Details

analyze282.0ms (4.8%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	15×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify701.0ms (12%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	19	10
2	44	10
3	80	10
4	124	10
5	131	10
6	137	10
7	207	10
8	810	10
9	1434	10
10	2386	10
11	4593	10

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 7 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))

rewrite42.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`*-un-lft-identity_binary64_1101`
6×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
5×	`add-sqr-sqrt_binary64_1123`
4×	`frac-times_binary64_1111` `associate-l_binary64_1042` `associate-r_binary64_1041`
3×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136`
2×	`associate-l/_binary64_1044` `associate-r/_binary64_1043` `distribute-lft-out_binary64_1052`
1×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `*-commutative_binary64_1032`

Counts

1 → 30

Calls

1 calls:

9.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

Compiler

Compiled 492 to 257 computations (47.8% saved)

series179.0ms (3.1%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

167.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

Compiler

Compiled 383 to 228 computations (40.5% saved)

simplify177.0ms (3%)

Algorithm

1×	egg-herbie

Rules

787×	`distribute-rgt-in_binary64_1051`
750×	`distribute-lft-in_binary64_1050`
280×	`unsub-neg_binary64_1095`
256×	`sub-neg_binary64_1094`
183×	`*-commutative_binary64_1032`
167×	`neg-sub0_binary64_1096`
156×	`associate-+r+_binary64_1033`
154×	`neg-mul-1_binary64_1097`
115×	`distribute-rgt-out_binary64_1054`
108×	`associate-+l+_binary64_1034`
86×	`distribute-rgt-neg-out_binary64_1061`
85×	`unswap-sqr_binary64_1069`
80×	`*-rgt-identity_binary64_1091`
79×	`associate-l_binary64_1042`
77×	`exp-sum_binary64_1147` `distribute-lft-neg-out_binary64_1060`
68×	`*-lft-identity_binary64_1090` `associate-+l-_binary64_1036`
67×	`sqr-pow_binary64_1073`
66×	`exp-prod_binary64_1153`
65×	`associate-r_binary64_1041`
57×	`associate-+r-_binary64_1035`
48×	`cancel-sign-sub-inv_binary64_1067`
41×	`log-pow_binary64_1190`
40×	`pow-sqr_binary64_1074`
36×	`exp-to-pow_binary64_1163`
35×	`pow-plus_binary64_1164`
33×	`distribute-rgt-neg-in_binary64_1059`
29×	`+-commutative_binary64_1031`
28×	`associate--r+_binary64_1037`
25×	`distribute-neg-in_binary64_1062`
24×	`distribute-lft-neg-in_binary64_1058`
21×	`log-prod_binary64_1187`
16×	`distribute-neg-out_binary64_1063`
15×	`pow-base-1_binary64_1161`
13×	`mul-1-neg_binary64_1093`
12×	`swap-sqr_binary64_1068`
11×	`distribute-rgt1-in_binary64_1057` `distribute-rgt-out--_binary64_1055`
10×	`cube-prod_binary64_1129`
9×	`+-rgt-identity_binary64_1086` `distribute-lft1-in_binary64_1056`
8×	`associate-/l*_binary64_1046`
6×	`sub0-neg_binary64_1088` `associate-/l/_binary64_1048`
5×	`associate-*r/_binary64_1043`
4×	`unpow3_binary64_1167` `prod-exp_binary64_1150` `cube-unmult_binary64_1138` `cube-mult_binary64_1131` `times-frac_binary64_1107` `difference-of-squares_binary64_1070` `distribute-lft-out_binary64_1052`
3×	`exp-sqrt_binary64_1154`
2×	`exp-lft-sqr_binary64_1156` `associate-/r/_binary64_1047` `associate--r-_binary64_1040` `associate--l+_binary64_1038`
1×	`exp-lft-cube_binary64_1157` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-log-exp_binary64_1142` `/-rgt-identity_binary64_1092` `count-2_binary64_1049` `associate-/r_binary64_1045` `associate-l/_binary64_1044`
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` `unpow1/2_binary64_1165` `unpow0_binary64_1160` `unpow1_binary64_1159` `unpow-1_binary64_1158` `exp-cbrt_binary64_1155` `div-exp_binary64_1152` `rec-exp_binary64_1151` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-exp-log_binary64_1141` `cube-div_binary64_1130` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `div-sub_binary64_1106` `remove-double-neg_binary64_1089` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `*-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `cancel-sign-sub_binary64_1066` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-lft-out--_binary64_1053` `associate--l-_binary64_1039`

