Details

Time bar (total: 4.8s)

analyze38.0ms (0.8%)

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)

sample810.0ms (17%)

Results
782.0ms8256×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
16.9b
Counts
2 → 1
Alt Table
StatusErrorProgram
16.9b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 24 to 18 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 g (*.f64 2 a))
16.4b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

series409.0ms (8.6%)

Counts
2 → 48
Calls

2 calls:

402.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
7.0ms
(/.f64 g (*.f64 2 a))

rewrite6.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
*-un-lft-identity_binary64
times-frac_binary64
Counts
2 → 41
Calls

2 calls:

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

simplify77.0ms (1.6%)

Algorithm
egg-herbie
Rules
729×associate-/r/_binary64
549×fma-def_binary64
530×associate-*l*_binary64
394×associate-*r*_binary64
317×fma-neg_binary64
Counts
89 → 74
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01051134
11991089
24901064
31729928
43552872
54609872
64975872

prune57.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New631174
Fresh000
Picked101
Done000
Total641175
Error
0.2b
Counts
75 → 11
Alt Table
StatusErrorProgram
16.7b
(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
1.0b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
0.9b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
16.8b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
39.6b
(cbrt.f64 (/.f64 (sqrt.f64 g) (/.f64 (*.f64 2 a) (sqrt.f64 g))))
17.1b
(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))) 2) (cbrt.f64 (/.f64 g (*.f64 a 2)))))
17.5b
(*.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)))))
41.3b
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
35.1b
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
4.2b
(*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
17.3b
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
Compiler

Compiled 1120 to 782 computations (30.2% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series462.0ms (9.7%)

Counts
3 → 48
Calls

3 calls:

399.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
34.0ms
(cbrt.f64 (/.f64 1/2 a))
29.0ms
(cbrt.f64 g)

rewrite14.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod_binary64
35×add-sqr-sqrt_binary64
21×*-un-lft-identity_binary64
21×add-cube-cbrt_binary64
20×times-frac_binary64
Counts
3 → 80
Calls

3 calls:

8.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
2.0ms
(cbrt.f64 (/.f64 1/2 a))
1.0ms
(cbrt.f64 g)

simplify83.0ms (1.8%)

Algorithm
egg-herbie
Rules
521×exp-sum_binary64
480×*-commutative_binary64
376×fma-neg_binary64
371×associate-*l*_binary64
306×associate-*r*_binary64
Counts
128 → 116
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01501729
12601725
26551660
316441530
439071502
551541502

prune86.0ms (1.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New10313116
Fresh5510
Picked011
Done000
Total10819127
Error
0.0b
Counts
127 → 19
Alt Table
StatusErrorProgram
1.1b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
1.4b
(*.f64 (cbrt.f64 g) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))))
16.7b
(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
34.5b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/2 (sqrt.f64 a)))))
0.9b
(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
1.1b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 a)))))
35.1b
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
0.9b
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
4.2b
(*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
1.2b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))))
17.3b
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
1.1b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 a) (cbrt.f64 a))))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a))))
17.5b
(*.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)))))
1.5b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
1.1b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
1.1b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
1.1b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (*.f64 (cbrt.f64 a) (cbrt.f64 a))))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) (cbrt.f64 a))))
0.9b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
1.1b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
Compiler

Compiled 2158 to 1453 computations (32.7% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
0.5b
(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
0.6b
(cbrt.f64 g)
0.6b
(cbrt.f64 a)

series480.0ms (10.1%)

Counts
3 → 48
Calls

3 calls:

409.0ms
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
37.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
34.0ms
(cbrt.f64 a)

rewrite13.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64
19×cbrt-prod_binary64
12×*-un-lft-identity_binary64
12×add-cube-cbrt_binary64
10×add-exp-log_binary64
Counts
3 → 72
Calls

3 calls:

4.0ms
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
4.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
2.0ms
(cbrt.f64 a)

simplify77.0ms (1.6%)

