Details

analyze288.0ms (10.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

582×	`unsub-neg_binary64_1095`
528×	`sub-neg_binary64_1094`
494×	`associate-l_binary64_1042`
478×	`distribute-rgt-neg-in_binary64_1059`
340×	`distribute-lft-neg-in_binary64_1058`
336×	`sqr-pow_binary64_1073`
328×	`associate-r_binary64_1041`
324×	`neg-sub0_binary64_1096`
316×	`neg-mul-1_binary64_1097`
200×	`associate--r+_binary64_1037`
186×	`cancel-sign-sub-inv_binary64_1067`
184×	`distribute-rgt-out--_binary64_1055`
166×	`distribute-lft-out--_binary64_1053`
164×	`unswap-sqr_binary64_1069`
156×	`distribute-rgt-in_binary64_1051`
154×	`cube-prod_binary64_1129` `distribute-lft-neg-out_binary64_1060`
152×	`distribute-neg-in_binary64_1062` `distribute-rgt-out_binary64_1054`
148×	`+-commutative_binary64_1031`
130×	`associate--r-_binary64_1040`
128×	`distribute-rgt-neg-out_binary64_1061`
122×	`distribute-lft-out_binary64_1052`
120×	`remove-double-neg_binary64_1089`
118×	`distribute-lft-in_binary64_1050`
110×	`*-commutative_binary64_1032`
100×	`pow-sqr_binary64_1074`
96×	`associate-+r-_binary64_1035`
92×	`associate--l+_binary64_1038`
70×	`associate-+l-_binary64_1036`
62×	`--rgt-identity_binary64_1087` `associate--l-_binary64_1039`
58×	`pow-plus_binary64_1164`
54×	`unpow3_binary64_1167`
50×	`mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `cancel-sign-sub_binary64_1066` `distribute-neg-out_binary64_1063`
44×	`cube-mult_binary64_1131` `swap-sqr_binary64_1068`
38×	`sub0-neg_binary64_1088`
32×	`+-lft-identity_binary64_1085`
24×	`+-rgt-identity_binary64_1086` `associate-+r+_binary64_1033`
20×	`unpow2_binary64_1166`
14×	`cube-unmult_binary64_1138` `rem-sqrt-square_binary64_1114` `*-lft-identity_binary64_1090` `associate-+l+_binary64_1034`
12×	`unpow1_binary64_1159` `sqr-neg_binary64_1115`
10×	`unpow1/2_binary64_1165` `cube-neg_binary64_1128`
8×	`mul-1-neg_binary64_1093`
2×	`*-rgt-identity_binary64_1091`
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` `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-prod_binary64_1153` `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-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `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` `div-sub_binary64_1106` `/-rgt-identity_binary64_1092` `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` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `count-2_binary64_1049` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `associate-l/_binary64_1044` `associate-*r/_binary64_1043`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	41	44
2	108	44
3	222	44
4	585	44
5	1746	44
6	3413	44
7	3731	44
8	4413	44
9	4435	44
10	4735	44
11	4845	44
0	2	2
1	2	2

Search

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

sample25.0ms (0.9%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 37 to 33 computations (10.8% saved)