Counts

48 → 103

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	83	700
1	273	622
2	890	622
3	3290	622
4	4156	622

prune92.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	3	104

Error

0.0b

Counts

104 → 3

Compiler

Compiled 1668 to 737 computations (55.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 z (+.f64 y x)) x)
0.0b	(*.f64 z (+.f64 y x))

rewrite41.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
4×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `associate-r_binary64_1041`
3×	`associate-l_binary64_1042`
2×	`distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `flip3-+_binary64_1104` `associate-*r/_binary64_1043` `flip-+_binary64_1075` `associate-+l+_binary64_1034`
1×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `distribute-lft-out_binary64_1052` `*-commutative_binary64_1032` `sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

2 → 36

Calls

2 calls:

6.0ms	(+.f64 (*.f64 z (+.f64 y x)) x)
6.0ms	(*.f64 z (+.f64 y x))

Compiler

Compiled 563 to 176 computations (68.7% saved)

series309.0ms (5.3%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

170.0ms	(+.f64 (*.f64 z (+.f64 y x)) x)
123.0ms	(*.f64 z (+.f64 y x))

Compiler

Compiled 766 to 400 computations (47.8% saved)

simplify127.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

459×	`distribute-rgt-in_binary64_1051`
445×	`distribute-lft-in_binary64_1050`
368×	`associate-l_binary64_1042`
298×	`associate-r_binary64_1041`
270×	`sub-neg_binary64_1094`
244×	`distribute-rgt-out_binary64_1054`
221×	`unswap-sqr_binary64_1069`
205×	`cancel-sign-sub-inv_binary64_1067`
187×	`distribute-rgt-neg-in_binary64_1059`
153×	`distribute-neg-in_binary64_1062`
152×	`+-commutative_binary64_1031`
150×	`distribute-rgt-out--_binary64_1055`
123×	`associate--r-_binary64_1040`
121×	`associate--l-_binary64_1039`
119×	`distribute-lft-neg-in_binary64_1058`
112×	`sqr-pow_binary64_1073`
84×	`distribute-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052`
80×	`associate--r+_binary64_1037`
77×	`unsub-neg_binary64_1095` `*-commutative_binary64_1032`
71×	`associate-+l+_binary64_1034`
63×	`associate-+r+_binary64_1033`
61×	`pow-sqr_binary64_1074`
53×	`distribute-lft-neg-out_binary64_1060`
51×	`neg-mul-1_binary64_1097` `associate--l+_binary64_1038`
49×	`neg-sub0_binary64_1096` `associate-+l-_binary64_1036`
41×	`*-rgt-identity_binary64_1091`
39×	`*-lft-identity_binary64_1090`
38×	`exp-prod_binary64_1153` `associate-+r-_binary64_1035`
29×	`associate-/l*_binary64_1046`
25×	`sub0-neg_binary64_1088`
23×	`exp-sum_binary64_1147` `associate-/l/_binary64_1048`
20×	`+-rgt-identity_binary64_1086`
16×	`log-prod_binary64_1187` `swap-sqr_binary64_1068` `distribute-rgt-neg-out_binary64_1061`
13×	`cube-prod_binary64_1129` `distribute-rgt1-in_binary64_1057` `associate-*r/_binary64_1043`
9×	`unpow3_binary64_1167` `cancel-sign-sub_binary64_1066` `distribute-lft1-in_binary64_1056`
8×	`cube-unmult_binary64_1138` `associate-/r/_binary64_1047`
6×	`pow-plus_binary64_1164` `difference-of-squares_binary64_1070`
5×	`log-pow_binary64_1190`
4×	`prod-exp_binary64_1150` `cube-mult_binary64_1131` `distribute-neg-out_binary64_1063`
3×	`pow-base-1_binary64_1161` `times-frac_binary64_1107`
2×	`associate-/r*_binary64_1045`
1×	`1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-log-exp_binary64_1142` `/-rgt-identity_binary64_1092` `remove-double-neg_binary64_1089` `-inverses_binary64_1081` `rgt-mult-inverse_binary64_1078` `count-2_binary64_1049` `associate-l/_binary64_1044`
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` `unpow1/2_binary64_1165` `exp-to-pow_binary64_1163` `unpow0_binary64_1160` `unpow1_binary64_1159` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `div-exp_binary64_1152` `rec-exp_binary64_1151` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-exp-log_binary64_1141` `cube-div_binary64_1130` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `div-sub_binary64_1106` `mul-1-neg_binary64_1093` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `remove-double-div_binary64_1077` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064`

