Details

Time bar (total: 1.4s)

analyze5.0ms (0.3%)

Algorithm
1×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)

sample668.0ms (46.7%)

Results
615.0ms8256×body128valid
Compiler

Compiled 20 to 17 computations (15% saved)

simplify30.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
230×fma-neg_binary64
229×rules-5-rev_binary64
222×rules-6-rev_binary64
176×rules-5_binary64
174×rules-4_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1344
2634
31334
42484
55764
61294

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)

rewrite77.0ms (5.4%)

Algorithm
2×batch-egg-rewrite
Rules
425×log1p-expm1-u_binary64
425×expm1-log1p-u_binary64
274×fma-neg_binary64
218×unpow-prod-down_binary64
215×prod-diff_binary64
Counts
1 → 57
Calls

1 calls:

76.0ms
(+.f64 x 1/3)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
11014
212304
348754
448794
000
100

simplify29.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
230×fma-neg_binary64
229×rules-5-rev_binary64
222×rules-6-rev_binary64
176×rules-5_binary64
174×rules-4_binary64
Counts
69 → 60
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0412
12312
25712
312712
424212
557112
612912

prune44.0ms (3.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New58260
Fresh000
Picked101
Done000
Total59261
Error
0b
Counts
61 → 2
Alt Table
StatusErrorProgram
▶0.0b
(*.f64 x (+.f64 1 (/.f64 1/3 x)))
20.8b
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
Compiler

Compiled 590 to 454 computations (23.1% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (+.f64 1 (/.f64 1/3 x)))
✓0.3b
(/.f64 1/3 x)

series4.0ms (0.3%)

Counts
2 → 12
Calls

2 calls:

3.0ms
(/.f64 1/3 x)
2.0ms
(*.f64 x (+.f64 1 (/.f64 1/3 x)))

rewrite60.0ms (4.2%)

Algorithm
2×batch-egg-rewrite
Rules
673×log1p-expm1-u_binary64
673×expm1-log1p-u_binary64
267×prod-diff_binary64
130×egg-rr
118×log1p-udef_binary64
Counts
2 → 130
Calls

2 calls:

56.0ms
(*.f64 x (+.f64 1 (/.f64 1/3 x)))
56.0ms
(/.f64 1/3 x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11678
219548
350288
000
100

simplify32.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
230×fma-neg_binary64
229×rules-5-rev_binary64
222×rules-6-rev_binary64
176×rules-5_binary64
174×rules-4_binary64
Counts
142 → 132
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0412
12312
25712
312712
424212
557112
612912

prune94.0ms (6.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1320132
Fresh011
Picked011
Done000
Total1322134
Error
0b
Counts
134 → 2
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 x (+.f64 1 (/.f64 1/3 x)))
▶20.8b
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
Compiler

Compiled 2202 to 1636 computations (25.7% saved)

localize10.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (pow.f64 x 3) 1/27)
✓0.0b
(-.f64 1/9 (*.f64 x 1/3))
✓0.3b
(*.f64 x 1/3)
✓20.0b
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))

series9.0ms (0.6%)

Counts
4 → 48
Calls

4 calls:

3.0ms
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
2.0ms
(+.f64 (pow.f64 x 3) 1/27)
1.0ms
(-.f64 1/9 (*.f64 x 1/3))
1.0ms
(*.f64 x 1/3)

rewrite74.0ms (5.2%)

Algorithm
2×batch-egg-rewrite
Rules
622×prod-diff_binary64
203×expm1-udef_binary64
203×log1p-udef_binary64
127×egg-rr
115×add-sqr-sqrt_binary64
Counts
4 → 127
Calls

4 calls:

72.0ms
(+.f64 (pow.f64 x 3) 1/27)
72.0ms
(-.f64 1/9 (*.f64 x 1/3))
72.0ms
(*.f64 x 1/3)
72.0ms
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
128738
2322538
3495538
000
100

simplify26.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
216×fma-neg_binary64
142×rules-11_binary64
129×fma-def_binary64
123×rules-40_binary64
123×rules-41_binary64
Counts
175 → 138
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013135
177135
2203135
3617135
488135

prune91.0ms (6.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1380138
Fresh000
Picked011
Done011
Total1382140
Error
0b
Counts
140 → 2
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 x (+.f64 1 (/.f64 1/3 x)))
✓20.8b
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
Compiler

Compiled 2596 to 1966 computations (24.3% saved)

regimes126.0ms (8.8%)

Accuracy

Total 0.0b remaining (68.8%)

Threshold costs 0.0b (68.8%)

Counts
80 → 1
Compiler

Compiled 1396 to 1097 computations (21.4% saved)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
11116
21016

end42.0ms (2.9%)

Compiler

Compiled 47 to 37 computations (21.3% saved)

Profiling

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