simplify132.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

940×	`distribute-rgt-neg-in_binary64_1059`
625×	`unswap-sqr_binary64_1069`
442×	`sqr-pow_binary64_1073`
441×	`cancel-sign-sub-inv_binary64_1067`
414×	`unsub-neg_binary64_1095`
269×	`associate-l_binary64_1042`
231×	`sub-neg_binary64_1094`
221×	`distribute-lft-neg-in_binary64_1058`
217×	`*-commutative_binary64_1032`
189×	`neg-sub0_binary64_1096`
186×	`associate-r_binary64_1041`
183×	`neg-mul-1_binary64_1097`
180×	`distribute-rgt-in_binary64_1051`
168×	`cube-prod_binary64_1129`
155×	`pow-sqr_binary64_1074`
130×	`associate--r+_binary64_1037`
117×	`distribute-lft-in_binary64_1050`
100×	`distribute-lft-neg-out_binary64_1060`
91×	`distribute-neg-in_binary64_1062`
90×	`distribute-rgt-neg-out_binary64_1061`
79×	`pow-plus_binary64_1164`
76×	`unpow3_binary64_1167`
74×	`distribute-rgt-out--_binary64_1055`
73×	`+-commutative_binary64_1031`
70×	`remove-double-neg_binary64_1089`
65×	`cube-mult_binary64_1131`
58×	`distribute-rgt-out_binary64_1054`
53×	`associate-+l-_binary64_1036`
50×	`mul0-rgt_binary64_1084` `mul0-lft_binary64_1083`
40×	`swap-sqr_binary64_1068` `distribute-lft-out--_binary64_1053` `associate--r-_binary64_1040`
37×	`sub0-neg_binary64_1088`
36×	`rem-sqrt-square_binary64_1114` `--rgt-identity_binary64_1087`
31×	`cancel-sign-sub_binary64_1066`
30×	`distribute-lft-out_binary64_1052`
28×	`associate--l+_binary64_1038`
21×	`associate-+l+_binary64_1034`
19×	`associate-+r+_binary64_1033`
17×	`+-lft-identity_binary64_1085` `associate--l-_binary64_1039`
16×	`unpow2_binary64_1166`
15×	`sqr-neg_binary64_1115` `associate-+r-_binary64_1035`
14×	`unpow1_binary64_1159` `*-lft-identity_binary64_1090` `+-rgt-identity_binary64_1086` `distribute-neg-out_binary64_1063`
13×	`cube-unmult_binary64_1138`
12×	`unpow1/2_binary64_1165`
11×	`cube-neg_binary64_1128`
8×	`*-rgt-identity_binary64_1091`
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` `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-prod_binary64_1153` `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-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `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` `div-sub_binary64_1106` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `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` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `count-2_binary64_1049` `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 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	27	22
2	67	22
3	131	22
4	340	22
5	1006	22
6	1753	22
7	3299	22
8	3144	22
9	3473	22
10	3735	22
11	4129	22
12	5255	22

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

52.0b

Counts

1 → 1

Compiler

Compiled 15 to 13 computations (13.3% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

23.0b

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite35.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

7×	`cancel-sign-sub-inv_binary64_1067`
3×	`add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `unpow-prod-down_binary64_1180`
1×	`diff-log_binary64_1193` `pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `flip3--_binary64_1105` `sub-neg_binary64_1094` `flip--_binary64_1076` `sqr-pow_binary64_1073`

Counts

1 → 18

Calls

1 calls:

7.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 445 to 328 computations (26.3% saved)

series320.0ms (11.2%)

Error

52.0b

Counts

1 → 12

Calls

1 calls:

310.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 402 to 321 computations (20.1% saved)