Counts

69 → 76

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	668
1	196	647
2	630	641
3	2161	641
4	3407	641

prune57.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	76	3	79

Error

Counts

79 → 3

Compiler

Compiled 1233 to 265 computations (78.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 z y) (.f64 x z))
0.0b	(+.f64 (+.f64 (.f64 z y) (.f64 x z)) x)

rewrite32.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64_1140`
4×	`sum-log_binary64_1192` `*-un-lft-identity_binary64_1101`
2×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `flip3-+_binary64_1104` `flip-+_binary64_1075` `+-commutative_binary64_1031`
1×	`distribute-lft-out_binary64_1052` `associate-+l+_binary64_1034`

Counts

2 → 25

Calls

2 calls:

8.0ms	(+.f64 (+.f64 (.f64 z y) (.f64 x z)) x)
4.0ms	(+.f64 (.f64 z y) (.f64 x z))

Compiler

Compiled 503 to 117 computations (76.7% saved)

series341.0ms (5.8%)

Error

Counts

2 → 33

Calls

2 calls:

187.0ms	(+.f64 (+.f64 (.f64 z y) (.f64 x z)) x)
139.0ms	(+.f64 (.f64 z y) (.f64 x z))

Compiler

Compiled 766 to 400 computations (47.8% saved)

simplify142.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

386×	`sub-neg_binary64_1094`
370×	`distribute-rgt-out_binary64_1054`
304×	`associate-l_binary64_1042`
292×	`unswap-sqr_binary64_1069`
262×	`distribute-rgt-in_binary64_1051`
238×	`associate-r_binary64_1041`
232×	`distribute-lft-in_binary64_1050`
208×	`cancel-sign-sub-inv_binary64_1067`
205×	`distribute-rgt-neg-in_binary64_1059`
181×	`distribute-lft-out_binary64_1052`
175×	`+-commutative_binary64_1031`
150×	`distribute-lft-neg-in_binary64_1058`
125×	`distribute-neg-in_binary64_1062`
109×	`sqr-pow_binary64_1073`
88×	`unsub-neg_binary64_1095`
84×	`associate-+l-_binary64_1036`
83×	`associate-+l+_binary64_1034`
82×	`associate-+r-_binary64_1035`
77×	`associate--r+_binary64_1037`
76×	`distribute-rgt-out--_binary64_1055`
66×	`pow-sqr_binary64_1074`
64×	`associate--l+_binary64_1038`
60×	`neg-mul-1_binary64_1097`
59×	`associate-+r+_binary64_1033`
57×	`neg-sub0_binary64_1096`
54×	`*-commutative_binary64_1032`
53×	`distribute-lft-neg-out_binary64_1060`
42×	`sub0-neg_binary64_1088`
36×	`exp-sum_binary64_1147`
33×	`exp-prod_binary64_1153`
32×	`+-rgt-identity_binary64_1086`
24×	`*-rgt-identity_binary64_1091` `distribute-rgt-neg-out_binary64_1061`
22×	`cube-prod_binary64_1129`
21×	`*-lft-identity_binary64_1090`
17×	`swap-sqr_binary64_1068`
16×	`distribute-lft-out--_binary64_1053`
14×	`cancel-sign-sub_binary64_1066`
12×	`unpow3_binary64_1167`
10×	`log-prod_binary64_1187` `cube-unmult_binary64_1138` `difference-of-squares_binary64_1070` `distribute-neg-out_binary64_1063`
9×	`prod-exp_binary64_1150`
8×	`cube-mult_binary64_1131` `remove-double-neg_binary64_1089`
7×	`associate--r-_binary64_1040`
6×	`associate-/l/_binary64_1048`
5×	`pow-plus_binary64_1164` `associate-/l*_binary64_1046`
4×	`exp-diff_binary64_1149` `times-frac_binary64_1107` `associate-*r/_binary64_1043`
2×	`pow-base-1_binary64_1161` `--rgt-identity_binary64_1087` `distribute-rgt1-in_binary64_1057`
1×	`1-exp_binary64_1145` `exp-1-e_binary64_1144` `/-rgt-identity_binary64_1092` `+-lft-identity_binary64_1085` `-inverses_binary64_1081` `difference-of-sqr--1_binary64_1072` `distribute-lft1-in_binary64_1056` `associate-l/_binary64_1044`
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` `unpow2_binary64_1166` `unpow1/2_binary64_1165` `exp-to-pow_binary64_1163` `unpow0_binary64_1160` `unpow1_binary64_1159` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `div-exp_binary64_1152` `rec-exp_binary64_1151` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-div_binary64_1130` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `div-sub_binary64_1106` `mul-1-neg_binary64_1093` `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_1071` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `count-2_binary64_1049` `associate-/r/_binary64_1047` `associate-/r*_binary64_1045` `associate--l-_binary64_1039`

