Details

Time bar (total: 33.3s)

analyze1.9s (5.7%)

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
0%99.9%0.1%7
0%99.9%0.1%8
0%99.9%0.1%9
0%99.9%0.1%10
0%99.9%0.1%11
0%99.9%0.1%12
0%99.9%0.1%13
0%99.9%0.1%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.4s (4.2%)

Results
1.3s8256×body128valid
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify13.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2129

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
14.6b
Counts
2 → 1
Alt Table
StatusErrorProgram
14.6b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 24 to 18 computations (25% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
14.3b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

series705.0ms (2.1%)

Counts
1 → 24
Calls

1 calls:

705.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite5.0ms (0%)

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:

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

simplify12.2s (36.5%)

Algorithm
egg-herbie
Rules
642×fma-def_binary64
383×fma-neg_binary64
218×distribute-rgt-in_binary64
214×associate-*r*_binary64
213×distribute-lft-in_binary64
Counts
42 → 37
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
075709
1126709
2223685
3550549
41682513
54507513

prune67.0ms (0.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New271037
Fresh000
Picked101
Done000
Total281038
Error
0.2b
Counts
38 → 10
Alt Table
StatusErrorProgram
14.7b
(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)))))
14.5b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
37.6b
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
0.9b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
34.7b
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
4.9b
(*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
37.8b
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))))
14.9b
(*.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)))))
0.8b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
15.2b
(*.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)))))
Compiler

Compiled 758 to 539 computations (28.9% saved)

localize10.0ms (0%)

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)
0.6b
(cbrt.f64 (*.f64 2 a))

series1.1s (3.4%)

Counts
3 → 48
Calls

3 calls:

977.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
76.0ms
(cbrt.f64 (*.f64 2 a))
66.0ms
(cbrt.f64 g)

rewrite23.0ms (0.1%)

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:

7.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
7.0ms
(cbrt.f64 (*.f64 2 a))
1.0ms
(cbrt.f64 g)

simplify1.8s (5.5%)

Algorithm
egg-herbie
Rules
823×associate-/l/_binary64
189×fma-def_binary64
179×distribute-lft-in_binary64
179×distribute-rgt-in_binary64
149×associate-/l*_binary64
Counts
120 → 131
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01361821
12361755
25751694
320971558

prune236.0ms (0.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New11615131
Fresh549
Picked101
Done000
Total12219141
Error
0.0b
Counts
141 → 19
Alt Table
StatusErrorProgram
31.7b
(/.f64 (/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (*.f64 2 a)))) (sqrt.f64 (cbrt.f64 (*.f64 2 a))))
1.7b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 2)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 a)))
1.0b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (*.f64 2 a)))))
14.5b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
15.0b
(*.f64 (/.f64 1 (cbrt.f64 2)) (cbrt.f64 (/.f64 g a)))
29.7b
(*.f64 (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))) (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))
14.6b
(cbrt.f64 (/.f64 g (*.f64 a 2)))
4.9b
(*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
31.5b
(/.f64 (*.f64 (sqrt.f64 (cbrt.f64 g)) (sqrt.f64 (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
14.9b
(*.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)))))
0.8b
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
1.4b
(*.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g))) (cbrt.f64 2)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 a)))
1.0b
(/.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
1.2b
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
32.0b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (sqrt.f64 (cbrt.f64 (*.f64 2 a)))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (sqrt.f64 (cbrt.f64 (*.f64 2 a)))))
1.8b
(*.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)))))
0.9b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.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)))))
14.8b
(cbrt.f64 (*.f64 (*.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a))) (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))) (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))
Compiler

Compiled 2461 to 1591 computations (35.4% saved)

localize14.0ms (0%)

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)
0.6b
(cbrt.f64 (*.f64 2 a))

series1.9s (5.6%)

Counts
2 → 48
Calls

2 calls:

931.0ms
(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
923.0ms
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))

rewrite75.0ms (0.2%)

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:

15.0ms
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
7.0ms
(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))

simplify7.6s (22.8%)

