Details

Time bar (total: 4.4s)

analyze40.0ms (0.9%)

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)

sample38.0ms (0.9%)

Algorithm
intervals
Results
13.0ms256×body128valid
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify7.0ms (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
21.6b
Counts
2 → 1
Alt Table
StatusErrorProgram
21.6b
(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
21.1b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

series444.0ms (10.1%)

Counts
1 → 24
Calls

1 calls:

444.0ms
(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 (1.6%)

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

prune32.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New31738
Fresh000
Picked011
Done000
Total31839
Error
0.2b
Counts
39 → 8
Alt Table
StatusErrorProgram
36.8b
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
21.6b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
6.2b
(*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
44.8b
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))))
0.8b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
21.7b
(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)))))
21.6b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
Compiler

Compiled 641 to 464 computations (27.6% saved)

localize6.0ms (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))

series488.0ms (11.1%)

Counts
3 → 48
Calls

3 calls:

423.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
35.0ms
(cbrt.f64 (/.f64 1/2 a))
30.0ms
(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)

simplify86.0ms (2%)

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

prune95.0ms (2.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New10313116
Fresh156
Picked101
Done101
Total10618124
Error
0.0b
Counts
124 → 18
Alt Table
StatusErrorProgram
0.9b
(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
0.9b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
6.2b
(*.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 1 (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a)))))
44.8b
(*.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 (/.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a) (cbrt.f64 a))))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 a))))
1.0b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))
1.2b
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g))) (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (/.f64 1/2 a))))
1.5b
(*.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)))))
31.7b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/2 (sqrt.f64 a)))))
0.9b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
0.8b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
1.2b
(*.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))))
21.7b
(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)))))
1.5b
(*.f64 (*.f64 (cbrt.f64 g) (*.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))))
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)))))
21.6b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
0.8b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
Compiler

Compiled 2161 to 1462 computations (32.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series593.0ms (13.5%)

Counts
3 → 48
Calls

3 calls:

491.0ms
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
66.0ms
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
35.0ms
(cbrt.f64 (/.f64 -1 a))

rewrite21.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod_binary64
36×add-sqr-sqrt_binary64
22×associate-*l*_binary64
22×*-un-lft-identity_binary64
22×add-cube-cbrt_binary64
Counts
3 → 92
Calls

3 calls:

8.0ms
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
7.0ms
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
2.0ms
(cbrt.f64 (/.f64 -1 a))

simplify97.0ms (2.2%)

Algorithm
egg-herbie
Rules
794×times-frac_binary64
711×fma-def_binary64
353×*-commutative_binary64
297×exp-sum_binary64
150×associate-/l*_binary64
Counts
140 → 144
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01702212
13102205
27532153
313571933
430671892
550601892

prune134.0ms (3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New1593162
Fresh01717
Picked101
Done000
Total16020180
Error
0.0b
Counts
180 → 20
Alt Table
StatusErrorProgram
0.9b
(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
0.9b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
6.2b
(*.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 1 (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a)))))
44.8b
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))))
1.2b
(*.f64 (cbrt.f64 g) (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 (/.f64 -1 a)))) (cbrt.f64 -1/2)))
1.1b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a) (cbrt.f64 a))))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 a))))
1.0b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))
0.8b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
0.9b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 -1 a))) (cbrt.f64 -1/2))
1.2b
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g))) (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (/.f64 1/2 a))))
1.5b
(*.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)))))
31.7b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/2 (sqrt.f64 a)))))
0.9b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
1.2b
(*.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))))
21.7b
(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)))))
1.5b
(*.f64 (*.f64 (cbrt.f64 g) (*.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))))
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)))))
21.6b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
1.5b
(*.f64 (cbrt.f64 g) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 a))) (cbrt.f64 (cbrt.f64 (/.f64 -1 a)))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 a))) (cbrt.f64 -1/2))))
Compiler

Compiled 3282 to 2389 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 g)
0.6b
(cbrt.f64 (*.f64 2 a))

series500.0ms (11.4%)

Counts
2 → 36
Calls

2 calls:

464.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
35.0ms
(cbrt.f64 (*.f64 2 a))

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
24×times-frac_binary64
23×cbrt-prod_binary64
19×*-un-lft-identity_binary64
19×add-sqr-sqrt_binary64
19×add-cube-cbrt_binary64
Counts
2 → 59
Calls

2 calls:

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

simplify111.0ms (2.5%)

Algorithm
egg-herbie
Rules
558×fma-def_binary64
438×times-frac_binary64
415×associate-/l/_binary64
378×associate-*l*_binary64
353×associate-/r*_binary64
Counts
95 → 112
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01241680
12051634
23801598
37631452
416891416
543831416
647431416
749161416

prune90.0ms (2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New1255130
Fresh71219
Picked101
Done000
Total13317150
Error
0.0b
Counts
150 → 17
Alt Table
StatusErrorProgram
0.9b
(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
0.9b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
1.2b
(*.f64 (cbrt.f64 g) (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 (/.f64 -1 a)))) (cbrt.f64 -1/2)))
1.1b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a) (cbrt.f64 a))))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 a))))
1.0b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))
1.1b
(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
21.6b
(cbrt.f64 (/.f64 g (*.f64 a 2)))
0.9b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 -1 a))) (cbrt.f64 -1/2))
1.1b
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
1.5b
(*.f64 (cbrt.f64 g) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 a))) (cbrt.f64 (cbrt.f64 (/.f64 -1 a)))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 a))) (cbrt.f64 -1/2))))
6.2b
(*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
0.9b
(*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
1.2b
(*.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))))
1.5b
(*.f64 (*.f64 (cbrt.f64 g) (*.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))))
1.5b
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) (cbrt.f64 (cbrt.f64 (*.f64 a 2))))) (/.f64 (cbrt.f64 g) (cbrt.f64 (cbrt.f64 (*.f64 a 2)))))
21.6b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
0.9b
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
Compiler

Compiled 2043 to 1304 computations (36.2% saved)

regimes810.0ms (18.4%)

Accuracy

Total 0.8b remaining (95%)

Threshold costs 0.8b (95%)

Counts
155 → 1
Compiler

Compiled 12194 to 9374 computations (23.1% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
11414
21314

end0.0ms (0%)

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample688.0ms (15.6%)

Algorithm
intervals
Results
277.0ms8000×body128valid
Compiler

Compiled 293 to 235 computations (19.8% saved)

Profiling

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