Details

Time bar (total: 2.0s)

analyze283.0ms (14%)

Algorithm
search
Search
TrueOtherFalseIter
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)

sample16.0ms (0.8%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms13×body128invalid
Compiler

Compiled 15 to 18 computations (-20% saved)

simplify188.0ms (9.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
054210
154210

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite14.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_1109 *-un-lft-identity_binary64_1088
associate-*r*_binary64_1030
frac-times_binary64_1098 associate-*l*_binary64_1031
add-cbrt-cube_binary64_1121 flip3--_binary64_1092 flip--_binary64_1063 add-exp-log_binary64_1123 flip-+_binary64_1062 pow1_binary64_1146 flip3-+_binary64_1091 add-cube-cbrt_binary64_1120
associate-*l/_binary64_1033 sub-neg_binary64_1081 associate-*r/_binary64_1032 difference-of-squares_binary64_1057
*-commutative_binary64_1021 unswap-sqr_binary64_1056 cbrt-unprod_binary64_1118 distribute-rgt-in_binary64_1040 pow-prod-down_binary64_1156 prod-exp_binary64_1134 add-log-exp_binary64_1124 distribute-lft-out_binary64_1041 distribute-lft-out--_binary64_1042 distribute-lft-in_binary64_1039
Counts
1 → 32
Calls

1 calls:

12.0ms
(*.f64 (+.f64 x y) (-.f64 1 z))

series58.0ms (2.8%)

Counts
1 → 3
Calls

1 calls:

58.0ms
(*.f64 (+.f64 x y) (-.f64 1 z))

simplify51.0ms (2.5%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05049530

prune29.0ms (1.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New33235
Fresh000
Picked101
Done000
Total34236

Merged error: 0b

Counts
36 → 2
Compiler

Compiled 514 to 259 computations (49.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite22.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
10×associate-*r*_binary64_1030
add-sqr-sqrt_binary64_1109 *-un-lft-identity_binary64_1088
add-log-exp_binary64_1124
associate-*l/_binary64_1033 flip-+_binary64_1062 flip3-+_binary64_1091 add-cube-cbrt_binary64_1120
frac-add_binary64_1096 add-cbrt-cube_binary64_1121 add-exp-log_binary64_1123 associate-*l*_binary64_1031 pow1_binary64_1146
sum-log_binary64_1176 distribute-rgt-neg-in_binary64_1048 distribute-lft-neg-in_binary64_1047
distribute-rgt-neg-out_binary64_1050
*-commutative_binary64_1021 unswap-sqr_binary64_1056 cbrt-unprod_binary64_1118 associate-+l+_binary64_1023 +-commutative_binary64_1020 pow-prod-down_binary64_1156 prod-exp_binary64_1134 neg-mul-1_binary64_1084 distribute-lft-out_binary64_1041 unsub-neg_binary64_1082
Counts
2 → 47
Calls

2 calls:

11.0ms
(*.f64 (+.f64 x y) (neg.f64 z))
8.0ms
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))

series134.0ms (6.6%)

Counts
2 → 6
Calls

2 calls:

70.0ms
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
64.0ms
(*.f64 (+.f64 x y) (neg.f64 z))

simplify59.0ms (2.9%)

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05159787

prune37.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New53053
Fresh011
Picked011
Done000
Total53255

Merged error: 0b

Counts
55 → 2
Compiler

Compiled 833 to 246 computations (70.5% saved)

localize15.0ms (0.7%)

Local error

Found 4 expressions with local error:

1.6b
(-.f64 (*.f64 y y) (*.f64 x y))
1.6b
(+.f64 (*.f64 x x) (-.f64 (*.f64 y y) (*.f64 x y)))
2.6b
(+.f64 (pow.f64 x 3) (pow.f64 y 3))
35.7b
(/.f64 (*.f64 (-.f64 1 z) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 y y) (*.f64 x y))))

rewrite63.0ms (3.1%)

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity_binary64_1088
13×add-log-exp_binary64_1124
add-cbrt-cube_binary64_1121 add-exp-log_binary64_1123
associate-/l/_binary64_1037
add-sqr-sqrt_binary64_1109 flip-+_binary64_1062 flip3-+_binary64_1091 add-cube-cbrt_binary64_1120
distribute-lft-out_binary64_1041
cube-prod_binary64_1113 unpow-prod-down_binary64_1164 flip3--_binary64_1092 frac-times_binary64_1098 flip--_binary64_1063 pow1_binary64_1146
associate-/r*_binary64_1034 sum-log_binary64_1176 times-frac_binary64_1094
associate-*l/_binary64_1033 sub-neg_binary64_1081 associate-/r/_binary64_1036 div-exp_binary64_1136 +-commutative_binary64_1020 diff-log_binary64_1177 cbrt-undiv_binary64_1119 associate-*r/_binary64_1032
clear-num_binary64_1087 frac-2neg_binary64_1099 cbrt-unprod_binary64_1118 distribute-rgt-out--_binary64_1044 associate-+r-_binary64_1024 associate-+r+_binary64_1022 sum-cubes_binary64_1089 prod-exp_binary64_1134 associate-/l*_binary64_1035 div-inv_binary64_1085
Counts
4 → 74
Calls

4 calls:

27.0ms
(/.f64 (*.f64 (-.f64 1 z) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 y y) (*.f64 x y))))
16.0ms
(+.f64 (pow.f64 x 3) (pow.f64 y 3))
7.0ms
(+.f64 (*.f64 x x) (-.f64 (*.f64 y y) (*.f64 x y)))
4.0ms
(-.f64 (*.f64 y y) (*.f64 x y))

series371.0ms (18.3%)

Counts
4 → 12
Calls

4 calls:

232.0ms
(/.f64 (*.f64 (-.f64 1 z) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 y y) (*.f64 x y))))
57.0ms
(+.f64 (pow.f64 x 3) (pow.f64 y 3))
46.0ms
(-.f64 (*.f64 y y) (*.f64 x y))
36.0ms
(+.f64 (*.f64 x x) (-.f64 (*.f64 y y) (*.f64 x y)))

simplify66.0ms (3.3%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
060371830

prune101.0ms (5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh000
Picked011
Done011
Total86288

Merged error: 0b

Counts
88 → 2
Compiler

Compiled 2463 to 1116 computations (54.7% saved)

regimes43.0ms (2.1%)

Compiler

Compiled 183 to 156 computations (14.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05113
15113

end0.0ms (0%)

sample458.0ms (22.6%)

Algorithm
intervals
Results
196.0ms7998×body128valid
13.0ms576×body128invalid
0.0msbody1024valid
0.0msbody256valid
Compiler

Compiled 50 to 41 computations (18% saved)

Profiling

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