Details

Time bar (total: 1.1s)

analyze15.0ms (1.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
75%25%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample14.0ms (1.2%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify6.0ms (0.6%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
1-exp_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1104
284

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(+.f64 x 1/3)
Compiler

Compiled 17 to 13 computations (23.5% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x 1/3)

series1.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

1.0ms
(+.f64 x 1/3)

rewrite3.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-log-exp_binary64
fma-def_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
Counts
1 → 17
Calls

1 calls:

2.0ms
(+.f64 x 1/3)

simplify74.0ms (6.7%)

Algorithm
egg-herbie
Rules
482×fma-def_binary64
459×neg-mul-1_binary64
410×neg-sub0_binary64
374×unswap-sqr_binary64
336×distribute-lft-out_binary64
Counts
29 → 28
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030148
169139
2120137
3242136
4533136
51263136
61920136
73477136
84449136
94948136

prune15.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New26228
Fresh000
Picked011
Done000
Total26329
Error
0b
Counts
29 → 3
Alt Table
StatusErrorProgram
33.6b
(log.f64 (*.f64 (exp.f64 x) (exp.f64 1/3)))
19.3b
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
0.0b
(+.f64 x 1/3)
Compiler

Compiled 230 to 174 computations (24.3% saved)

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (+.f64 x 1/3))
0.0b
(+.f64 x 1/3)
1.5b
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))

series4.0ms (0.4%)

Counts
2 → 24
Calls

2 calls:

3.0ms
(log1p.f64 (+.f64 x 1/3))
1.0ms
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))

rewrite1.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
expm1-log1p-u_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
2 → 22
Calls

2 calls:

0.0ms
(log1p.f64 (+.f64 x 1/3))
0.0ms
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))

simplify74.0ms (6.7%)

Algorithm
egg-herbie
Rules
678×fma-neg_binary64
514×cancel-sign-sub-inv_binary64
492×fma-def_binary64
432×sub-neg_binary64
419×times-frac_binary64
Counts
46 → 60
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070407
1158358
2399352
3957348
42832348
54401348
65060348

prune38.0ms (3.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New88088
Fresh011
Picked011
Done011
Total88391
Error
0b
Counts
91 → 3
Alt Table
StatusErrorProgram
33.6b
(log.f64 (*.f64 (exp.f64 x) (exp.f64 1/3)))
19.3b
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
0.0b
(+.f64 x 1/3)
Compiler

Compiled 865 to 704 computations (18.6% saved)

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (exp.f64 x) (exp.f64 1/3))
0.5b
(log.f64 (*.f64 (exp.f64 x) (exp.f64 1/3)))

series276.0ms (24.8%)

Counts
2 → 24
Calls

2 calls:

269.0ms
(log.f64 (*.f64 (exp.f64 x) (exp.f64 1/3)))
6.0ms
(*.f64 (exp.f64 x) (exp.f64 1/3))

rewrite10.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
pow1_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
2 → 36
Calls

2 calls:

5.0ms
(*.f64 (exp.f64 x) (exp.f64 1/3))
4.0ms
(log.f64 (*.f64 (exp.f64 x) (exp.f64 1/3)))

simplify92.0ms (8.3%)

Algorithm
egg-herbie
Rules
710×fma-def_binary64
484×distribute-rgt-in_binary64
473×unswap-sqr_binary64
446×distribute-lft-out_binary64
427×*-commutative_binary64
Counts
60 → 64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
066448
1131417
2332409
3815397
42183396
53229396
64239396
74981396
84765396

prune27.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh000
Picked011
Done022
Total64367
Error
0b
Counts
67 → 3
Alt Table
StatusErrorProgram
33.6b
(log.f64 (*.f64 (exp.f64 x) (exp.f64 1/3)))
19.3b
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
0.0b
(+.f64 x 1/3)
Compiler

Compiled 638 to 478 computations (25.1% saved)

regimes18.0ms (1.6%)

Accuracy

Total 0.0b remaining (45.2%)

Threshold costs 0.0b (45.2%)

Counts
8 → 1
Compiler

Compiled 94 to 76 computations (19.1% saved)

simplify2.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1104
284

end0.0ms (0%)

Compiler

Compiled 4 to 3 computations (25% saved)

sample424.0ms (38.3%)

Algorithm
intervals
Results
175.0ms8000×body128valid
Compiler

Compiled 29 to 24 computations (17.2% saved)

Profiling

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