Details

Time bar (total: 5.6s)

analyze35.0ms (0.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
74.9%25%0.1%5
74.9%25%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample766.0ms (13.6%)

Results
735.0ms8256×body128valid
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2129
3129

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
15.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
15.1b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 24 to 18 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
14.8b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

series428.0ms (7.6%)

Counts
1 → 24
Calls

1 calls:

428.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite3.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64
*-un-lft-identity_binary64
times-frac_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
Counts
1 → 18
Calls

1 calls:

2.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))

simplify71.0ms (1.3%)

Algorithm
egg-herbie
Rules
809×div-sub_binary64
664×fma-def_binary64
461×fma-neg_binary64
390×times-frac_binary64
300×unswap-sqr_binary64
Counts
42 → 38
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
074709
1117709
2178685
3426549
4960513
52276513
64146513
75010513

prune34.0ms (0.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New29938
Fresh000
Picked011
Done000
Total291039
Error
0.2b
Counts
39 → 10
Alt Table
StatusErrorProgram
0.8b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
15.1b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
36.7b
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
5.1b
(*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
37.9b
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))))
15.5b
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))) (cbrt.f64 (/.f64 g (*.f64 2 a))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
15.7b
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
15.3b
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))) (cbrt.f64 (/.f64 g (*.f64 2 a)))) (cbrt.f64 (/.f64 g (*.f64 2 a)))))
15.1b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
Compiler

Compiled 739 to 538 computations (27.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
0.6b
(cbrt.f64 g)
0.7b
(cbrt.f64 (*.f64 2 a))

series524.0ms (9.3%)

Counts
3 → 48
Calls

3 calls:

456.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
36.0ms
(cbrt.f64 (*.f64 2 a))
31.0ms
(cbrt.f64 g)

rewrite9.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod_binary64
24×times-frac_binary64
21×*-un-lft-identity_binary64
21×add-sqr-sqrt_binary64
21×add-cube-cbrt_binary64
Counts
3 → 72
Calls

3 calls:

3.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
2.0ms
(cbrt.f64 (*.f64 2 a))
1.0ms
(cbrt.f64 g)

simplify89.0ms (1.6%)

Algorithm
egg-herbie
Rules
736×fma-def_binary64
622×associate-/l/_binary64
522×associate-/r*_binary64
330×associate-/r/_binary64
329×associate-*l/_binary64
Counts
120 → 131
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01321821
12221755
24991694
314881558
444231558
550461558

prune113.0ms (2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New11912131
Fresh358
Picked101
Done011
Total12318141
Error
0.0b
Counts
141 → 18
Alt Table
StatusErrorProgram
36.7b
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
1.7b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (cbrt.f64 (*.f64 2 a))))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))))
37.9b
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))))
0.9b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (*.f64 2 a)))))
15.1b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
1.5b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))) (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a))))) (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))
15.5b
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
1.5b
(/.f64 (/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (cbrt.f64 (*.f64 2 a))))) (cbrt.f64 (cbrt.f64 (*.f64 2 a))))
33.1b
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 2)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 a)))
15.1b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
33.5b
(*.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g))) (sqrt.f64 (cbrt.f64 (*.f64 2 a)))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (sqrt.f64 (cbrt.f64 (*.f64 2 a)))))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
1.5b
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
0.8b
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
33.4b
(/.f64 (cbrt.f64 g) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 a))) (sqrt.f64 (cbrt.f64 (*.f64 2 a)))))
5.1b
(*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
1.1b
(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
1.6b
(*.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (cbrt.f64 (*.f64 2 a))))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))))
Compiler

Compiled 2392 to 1556 computations (34.9% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
0.3b
(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
0.6b
(cbrt.f64 g)
0.7b
(cbrt.f64 (*.f64 2 a))

series905.0ms (16.1%)

Counts
2 → 48
Calls

2 calls:

466.0ms
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
438.0ms
(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))

rewrite28.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
204×times-frac_binary64
108×*-un-lft-identity_binary64
108×add-sqr-sqrt_binary64
108×add-cube-cbrt_binary64
94×cbrt-prod_binary64
Counts
2 → 186
Calls

2 calls:

7.0ms
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
3.0ms
(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))

simplify291.0ms (5.2%)

