Details

Time bar (total: 1.5s)

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)

sample690.0ms (46.8%)

Results
576.0ms8256×body128valid
Compiler

Compiled 20 to 17 computations (15% saved)

simplify87.0ms (5.9%)

Algorithm
1×egg-herbie
Rules
812×rules-41_binary64
812×rules-42_binary64
812×rules-43_binary64
459×rules-6_binary64
375×rules-5-rev_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1334
2594
31084
41924
53624
68294
732004
849364
946544

prune3.0ms (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 → 3
Calls

1 calls:

1.0ms
(-.f64 x 1/3)

rewrite81.0ms (5.5%)

Algorithm
2×batch-egg-rewrite
Rules
772×log1p-udef_binary64
420×log1p-expm1-u_binary64
420×expm1-log1p-u_binary64
271×fma-neg_binary64
203×unpow-prod-down_binary64
Counts
1 → 49
Calls

1 calls:

81.0ms
(-.f64 x 1/3)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
11004
212164
347604
460004
000
100

simplify14.0ms (1%)

Algorithm
1×egg-herbie
Rules
39×fma-neg_binary64
31×rules-13_binary64
28×rules-40_binary64
28×rules-41_binary64
28×rules-42_binary64
Counts
52 → 51
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023
1133
2323
3503
4863
51183
61383
71533
81573
91653
1073

prune25.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New49251
Fresh000
Picked011
Done000
Total49352
Error
0b
Counts
52 → 3
Alt Table
StatusErrorProgram
✓0.0b
(-.f64 x 1/3)
30.0b
(log.f64 (exp.f64 (-.f64 x 1/3)))
▶20.8b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (fma.f64 x 1/3 1/9)))
Compiler

Compiled 482 to 388 computations (19.5% saved)

localize9.0ms (0.6%)

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)
✓0.2b
(fma.f64 x 1/3 1/9)
✓20.0b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (fma.f64 x 1/3 1/9)))

series9.0ms (0.6%)

Counts
4 → 39
Calls

4 calls:

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

rewrite88.0ms (5.9%)

Algorithm
2×batch-egg-rewrite
Rules
645×fma-neg_binary64
371×fma-def_binary64
181×expm1-udef_binary64
181×log1p-udef_binary64
161×prod-diff_binary64
Counts
4 → 142
Calls

4 calls:

85.0ms
(fma.f64 x x (fma.f64 x 1/3 1/9))
85.0ms
(-.f64 (pow.f64 x 3) 1/27)
85.0ms
(fma.f64 x 1/3 1/9)
85.0ms
(/.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
125539
2276239
3486339
000
100

simplify73.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
1089×rules-43_binary64
1079×rules-42_binary64
488×fma-neg_binary64
372×fma-def_binary64
290×rules-11_binary64
Counts
181 → 153
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01539
19339
227539
3100339
4355939
51439

prune103.0ms (7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1530153
Fresh011
Picked011
Done011
Total1533156
Error
0b
Counts
156 → 3
Alt Table
StatusErrorProgram
✓0.0b
(-.f64 x 1/3)
▶30.0b
(log.f64 (exp.f64 (-.f64 x 1/3)))
✓20.8b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (fma.f64 x 1/3 1/9)))
Compiler

Compiled 2764 to 2023 computations (26.8% saved)

localize4.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x 1/3)
✓0.0b
(exp.f64 (-.f64 x 1/3))
✓0.3b
(log.f64 (exp.f64 (-.f64 x 1/3)))

series3.0ms (0.2%)

Counts
2 → 16
Calls

2 calls:

2.0ms
(exp.f64 (-.f64 x 1/3))
1.0ms
(log.f64 (exp.f64 (-.f64 x 1/3)))

rewrite48.0ms (3.3%)

Algorithm
2×batch-egg-rewrite
Rules
498×log1p-expm1-u_binary64
498×expm1-log1p-u_binary64
337×fma-neg_binary64
212×log-prod_binary64
188×fma-def_binary64
Counts
2 → 82
Calls

2 calls:

47.0ms
(exp.f64 (-.f64 x 1/3))
47.0ms
(log.f64 (exp.f64 (-.f64 x 1/3)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
112010
2145010
3489910
000
100

simplify69.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
850×rules-42_binary64
845×rules-41_binary64
845×rules-43_binary64
698×rules-40_binary64
358×fma-def_binary64
Counts
98 → 91
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022105
1148103
258590
3332790
4478690
5526390

prune65.0ms (4.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1420142
Fresh000
Picked011
Done022
Total1423145
Error
0b
Counts
145 → 3
Alt Table
StatusErrorProgram
✓0.0b
(-.f64 x 1/3)
✓30.0b
(log.f64 (exp.f64 (-.f64 x 1/3)))
✓20.8b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (fma.f64 x 1/3 1/9)))
Compiler

Compiled 1423 to 1181 computations (17% saved)

regimes20.0ms (1.3%)

Accuracy

Total 0.0b remaining (82.4%)

Threshold costs 0.0b (82.4%)

Counts
9 → 1
Compiler

Compiled 166 to 132 computations (20.5% saved)

simplify1.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
074
194
274

end73.0ms (5%)

Compiler

Compiled 32 to 24 computations (25% saved)

Profiling

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