Details

Time bar (total: 1.3s)

analyze65.0ms (5.1%)

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
50%50%0.1%5
56.2%43.7%0.1%6
71.8%28.1%0.1%7
73.4%25%1.7%8
80.4%16.4%3.2%9
80.8%14%5.2%10
84.1%8.8%7.1%11
84.2%7.4%8.4%12
85.8%4.5%9.7%13
85.8%3.8%10.4%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample27.0ms (2.1%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify9.0ms (0.7%)

Algorithm
egg-herbie
Rules
associate-/r*_binary64
*-commutative_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2117
3117

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.2b
(/.f64 x (*.f64 y 3))
Compiler

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 x (*.f64 y 3))

series6.0ms (0.5%)

Counts
1 → 24
Calls

1 calls:

6.0ms
(/.f64 x (*.f64 y 3))

rewrite4.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
associate-/l*_binary64
*-un-lft-identity_binary64
times-frac_binary64
Counts
1 → 23
Calls

1 calls:

4.0ms
(/.f64 x (*.f64 y 3))

simplify112.0ms (8.7%)

Algorithm
egg-herbie
Rules
792×associate-/r/_binary64
775×fma-neg_binary64
733×div-sub_binary64
652×associate-/l*_binary64
645×fma-def_binary64
Counts
47 → 35
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054431
1114382
2323382
3996382
41835382
51973382
62494382
73625382
83673382
93774382
104124382
114359382
124669382

prune24.0ms (1.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New29635
Fresh000
Picked101
Done000
Total30636
Error
0b
Counts
36 → 6
Alt Table
StatusErrorProgram
0.3b
(*.f64 (/.f64 1 y) (/.f64 x 3))
31.1b
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))
1.2b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) 3))
0.3b
(*.f64 1/3 (/.f64 x y))
0.3b
(*.f64 x (/.f64 1 (*.f64 y 3)))
0.7b
(/.f64 1 (/.f64 y (/.f64 x 3)))
Compiler

Compiled 453 to 284 computations (37.3% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(*.f64 1/3 (/.f64 x y))

series7.0ms (0.6%)

Counts
1 → 0
Calls

1 calls:

7.0ms
(*.f64 1/3 (/.f64 x y))

rewrite6.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×times-frac_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
1 → 34
Calls

1 calls:

5.0ms
(*.f64 1/3 (/.f64 x y))

simplify103.0ms (8%)

Algorithm
egg-herbie
Rules
907×associate-/l/_binary64
791×times-frac_binary64
407×associate-/l*_binary64
344×pow-sqr_binary64
338×associate-*l/_binary64
Counts
34 → 41
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072381
1156345
2389344
3850344
41898344
52022344
62194344
72429344
82952344
93249344
104848344
114927344
124924344

prune24.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New40141
Fresh145
Picked011
Done000
Total41647
Error
0b
Counts
47 → 6
Alt Table
StatusErrorProgram
0.3b
(*.f64 (/.f64 1 y) (/.f64 x 3))
1.2b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) 3))
0.3b
(*.f64 1/3 (/.f64 x y))
0.3b
(*.f64 x (/.f64 1 (*.f64 y 3)))
0.7b
(/.f64 1 (/.f64 y (/.f64 x 3)))
0.3b
(/.f64 (*.f64 1/3 x) y)
Compiler

Compiled 560 to 305 computations (45.5% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x (/.f64 1 (*.f64 y 3)))
0.2b
(/.f64 1 (*.f64 y 3))

series10.0ms (0.7%)

Counts
2 → 36
Calls

2 calls:

8.0ms
(*.f64 x (/.f64 1 (*.f64 y 3)))
2.0ms
(/.f64 1 (*.f64 y 3))

rewrite11.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
32×add-exp-log_binary64
16×add-cbrt-cube_binary64
13×prod-exp_binary64
add-sqr-sqrt_binary64
div-exp_binary64
Counts
2 → 64
Calls

2 calls:

6.0ms
(*.f64 x (/.f64 1 (*.f64 y 3)))
3.0ms
(/.f64 1 (*.f64 y 3))

simplify97.0ms (7.6%)

Algorithm
egg-herbie
Rules
750×associate-/l/_binary64
529×sqr-pow_binary64
383×fma-def_binary64
321×*-commutative_binary64
319×pow-sqr_binary64
Counts
100 → 91
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080829
1163656
2477655
31661655
41885655
52096655
62529655
73087655
83663655
95126655

prune49.0ms (3.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh044
Picked011
Done011
Total91697
Error
0b
Counts
97 → 6
Alt Table
StatusErrorProgram
0.3b
(*.f64 (/.f64 1 y) (/.f64 x 3))
1.2b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) 3))
0.3b
(*.f64 1/3 (/.f64 x y))
0.3b
(*.f64 x (/.f64 1 (*.f64 y 3)))
0.7b
(/.f64 1 (/.f64 y (/.f64 x 3)))
0.3b
(/.f64 (*.f64 1/3 x) y)
Compiler

Compiled 1111 to 800 computations (28% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (/.f64 1 y) (/.f64 x 3))

series7.0ms (0.6%)

Counts
1 → 24
Calls

1 calls:

7.0ms
(*.f64 (/.f64 1 y) (/.f64 x 3))

rewrite12.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64
25×times-frac_binary64
23×add-exp-log_binary64
17×*-un-lft-identity_binary64
15×add-cube-cbrt_binary64
Counts
1 → 58
Calls

1 calls:

8.0ms
(*.f64 (/.f64 1 y) (/.f64 x 3))

simplify102.0ms (7.9%)

Algorithm
egg-herbie
Rules
1079×associate-/l/_binary64
509×sqr-pow_binary64
303×associate-*l/_binary64
295×*-commutative_binary64
292×pow-sqr_binary64
Counts
82 → 94
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0104927
1246803
2729803
31704803
41956803
52273803
62651803
73006803
83463803
95290803

prune55.0ms (4.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New93194
Fresh213
Picked011
Done022
Total955100
Error
0b
Counts
100 → 5
Alt Table
StatusErrorProgram
0.3b
(*.f64 (/.f64 1 y) (/.f64 x 3))
0.3b
(*.f64 1/3 (/.f64 x y))
0.7b
(*.f64 (/.f64 (/.f64 1 y) (sqrt.f64 3)) (/.f64 x (sqrt.f64 3)))
0.3b
(*.f64 x (/.f64 1 (*.f64 y 3)))
0.7b
(/.f64 1 (/.f64 y (/.f64 x 3)))
Compiler

Compiled 1316 to 904 computations (31.3% saved)

regimes79.0ms (6.1%)

Accuracy

Total 0.3b remaining (94.4%)

Threshold costs 0.3b (94.4%)

Counts
15 → 1
Compiler

Compiled 850 to 616 computations (27.5% saved)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
167

end0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample458.0ms (35.6%)

Algorithm
intervals
Results
200.0ms8000×body128valid
7.0ms215×body128invalid
Compiler

Compiled 64 to 50 computations (21.9% saved)

Profiling

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