Details

Time bar (total: 2.1s)

analyze4.0ms (0.2%)

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)

sample727.0ms (34.5%)

Results
681.0ms8256×body128valid
Compiler

Compiled 20 to 17 computations (15% saved)

simplify7.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1124
2134
3104

prune2.0ms (0.1%)

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 → 3
Calls

1 calls:

1.0ms
(-.f64 x 1/3)

rewrite73.0ms (3.4%)

Algorithm
2×batch-egg-rewrite
Rules
821×log1p-udef_binary64
452×log1p-expm1-u_binary64
452×expm1-log1p-u_binary64
389×pow1_binary64
218×unpow-prod-down_binary64
Counts
1 → 49
Calls

1 calls:

72.0ms
(-.f64 x 1/3)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1934
211214
347494
461084
000
100

simplify7.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
52 → 51
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023
123

prune31.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New49251
Fresh000
Picked011
Done000
Total49352
Error
0b
Counts
52 → 3
Alt Table
StatusErrorProgram
31.1b
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x 1/3)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x 1/3)))))
✓0.0b
(-.f64 x 1/3)
▶21.8b
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9)))
Compiler

Compiled 499 to 388 computations (22.2% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x x (fma.f64 x 1/3 1/9))
✓0.0b
(+.f64 (pow.f64 x 3) -1/27)
✓0.1b
(fma.f64 x 1/3 1/9)
✓21.1b
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9)))

series53.0ms (2.5%)

Counts
4 → 48
Calls

4 calls:

45.0ms
(fma.f64 x x (fma.f64 x 1/3 1/9))
3.0ms
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9)))
3.0ms
(+.f64 (pow.f64 x 3) -1/27)
1.0ms
(fma.f64 x 1/3 1/9)

rewrite65.0ms (3.1%)

Algorithm
2×batch-egg-rewrite
Rules
460×log-prod_binary64
197×expm1-udef_binary64
197×log1p-udef_binary64
179×prod-diff_binary64
162×log-pow_binary64
Counts
4 → 137
Calls

4 calls:

63.0ms
(fma.f64 x x (fma.f64 x 1/3 1/9))
63.0ms
(+.f64 (pow.f64 x 3) -1/27)
63.0ms
(fma.f64 x 1/3 1/9)
63.0ms
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
124139
2272339
3488239
000
100

simplify149.0ms (7.1%)

Algorithm
1×egg-herbie
Rules
1255×sqr-pow_binary64
561×cube-prod_binary64
558×pow-sqr_binary64
543×fabs-mul_binary64
538×unswap-sqr_binary64
Counts
185 → 155
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017297
138253
268241
3109241
4200241
5561241
61297241
71358241
81569241
91796241
102124241
112251241
122675241
133138241
143434241
153649241
163773241
173819241
183846241
194501241
204874241

prune259.0ms (12.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1550155
Fresh011
Picked011
Done011
Total1553158
Error
0b
Counts
158 → 3
Alt Table
StatusErrorProgram
▶31.1b
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x 1/3)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x 1/3)))))
✓0.0b
(-.f64 x 1/3)
✓21.8b
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9)))
Compiler

Compiled 2829 to 2066 computations (27% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (exp.f64 (-.f64 x 1/3)))
0.0b
(-.f64 x 1/3)
✓1.1b
(log.f64 (sqrt.f64 (exp.f64 (-.f64 x 1/3))))

series292.0ms (13.9%)

Counts
2 → 8
Calls

2 calls:

289.0ms
(log.f64 (sqrt.f64 (exp.f64 (-.f64 x 1/3))))
3.0ms
(sqrt.f64 (exp.f64 (-.f64 x 1/3)))

rewrite46.0ms (2.2%)

Algorithm
2×batch-egg-rewrite
Rules
650×log1p-expm1-u_binary64
650×expm1-log1p-u_binary64
292×log-prod_binary64
125×expm1-udef_binary64
125×log1p-udef_binary64
Counts
2 → 59
Calls

2 calls:

45.0ms
(sqrt.f64 (exp.f64 (-.f64 x 1/3)))
45.0ms
(log.f64 (sqrt.f64 (exp.f64 (-.f64 x 1/3))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
114515
2167015
3513815
000
100

simplify132.0ms (6.3%)

Algorithm
1×egg-herbie
Rules
782×sqr-pow_binary64
662×*-commutative_binary64
440×fma-def_binary64
434×cube-prod_binary64
410×distribute-lft-out_binary64
Counts
67 → 69
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
027147
165139
2152125
3391110
41093104
51459103
61869103
71918103
82100103
92329103
102956103
113703103
122899103
133524103
143914103
154620103
164720103

prune126.0ms (6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2400240
Fresh000
Picked011
Done022
Total2403243
Error
0b
Counts
243 → 3
Alt Table
StatusErrorProgram
✓31.1b
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x 1/3)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x 1/3)))))
✓0.0b
(-.f64 x 1/3)
✓21.8b
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9)))
Compiler

Compiled 4351 to 3709 computations (14.8% saved)

regimes58.0ms (2.8%)

Accuracy

Total 0.0b remaining (63.4%)

Threshold costs 0.0b (63.4%)

Counts
23 → 1
Compiler

Compiled 514 to 409 computations (20.4% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
174
284
374

end57.0ms (2.7%)

Compiler

Compiled 40 to 31 computations (22.5% saved)

Profiling

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