simplify80.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

509×	`unsub-neg_binary64_1095`
421×	`times-frac_binary64_1107`
357×	`distribute-rgt-in_binary64_1051`
328×	`associate-l_binary64_1042`
309×	`distribute-lft-in_binary64_1050`
302×	`associate-r_binary64_1041`
284×	`exp-prod_binary64_1153`
239×	`unswap-sqr_binary64_1069`
198×	`sqr-pow_binary64_1073`
188×	`neg-sub0_binary64_1096`
187×	`neg-mul-1_binary64_1097`
158×	`cancel-sign-sub-inv_binary64_1067`
152×	`cube-prod_binary64_1129`
90×	`distribute-lft-neg-out_binary64_1060`
76×	`distribute-rgt-neg-in_binary64_1059`
75×	`distribute-rgt-neg-out_binary64_1061`
70×	`distribute-lft-neg-in_binary64_1058`
64×	`*-commutative_binary64_1032`
62×	`unpow3_binary64_1167`
60×	`sub-neg_binary64_1094`
59×	`mul0-rgt_binary64_1084` `mul0-lft_binary64_1083`
54×	`exp-sum_binary64_1147` `distribute-lft-out_binary64_1052`
50×	`pow-plus_binary64_1164`
49×	`distribute-rgt-out_binary64_1054`
48×	`pow-sqr_binary64_1074`
44×	`cube-mult_binary64_1131`
32×	`swap-sqr_binary64_1068`
30×	`exp-diff_binary64_1149`
28×	`associate-+r+_binary64_1033`
27×	`cube-unmult_binary64_1138`
24×	`rem-sqrt-square_binary64_1114`
23×	`associate-+l+_binary64_1034`
21×	`+-commutative_binary64_1031`
18×	`difference-of-squares_binary64_1070`
11×	`associate-/l*_binary64_1046`
10×	`sqr-neg_binary64_1115` `sub0-neg_binary64_1088`
9×	`unpow2_binary64_1166` `associate-+l-_binary64_1036`
8×	`div-sub_binary64_1106` `+-rgt-identity_binary64_1086` `+-lft-identity_binary64_1085`
7×	`mul-1-neg_binary64_1093`
5×	`unpow1/2_binary64_1165` `unpow1_binary64_1159` `--rgt-identity_binary64_1087` `associate-+r-_binary64_1035`
4×	`exp-neg_binary64_1148` `associate-/r*_binary64_1045`
3×	`associate-*r/_binary64_1043`
2×	`cube-neg_binary64_1128` `rem-square-sqrt_binary64_1113` `distribute-neg-in_binary64_1062` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `associate--r+_binary64_1037`
1×	`log-prod_binary64_1187` `div-exp_binary64_1152` `1-exp_binary64_1145` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `*-rgt-identity_binary64_1091` `remove-double-neg_binary64_1089`
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` `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` `prod-exp_binary64_1150` `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-div_binary64_1130` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `/-rgt-identity_binary64_1092` `-lft-identity_binary64_1090` `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` `cancel-sign-sub_binary64_1066` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-rgt-out--_binary64_1055` `distribute-lft-out--_binary64_1053` `count-2_binary64_1049` `associate-*l/_binary64_1044` `associate--r-_binary64_1040` `associate--l-_binary64_1039` `associate--l+_binary64_1038`

Counts

30 → 14

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	415
1	147	376
2	371	376
3	1416	376
4	3560	370
5	4443	370
6	5269	370

prune16.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	1	15

Error

52.0b

Counts

15 → 1

Compiler

Compiled 255 to 183 computations (28.2% saved)

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

1.0b	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite93.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

12×	`cbrt-prod_binary64_1132`
7×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `cancel-sign-sub-inv_binary64_1067`
6×	`unpow-prod-down_binary64_1180`
4×	`add-log-exp_binary64_1140`
3×	`cube-prod_binary64_1129`
2×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `flip3--_binary64_1105` `flip--_binary64_1076` `sqr-pow_binary64_1073` `cube-div_binary64_1130` `cbrt-div_binary64_1133`
1×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `pow1/3_binary64_1183` `unpow3_binary64_1167` `cube-mult_binary64_1131` `rem-cbrt-cube_binary64_1125`

Counts

2 → 41

Calls

2 calls:

7.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
7.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 1243 to 963 computations (22.5% saved)

series636.0ms (22.3%)

Error

52.0b

Counts

2 → 24

Calls

2 calls:

307.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
306.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))

Compiler

Compiled 894 to 729 computations (18.5% saved)

