Details

Time bar (total: 4.3s)

analyze35.0ms (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)

sample33.0ms (0.8%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 19 to 15 computations (21.1% 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
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)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
14.2b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

series526.0ms (12.2%)

Counts
1 → 24
Calls

1 calls:

526.0ms
(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)))

simplify73.0ms (1.7%)

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

prune35.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New29938
Fresh000
Picked011
Done000
Total291039
Error
0.1b
Counts
39 → 10
Alt Table
StatusErrorProgram
15.0b
(*.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)))))
14.8b
(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)))))
14.6b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
14.6b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
34.4b
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
4.7b
(*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
40.8b
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))))
Compiler

Compiled 739 to 538 computations (27.2% saved)

localize6.0ms (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 (*.f64 2 a))
0.6b
(cbrt.f64 g)

series545.0ms (12.7%)

Counts
3 → 48
Calls

3 calls:

477.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
35.0ms
(cbrt.f64 (*.f64 2 a))
32.0ms
(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)

simplify86.0ms (2%)

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

prune85.0ms (2%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1229131
Fresh448
Picked011
Done011
Total12615141
Error
0.0b
Counts
141 → 15
Alt Table
StatusErrorProgram
15.0b
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
0.8b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
31.9b
(*.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
1.1b
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
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
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
1.5b
(/.f64 (cbrt.f64 g) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
1.4b
(/.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
4.7b
(*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
15.0b
(*.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)))))
32.1b
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 g)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (cbrt.f64 (*.f64 2 a))))) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))))
1.1b
(*.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g))) 1) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 2 a))))
14.6b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
1.0b
(/.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
Compiler

Compiled 2247 to 1443 computations (35.8% saved)

localize6.0ms (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))

series455.0ms (10.6%)

Counts
2 → 36
Calls

2 calls:

419.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
36.0ms
(cbrt.f64 (/.f64 1/2 a))

rewrite14.0ms (0.3%)

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:

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

simplify124.0ms (2.9%)

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 (2.2%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1278135
Fresh8412
Picked011
Done022
Total13515150
Error
0.0b
Counts
150 → 15
Alt Table
StatusErrorProgram
15.0b
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
0.8b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
1.1b
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
35.0b
(*.f64 (*.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (/.f64 1/2 a)))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))))
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))))
1.4b
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (/.f64 1/2 a))))
0.9b
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 g)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
0.9b
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
35.1b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (sqrt.f64 a)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 a))))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
31.9b
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
14.6b
(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
14.6b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
14.6b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
4.7b
(*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
Compiler

Compiled 2185 to 1451 computations (33.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series515.0ms (12%)

Counts
3 → 48
Calls

3 calls:

443.0ms
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
40.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
32.0ms
(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:

5.0ms
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
4.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
1.0ms
(cbrt.f64 a)

simplify78.0ms (1.8%)

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

prune92.0ms (2.1%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1357142
Fresh4711
Picked101
Done123
Total14116157
Error
0b
Counts
157 → 16
Alt Table
StatusErrorProgram
15.0b
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
0.8b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
32.0b
(/.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 a))
1.1b
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
35.0b
(*.f64 (*.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (/.f64 1/2 a)))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))))
0.8b
(/.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 a) (cbrt.f64 1/2)))
14.6b
(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
31.9b
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 g)) (*.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 1/2))) (cbrt.f64 a))
1.4b
(/.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))))
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))))
0.9b
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 g)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
14.6b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
0.9b
(/.f64 1 (/.f64 (cbrt.f64 a) (*.f64 (cbrt.f64 g) (cbrt.f64 1/2))))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
35.2b
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (*.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 (sqrt.f64 a))))
1.0b
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 a)) (cbrt.f64 a))))
Compiler

Compiled 2004 to 1184 computations (40.9% saved)

regimes764.0ms (17.8%)

Accuracy

Total 0.8b remaining (93.7%)

Threshold costs 0.8b (93.7%)

Counts
135 → 1
Compiler

Compiled 10401 to 7909 computations (24% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
11516
21416

end1.0ms (0%)

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample681.0ms (15.9%)

Algorithm
intervals
Results
270.0ms8000×body128valid
Compiler

Compiled 234 to 174 computations (25.6% saved)

Profiling

Loading profile data...