Counts

58 → 128

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	739
1	183	592
2	559	583
3	2028	580
4	3733	580

prune102.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	128	3	131

Error

Counts

131 → 3

Compiler

Compiled 2671 to 477 computations (82.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 (+.f64 x y) (.f64 z (-.f64 y x))) (-.f64 y x)) x)
0.0b	(*.f64 z (-.f64 y x))
0.2b	(.f64 (+.f64 x y) (.f64 z (-.f64 y x)))
18.3b	(/.f64 (.f64 (+.f64 x y) (.f64 z (-.f64 y x))) (-.f64 y x))

rewrite191.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`*-un-lft-identity_binary64_1101`
23×	`add-sqr-sqrt_binary64_1123`
20×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
18×	`associate-*r/_binary64_1043` `cancel-sign-sub-inv_binary64_1067`
15×	`add-cube-cbrt_binary64_1136`
11×	`pow1_binary64_1162`
8×	`flip3--_binary64_1105` `frac-times_binary64_1111` `associate-/l/_binary64_1048` `flip--_binary64_1076`
7×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-l_binary64_1042`
6×	`add-log-exp_binary64_1140` `sub-neg_binary64_1094` `associate-r_binary64_1041`
5×	`times-frac_binary64_1107` `associate-/r*_binary64_1045`
4×	`associate-*l/_binary64_1044` `pow-prod-down_binary64_1172`
3×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053`
2×	`associate-/r/_binary64_1047` `distribute-lft-out_binary64_1052` `*-commutative_binary64_1032`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l*_binary64_1046` `unswap-sqr_binary64_1069` `sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

4 → 122

Calls

4 calls:

15.0ms	(/.f64 (.f64 (+.f64 x y) (.f64 z (-.f64 y x))) (-.f64 y x))
15.0ms	(+.f64 (/.f64 (.f64 (+.f64 x y) (.f64 z (-.f64 y x))) (-.f64 y x)) x)
12.0ms	(.f64 (+.f64 x y) (.f64 z (-.f64 y x)))
7.0ms	(*.f64 z (-.f64 y x))

Compiler

Compiled 3306 to 769 computations (76.7% saved)

series773.0ms (13.3%)

Error

Counts

4 → 63

Calls

4 calls:

292.0ms	(.f64 (+.f64 x y) (.f64 z (-.f64 y x)))
184.0ms	(+.f64 (/.f64 (.f64 (+.f64 x y) (.f64 z (-.f64 y x))) (-.f64 y x)) x)
133.0ms	(*.f64 z (-.f64 y x))
129.0ms	(/.f64 (.f64 (+.f64 x y) (.f64 z (-.f64 y x))) (-.f64 y x))

Compiler

Compiled 2116 to 1114 computations (47.4% saved)

simplify605.0ms (10.4%)

