_binary64_1038`
7×	`associate-r_binary64_1041`
5×	`sub-neg_binary64_1094`
4×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
3×	`associate-l_binary64_1042`
2×	`flip3--_binary64_1105` `associate-*r/_binary64_1043` `flip--_binary64_1076` `difference-of-squares_binary64_1070`
1×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053` `*-commutative_binary64_1032` `diff-log_binary64_1193`

Counts

2 → 52

Calls

2 calls:

8.0ms	(*.f64 x (-.f64 y 1))
7.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))

Compiler

Compiled 945 to 690 computations (27% saved)

series257.0ms (8.7%)

Error

Counts

2 → 21

Calls

2 calls:

146.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
98.0ms	(*.f64 x (-.f64 y 1))

Compiler

Compiled 534 to 419 computations (21.5% saved)

simplify285.0ms (9.6%)

Algorithm

1×	egg-herbie

Rules

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

Counts

73 → 127

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	793
1	260	718
2	680	715
3	2324	706

prune125.0ms (4.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	127	2	129

Error

Counts

129 → 2

Compiler

Compiled 2231 to 1371 computations (38.5% saved)

regimes100.0ms (3.4%)

Accuracy

Total 0.0b remaining (79.7%)

Threshold costs 0.0b (79.7%)

Compiler

Compiled 500 to 492 computations (1.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	19	13
2	25	13
3	28	13
4	29	13

Proof

(+ f64 (- f64 (* f64 h0 (=> (+ f64 (neg f64 1/2) h1))) h1) 8277062471433911/9007199254740992)
+-commutative_binary64_1031 =>
(+ f64 (- f64 (* f64 h0 (=> (+ f64 h1 (neg f64 1/2)))) h1) 8277062471433911/9007199254740992)
unsub-neg_binary64_1095 =>
(+ f64 (- f64 (* f64 h0 (- f64 h1 1/2)) h1) 8277062471433911/9007199254740992)

end0.0ms (0%)

sample775.0ms (26.1%)

Algorithm

1×

intervals

Results

235.0ms	7996×	body	128	valid
2.0ms	81×	body	128	invalid
0.0ms	4×	body	1024	valid

Compiler

Compiled 135 to 133 computations (1.5% saved)

Details

analyze68.0ms (2.3%)

sample16.0ms (0.5%)

simplify615.0ms (20.7%)

prune11.0ms (0.4%)

localize6.0ms (0.2%)

rewrite70.0ms (2.4%)

series251.0ms (8.4%)

simplify193.0ms (6.5%)

prune109.0ms (3.7%)

localize10.0ms (0.3%)

rewrite74.0ms (2.5%)

series257.0ms (8.7%)

simplify285.0ms (9.6%)

prune125.0ms (4.2%)

regimes100.0ms (3.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample775.0ms (26.1%)

Profiling