simplify70.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

790×	`unswap-sqr_binary64_1069`
632×	`associate-l_binary64_1042`
601×	`associate-r_binary64_1041`
222×	`swap-sqr_binary64_1068`
196×	`distribute-lft-in_binary64_1050`
195×	`distribute-rgt-in_binary64_1051`
130×	`sqr-pow_binary64_1073`
101×	`*-commutative_binary64_1032`
81×	`exp-prod_binary64_1153`
62×	`cube-prod_binary64_1129`
41×	`unsub-neg_binary64_1095`
35×	`neg-sub0_binary64_1096`
29×	`sub-neg_binary64_1094`
28×	`neg-mul-1_binary64_1097` `cancel-sign-sub-inv_binary64_1067`
27×	`pow-plus_binary64_1164`
25×	`unpow3_binary64_1167`
24×	`cube-unmult_binary64_1138`
23×	`distribute-rgt-neg-in_binary64_1059`
22×	`exp-sum_binary64_1147` `pow-sqr_binary64_1074`
20×	`distribute-lft-neg-in_binary64_1058`
18×	`difference-of-squares_binary64_1070` `distribute-lft-neg-out_binary64_1060`
17×	`cube-mult_binary64_1131`
15×	`+-commutative_binary64_1031`
12×	`rem-sqrt-square_binary64_1114` `distribute-rgt-neg-out_binary64_1061`
11×	`mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `distribute-rgt-out_binary64_1054`
9×	`log-prod_binary64_1187`
8×	`rem-cbrt-cube_binary64_1125` `associate-+l+_binary64_1034`
7×	`exp-diff_binary64_1149` `associate-+r+_binary64_1033`
5×	`unpow2_binary64_1166` `unpow1/2_binary64_1165` `unpow1_binary64_1159`
4×	`mul-1-neg_binary64_1093` `distribute-lft-out_binary64_1052`
3×	`log-pow_binary64_1190` `sqr-neg_binary64_1115` `rem-square-sqrt_binary64_1113` `times-frac_binary64_1107` `sub0-neg_binary64_1088` `+-rgt-identity_binary64_1086` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035`
2×	`rem-3cbrt-lft_binary64_1126` `associate-/l*_binary64_1046`
1×	`div-exp_binary64_1152` `exp-neg_binary64_1148` `1-exp_binary64_1145` `rem-3cbrt-rft_binary64_1127` `rem-cube-cbrt_binary64_1124` `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` `log-rec_binary64_1189` `log-div_binary64_1188` `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` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `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-div_binary64_1130` `cube-neg_binary64_1128` `sqr-abs_binary64_1116` `div-sub_binary64_1106` `/-rgt-identity_binary64_1092` `-rgt-identity_binary64_1091` `-lft-identity_binary64_1090` `remove-double-neg_binary64_1089` `--rgt-identity_binary64_1087` `+-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` `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-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-rgt-out--_binary64_1055` `distribute-lft-out--_binary64_1053` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `associate-/r_binary64_1045` `associate-l/_binary64_1044` `associate-r/_binary64_1043` `associate--r-_binary64_1040` `associate--l-_binary64_1039` `associate--l+_binary64_1038` `associate--r+_binary64_1037`

Counts

65 → 36

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	1118
1	207	1024
2	593	1024
3	3047	1024
4	5079	1024

prune50.0ms (1.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	1	37

Error

52.0b

Counts

37 → 1

Compiler

Compiled 808 to 603 computations (25.4% saved)

regimes44.0ms (1.5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 395 to 349 computations (11.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64_1032`
3×	`+-commutative_binary64_1031`
2×	`sub-neg_binary64_1094`
1×	`neg-mul-1_binary64_1097` `neg-sub0_binary64_1096`
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` `unsub-neg_binary64_1095` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `-rgt-identity_binary64_1091` `-lft-identity_binary64_1090` `remove-double-neg_binary64_1089` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-rgt-identity_binary64_1086` `+-lft-identity_binary64_1085` `cancel-sign-sub-inv_binary64_1067` `cancel-sign-sub_binary64_1066` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-neg-in_binary64_1062` `distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060` `distribute-rgt-neg-in_binary64_1059` `distribute-lft-neg-in_binary64_1058`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	22	54
2	27	54
3	29	54
4	30	54
5	30	54

end0.0ms (0%)

sample1.0s (36.2%)

Algorithm

1×

intervals

Results

485.0ms	8000×	body	128	valid
146.0ms	8000×	pre	128	true

Compiler

Compiled 127 to 109 computations (14.2% saved)

Details

analyze288.0ms (10.1%)

sample25.0ms (0.9%)

simplify132.0ms (4.6%)

prune2.0ms (0.1%)

localize9.0ms (0.3%)

rewrite35.0ms (1.2%)

series320.0ms (11.2%)

simplify80.0ms (2.8%)

prune16.0ms (0.6%)

localize12.0ms (0.4%)

rewrite93.0ms (3.3%)

series636.0ms (22.3%)

simplify70.0ms (2.4%)

prune50.0ms (1.8%)

regimes44.0ms (1.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.0s (36.2%)

Profiling