Algorithm
egg-herbie
Rules
876×times-frac_binary64
474×associate-/l*_binary64
338×associate-*l*_binary64
287×associate-*r*_binary64
231×associate-/r*_binary64
Counts
120 → 124
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01361629
12661546
28581496
340461340
449681340

prune98.0ms (2.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1375142
Fresh71017
Picked101
Done011
Total14516161
Error
0.0b
Counts
161 → 16
Alt Table
StatusErrorProgram
1.1b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 a) (cbrt.f64 a))))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a))))
1.1b
(/.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g))) (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 1/2))) (cbrt.f64 a))
1.1b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
1.4b
(*.f64 (cbrt.f64 g) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))))
16.7b
(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
1.1b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 a)))))
35.1b
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
0.9b
(*.f64 (/.f64 (cbrt.f64 g) 1) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
4.2b
(*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
1.0b
(/.f64 (*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 a))
34.6b
(*.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 a))) (/.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 a))))
1.1b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
1.5b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
1.1b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
0.9b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
1.6b
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a))) (cbrt.f64 (cbrt.f64 a))))
Compiler

Compiled 2280 to 1384 computations (39.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (/.f64 (cbrt.f64 g) 1) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
0.4b
(/.f64 (cbrt.f64 1/2) (cbrt.f64 a))
0.6b
(cbrt.f64 g)
0.6b
(cbrt.f64 a)

series458.0ms (9.6%)

Counts
2 → 36
Calls

2 calls:

407.0ms
(*.f64 (/.f64 (cbrt.f64 g) 1) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
51.0ms
(/.f64 (cbrt.f64 1/2) (cbrt.f64 a))

rewrite39.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
148×add-sqr-sqrt_binary64
130×times-frac_binary64
117×cbrt-prod_binary64
78×*-un-lft-identity_binary64
68×add-cube-cbrt_binary64
Counts
2 → 173
Calls

2 calls:

19.0ms
(*.f64 (/.f64 (cbrt.f64 g) 1) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
3.0ms
(/.f64 (cbrt.f64 1/2) (cbrt.f64 a))

simplify178.0ms (3.7%)

Algorithm
egg-herbie
Rules
506×associate-/l/_binary64
437×fma-neg_binary64
360×associate-*l/_binary64
359×associate-/r/_binary64
315×associate-*l*_binary64
Counts
209 → 258
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02134207
14494028
213203983
330863726
438393669
548183669
650013669

prune175.0ms (3.7%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New2931294
Fresh01414
Picked011
Done011
Total29317310
Error
0.0b
Counts
310 → 17
Alt Table
StatusErrorProgram
1.1b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 a) (cbrt.f64 a))))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a))))
1.1b
(/.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g))) (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 1/2))) (cbrt.f64 a))
1.1b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
1.4b
(*.f64 (cbrt.f64 g) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))))
16.7b
(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
1.1b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 a)))))
35.1b
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
0.9b
(*.f64 (/.f64 (cbrt.f64 g) 1) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
4.2b
(*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
1.0b
(/.f64 (*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 a))
34.6b
(*.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 a))) (/.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 a))))
1.1b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
1.5b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
1.1b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
34.5b
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 1/2)) (/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 a)))) (/.f64 (sqrt.f64 (cbrt.f64 1/2)) (sqrt.f64 (cbrt.f64 a))))
0.9b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
1.6b
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a))) (cbrt.f64 (cbrt.f64 a))))
Compiler

Compiled 5625 to 3459 computations (38.5% saved)

regimes971.0ms (20.4%)

Accuracy

Total 0.8b remaining (92.7%)

Threshold costs 0.8b (92.7%)

Counts
182 → 1
Compiler

Compiled 13881 to 10726 computations (22.7% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
1911
2911

end199.0ms (4.2%)

Compiler

Compiled 286 to 210 computations (26.6% saved)

Profiling

Loading profile data...