Algorithm

1×	egg-herbie

Rules

555×	`associate-*r/_binary64_1043`
470×	`associate-/r*_binary64_1045`
294×	`associate-/r/_binary64_1047`
286×	`associate-/l/_binary64_1048`
239×	`associate-l_binary64_1042` `associate-r_binary64_1041`
176×	`distribute-rgt-in_binary64_1051`
164×	`distribute-lft-in_binary64_1050`
127×	`div-sub_binary64_1106` `distribute-rgt-neg-out_binary64_1061`
119×	`*-commutative_binary64_1032`
114×	`distribute-lft-neg-out_binary64_1060`
96×	`associate-/l*_binary64_1046`
73×	`times-frac_binary64_1107`
58×	`sub-neg_binary64_1094`
57×	`cancel-sign-sub-inv_binary64_1067`
54×	`distribute-rgt-neg-in_binary64_1059`
44×	`associate-*l/_binary64_1044`
40×	`sqr-pow_binary64_1073`
35×	`distribute-lft-neg-in_binary64_1058`
34×	`neg-sub0_binary64_1096`
33×	`exp-prod_binary64_1153` `*-rgt-identity_binary64_1091`
32×	`+-commutative_binary64_1031`
26×	`cube-prod_binary64_1129` `neg-mul-1_binary64_1097`
24×	`log-div_binary64_1188` `distribute-neg-frac_binary64_1065`
23×	`cube-div_binary64_1130` `unsub-neg_binary64_1095`
22×	`log-prod_binary64_1187` `exp-sum_binary64_1147`
21×	`*-lft-identity_binary64_1090` `distribute-rgt-out_binary64_1054`
19×	`swap-sqr_binary64_1068`
17×	`unswap-sqr_binary64_1069` `distribute-neg-in_binary64_1062`
16×	`difference-of-squares_binary64_1070`
14×	`pow-sqr_binary64_1074` `associate-+l+_binary64_1034`
10×	`distribute-rgt-out--_binary64_1055`
9×	`/-rgt-identity_binary64_1092`
8×	`unpow3_binary64_1167` `distribute-lft-out_binary64_1052`
6×	`pow-plus_binary64_1164` `cube-unmult_binary64_1138` `cube-mult_binary64_1131` `associate-+r+_binary64_1033`
5×	`exp-diff_binary64_1149` `associate--l+_binary64_1038` `associate-+r-_binary64_1035`
3×	`+-rgt-identity_binary64_1086` `*-inverses_binary64_1081` `distribute-frac-neg_binary64_1064` `associate-+l-_binary64_1036`
2×	`log-rec_binary64_1189` `unpow2_binary64_1166` `unpow1_binary64_1159` `prod-exp_binary64_1150` `mul-1-neg_binary64_1093` `distribute-neg-out_binary64_1063` `distribute-rgt1-in_binary64_1057`
1×	`pow-base-1_binary64_1161` `exp-sqrt_binary64_1154` `div-exp_binary64_1152` `rec-exp_binary64_1151` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `rem-log-exp_binary64_1142` `rem-3cbrt-lft_binary64_1126` `rem-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `remove-double-neg_binary64_1089` `associate--r-_binary64_1040` `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` `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` `exp-neg_binary64_1148` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-exp-log_binary64_1141` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `+-inverses_binary64_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-lft1-in_binary64_1056` `distribute-lft-out--_binary64_1053` `count-2_binary64_1049` `associate--l-_binary64_1039`

Counts

185 → 502

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	3122
1	615	2425
2	2358	2404

prune415.0ms (7.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	502	0	502
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	502	3	505

Error

Counts

505 → 3

Compiler

Compiled 12163 to 1792 computations (85.3% saved)

regimes302.0ms (5.2%)

Accuracy

Total 0.0b remaining (94.5%)

Threshold costs 0.0b (94.5%)

Compiler

Compiled 2272 to 1870 computations (17.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	14	16

Proof

(+ f64 h0 (=> (+ f64 (+ f64 (* f64 h1 h0) (* f64 h2 h1)) h2)))
+-commutative_binary64_1031 =>
(+ f64 h0 (+ f64 h2 (+ f64 (* f64 h1 h0) (=> (* f64 h2 h1)))))
*-commutative_binary64_1032 =>
(+ f64 h0 (+ f64 h2 (+ f64 (=> (* f64 h1 h0)) (* f64 h1 h2))))
*-commutative_binary64_1032 =>
(+ f64 h0 (+ f64 h2 (+ f64 (* f64 h0 h1) (* f64 h1 h2))))

end0.0ms (0%)

sample865.0ms (14.8%)

Algorithm

1×

intervals

Results

196.0ms	7998×	body	128	valid
13.0ms	583×	body	128	invalid
0.0ms	2×	body	1024	valid

Compiler

Compiled 362 to 295 computations (18.5% saved)

Details

analyze282.0ms (4.8%)

sample18.0ms (0.3%)

simplify701.0ms (12%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite42.0ms (0.7%)

series179.0ms (3.1%)

simplify177.0ms (3%)

prune92.0ms (1.6%)

localize6.0ms (0.1%)

rewrite41.0ms (0.7%)

series309.0ms (5.3%)

simplify127.0ms (2.2%)

prune57.0ms (1%)

localize7.0ms (0.1%)

rewrite32.0ms (0.6%)

series341.0ms (5.8%)

simplify142.0ms (2.4%)

prune102.0ms (1.7%)

localize12.0ms (0.2%)

rewrite191.0ms (3.3%)

series773.0ms (13.3%)

simplify605.0ms (10.4%)

prune415.0ms (7.1%)

regimes302.0ms (5.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample865.0ms (14.8%)

Profiling