Details

Time bar (total: 1.2s)

analyze4.0ms (0.3%)

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

Compiled 7 to 6 computations (14.3% saved)

sample735.0ms (59%)

Results
707.0ms8256×body128valid
Compiler

Compiled 20 to 17 computations (15% saved)

simplify6.0ms (0.5%)

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)

localize3.0ms (0.2%)

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 (0.2%)

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)

simplify73.0ms (5.8%)

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

prune14.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New26228
Fresh000
Picked011
Done000
Total26329
Error
0.0b
Counts
29 → 3
Alt Table
StatusErrorProgram
19.6b
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (-.f64 x 1/3) 1/9))
15.5b
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
0.0b
(+.f64 x 1/3)
Compiler

Compiled 242 to 182 computations (24.8% saved)

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (+.f64 x 1/3))
0.0b
(+.f64 x 1/3)
1.2b
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))

series4.0ms (0.3%)

Counts
2 → 24
Calls

2 calls:

2.0ms
(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)))

simplify61.0ms (4.9%)

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

prune39.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New87188
Fresh101
Picked011
Done011
Total88391
Error
0.0b
Counts
91 → 3
Alt Table
StatusErrorProgram
15.5b
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
0.0b
(+.f64 x 1/3)
16.3b
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 1/3 x)) 3)))
Compiler

Compiled 869 to 708 computations (18.5% saved)

localize9.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1/3 x)
0.1b
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 1/3 x)) 3))
1.0b
(pow.f64 (log1p.f64 (+.f64 1/3 x)) 3)
1.2b
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 1/3 x)) 3)))

series19.0ms (1.5%)

Counts
4 → 39
Calls

4 calls:

14.0ms
(pow.f64 (log1p.f64 (+.f64 1/3 x)) 3)
3.0ms
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 1/3 x)) 3))
2.0ms
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 1/3 x)) 3)))
1.0ms
(+.f64 1/3 x)

rewrite15.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity_binary64
12×cbrt-prod_binary64
11×add-sqr-sqrt_binary64
11×add-cube-cbrt_binary64
cube-prod_binary64
Counts
4 → 76
Calls

4 calls:

9.0ms
(+.f64 1/3 x)
1.0ms
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 1/3 x)) 3))
1.0ms
(pow.f64 (log1p.f64 (+.f64 1/3 x)) 3)
0.0ms
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 1/3 x)) 3)))

simplify109.0ms (8.7%)

Algorithm
egg-herbie
Rules
369×fma-neg_binary64
342×cancel-sign-sub-inv_binary64
290×times-frac_binary64
237×fma-def_binary64
221×unswap-sqr_binary64
Counts
115 → 134
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02522002
17081795
224101726
344561721
449591721
549601721

prune75.0ms (6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1340134
Fresh000
Picked011
Done022
Total1343137
Error
0.0b
Counts
137 → 3
Alt Table
StatusErrorProgram
15.5b
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
0.0b
(+.f64 x 1/3)
16.3b
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 1/3 x)) 3)))
Compiler

Compiled 2685 to 2260 computations (15.8% saved)

regimes20.0ms (1.6%)

Accuracy

Total 0.0b remaining (21.8%)

Threshold costs 0.0b (21.8%)

Counts
7 → 1
Compiler

Compiled 120 to 97 computations (19.2% saved)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
154
254

end45.0ms (3.7%)

Compiler

Compiled 27 to 22 computations (18.5% saved)

Profiling

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