Algorithm
egg-herbie
Rules
563×associate-/l*_binary64
543×associate-/r/_binary64
316×associate-/l/_binary64
204×*-commutative_binary64
185×associate-*r*_binary64
Counts
234 → 260
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03045363
14724967
210334831
328954488

prune238.0ms (0.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New28910299
Fresh9918
Picked101
Done000
Total29919318
Error
0.0b
Counts
318 → 19
Alt Table
StatusErrorProgram
31.7b
(/.f64 (/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (*.f64 2 a)))) (sqrt.f64 (cbrt.f64 (*.f64 2 a))))
1.0b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (*.f64 2 a)))))
14.5b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
0.9b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
31.6b
(/.f64 (/.f64 1 (/.f64 (cbrt.f64 2) (sqrt.f64 (cbrt.f64 g)))) (/.f64 (cbrt.f64 a) (sqrt.f64 (cbrt.f64 g))))
29.8b
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))) (/.f64 1 (sqrt.f64 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))))
0.8b
(/.f64 1 (*.f64 (cbrt.f64 (*.f64 2 a)) (/.f64 1 (cbrt.f64 g))))
14.9b
(*.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)))))
31.9b
(/.f64 1 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (sqrt.f64 g)))) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (sqrt.f64 g)))))
0.9b
(/.f64 (/.f64 1 (cbrt.f64 (*.f64 2 a))) (/.f64 1 (cbrt.f64 g)))
1.3b
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 2) 1)) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 g))))
1.5b
(/.f64 (/.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 2 a)))) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) (cbrt.f64 g)))
1.0b
(/.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
15.1b
(/.f64 1 (cbrt.f64 (/.f64 a (*.f64 1/2 g))))
1.8b
(*.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)))))
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)))))
14.6b
(cbrt.f64 (/.f64 g (*.f64 a 2)))
29.7b
(*.f64 (sqrt.f64 (/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))) (sqrt.f64 (/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))))
1.4b
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 2 a))))
Compiler

Compiled 6163 to 4104 computations (33.4% saved)

localize8.0ms (0%)

Local error

Found 4 expressions with local error:

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

series483.0ms (1.5%)

Counts
2 → 36
Calls

2 calls:

434.0ms
(*.f64 (cbrt.f64 (*.f64 2 a)) (/.f64 1 (cbrt.f64 g)))
49.0ms
(/.f64 1 (cbrt.f64 g))

rewrite18.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt_binary64
40×times-frac_binary64
33×*-un-lft-identity_binary64
31×add-cube-cbrt_binary64
24×cbrt-prod_binary64
Counts
2 → 96
Calls

2 calls:

8.0ms
(*.f64 (cbrt.f64 (*.f64 2 a)) (/.f64 1 (cbrt.f64 g)))
3.0ms
(/.f64 1 (cbrt.f64 g))

simplify1.8s (5.4%)

Algorithm
egg-herbie
Rules
412×associate-*l*_binary64
389×associate-*r*_binary64
286×fma-def_binary64
264×*-commutative_binary64
259×associate-/l*_binary64
Counts
132 → 148
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01601883
12881743
26471707
316031518
437201466

prune129.0ms (0.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1861187
Fresh41418
Picked011
Done000
Total19016206
Error
0.0b
Counts
206 → 16
Alt Table
StatusErrorProgram
31.7b
(/.f64 (/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (*.f64 2 a)))) (sqrt.f64 (cbrt.f64 (*.f64 2 a))))
1.0b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (*.f64 2 a)))))
14.5b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
0.9b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
31.6b
(/.f64 (/.f64 1 (/.f64 (cbrt.f64 2) (sqrt.f64 (cbrt.f64 g)))) (/.f64 (cbrt.f64 a) (sqrt.f64 (cbrt.f64 g))))
29.8b
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))) (/.f64 1 (sqrt.f64 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))))
31.9b
(/.f64 1 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (sqrt.f64 g)))) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (sqrt.f64 g)))))
1.3b
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 2) 1)) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 g))))
1.5b
(/.f64 (/.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 2 a)))) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) (cbrt.f64 g)))
1.0b
(/.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
15.1b
(/.f64 1 (cbrt.f64 (/.f64 a (*.f64 1/2 g))))
0.8b
(/.f64 1 (*.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 (/.f64 1 g))))
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)))))
14.6b
(cbrt.f64 (/.f64 g (*.f64 a 2)))
0.8b
(/.f64 1 (*.f64 (cbrt.f64 (*.f64 2 a)) (/.f64 1 (cbrt.f64 g))))
1.4b
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 2 a))))
Compiler

Compiled 3370 to 2405 computations (28.6% saved)

regimes1.4s (4.2%)

Accuracy

Total 0.8b remaining (92.6%)

Threshold costs 0.8b (92.6%)

Counts
210 → 1
Compiler

Compiled 17843 to 13636 computations (23.6% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
*-lft-identity_binary64
1-exp_binary64
+-commutative_binary64
distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11411

soundness0.0ms (0%)

end206.0ms (0.6%)

Compiler

Compiled 287 to 219 computations (23.7% saved)

Profiling

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