Algorithm
egg-herbie
Rules
498×fma-neg_binary64
382×div-sub_binary64
382×fma-def_binary64
380×exp-sum_binary64
306×associate-/r/_binary64
Counts
234 → 285
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01955363
13424967
27364831
316844488
428514388
543934388
642734384
747924310
848724310
950064310

prune245.0ms (4.4%)

Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New31411325
Fresh61016
Picked101
Done101
Total32221343
Error
0.0b
Counts
343 → 21
Alt Table
StatusErrorProgram
15.5b
(/.f64 1 (/.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a))))
1.3b
(/.f64 1 (*.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)))) (/.f64 (cbrt.f64 a) (cbrt.f64 (cbrt.f64 g)))))
5.1b
(*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
1.5b
(/.f64 1 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) (cbrt.f64 (cbrt.f64 (*.f64 a 2)))) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) (cbrt.f64 g))))
0.9b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (*.f64 2 a)))))
33.7b
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 g)) (/.f64 (sqrt.f64 (cbrt.f64 (*.f64 a 2))) (cbrt.f64 (cbrt.f64 g)))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (sqrt.f64 (cbrt.f64 (*.f64 a 2)))))
37.9b
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))))
0.9b
(/.f64 1 (*.f64 (cbrt.f64 (*.f64 2 a)) (/.f64 1 (cbrt.f64 g))))
1.1b
(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
33.4b
(/.f64 (/.f64 1 (sqrt.f64 (cbrt.f64 (*.f64 a 2)))) (/.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 a))) (cbrt.f64 g)))
15.1b
(cbrt.f64 (/.f64 g (*.f64 a 2)))
15.1b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
33.1b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 g))) (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 (sqrt.f64 g)))))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
1.5b
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
36.7b
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
1.5b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))) (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a))))) (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))
1.5b
(/.f64 1 (*.f64 (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))) (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))) (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))))
15.6b
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 a 2) g)))
1.1b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)))) (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 (cbrt.f64 g)))))
1.6b
(*.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (cbrt.f64 (*.f64 2 a))))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))))
Compiler

Compiled 6598 to 4458 computations (32.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.6b
(cbrt.f64 g)
0.6b
(cbrt.f64 (/.f64 1/2 a))

series467.0ms (8.3%)

Counts
2 → 36
Calls

2 calls:

431.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
36.0ms
(cbrt.f64 (/.f64 1/2 a))

rewrite13.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod_binary64
33×add-sqr-sqrt_binary64
20×times-frac_binary64
19×*-un-lft-identity_binary64
19×add-cube-cbrt_binary64
Counts
2 → 67
Calls

2 calls:

7.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
2.0ms
(cbrt.f64 (/.f64 1/2 a))

simplify108.0ms (1.9%)

Algorithm
egg-herbie
Rules
523×fma-def_binary64
520×fma-neg_binary64
341×div-sub_binary64
324×*-commutative_binary64
269×associate-*l*_binary64
Counts
103 → 117
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01391588
12421588
24981552
38401406
417791374
534681347
643041341
749091341

prune94.0ms (1.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1296135
Fresh11920
Picked011
Done000
Total14016156
Error
0.0b
Counts
156 → 16
Alt Table
StatusErrorProgram
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (cbrt.f64 g)) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
1.5b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))) (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a))))) (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))
0.9b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))))
15.6b
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 a 2) g)))
0.9b
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
0.8b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
1.5b
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
0.9b
(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
1.3b
(/.f64 1 (*.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)))) (/.f64 (cbrt.f64 a) (cbrt.f64 (cbrt.f64 g)))))
5.1b
(*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
37.9b
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))))
1.1b
(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
1.5b
(/.f64 1 (*.f64 (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))) (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))) (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))))
33.1b
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
15.1b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
Compiler

Compiled 2078 to 1375 computations (33.8% saved)

regimes1.2s (20.6%)

Accuracy

Total 0.8b remaining (93.9%)

Threshold costs 0.8b (93.9%)

Counts
205 → 1
Compiler

Compiled 18172 to 14223 computations (21.7% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
11516
21416

end195.0ms (3.5%)

Compiler

Compiled 271 to 204 computations (24.7% saved)

Profiling

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