Details

Time bar (total: 1.4s)

analyze4.0ms (0.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%0.8%49.2%9
50%0.4%49.6%10
50.2%0.2%49.6%11
50.2%0.1%49.7%12
50.2%0%49.8%13
50.2%0%49.8%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample840.0ms (60.1%)

Results
797.0ms8256×body128valid
0.0ms6×body128invalid
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify20.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
417×times-frac_binary64
412×associate-/l*_binary64
360×associate-/r*_binary64
350×associate-*l*_binary64
200×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0711
1199
2509
31117
42367
55317
616137
Stop Event
1×node limit
Counts
1 → 2

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
(exp.f64 (fma.f64 x x -1))
Compiler

Compiled 25 to 17 computations (32% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(exp.f64 (fma.f64 x x -1))

series2.0ms (0.1%)

Counts
1 → 4
Calls

1 calls:

2.0ms
(exp.f64 (fma.f64 x x -1))

rewrite32.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
361×log1p-expm1-u_binary64
361×expm1-log1p-u_binary64
327×add-log-exp_binary64
317×pow1_binary64
205×unpow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1907
29797
Stop Event
1×node limit
Counts
1 → 49
Calls

1 calls:

29.0ms
(exp.f64 (fma.f64 x x -1))

simplify35.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
724×distribute-lft-out_binary64
385×*-commutative_binary64
380×fma-def_binary64
341×distribute-rgt-out_binary64
340×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02281
15579
213663
344856
4182856
5357856
6458356
Stop Event
1×node limit
Counts
53 → 56

prune37.0ms (2.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New54256
Fresh000
Picked101
Done000
Total55257
Error
0.0b
Counts
57 → 2
Alt Table
StatusErrorProgram
▶0.0b
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
0.0b
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
Compiler

Compiled 759 to 558 computations (26.5% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
✓0.0b
(expm1.f64 (fma.f64 x x -1))

series4.0ms (0.3%)

Counts
2 → 24
Calls

2 calls:

2.0ms
(expm1.f64 (fma.f64 x x -1))
2.0ms
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))

rewrite38.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
575×log1p-expm1-u_binary64
575×expm1-log1p-u_binary64
249×log-prod_binary64
163×fma-def_binary64
134×prod-diff_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
113614
2153614
Stop Event
1×node limit
Counts
2 → 77
Calls

2 calls:

37.0ms
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
37.0ms
(expm1.f64 (fma.f64 x x -1))

simplify26.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
671×fma-def_binary64
486×fma-neg_binary64
341×associate-*l*_binary64
288×distribute-lft-out_binary64
285×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030283
180272
2191245
3650229
42581227
Stop Event
1×node limit
Counts
101 → 93

prune55.0ms (3.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New92193
Fresh011
Picked011
Done000
Total92395
Error
0.0b
Counts
95 → 3
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
▶0.0b
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
63.0b
(+.f64 1 (pow.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) 2))
Compiler

Compiled 1308 to 1016 computations (22.3% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (exp.f64 x) x)
✓0.0b
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))

series7.0ms (0.5%)

Counts
2 → 24
Calls

2 calls:

5.0ms
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
2.0ms
(pow.f64 (exp.f64 x) x)

rewrite37.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
528×log1p-expm1-u_binary64
528×expm1-log1p-u_binary64
431×unpow-prod-down_binary64
285×log-prod_binary64
163×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0717
113215
2148213
Stop Event
1×node limit
Counts
2 → 65
Calls

2 calls:

36.0ms
(pow.f64 (exp.f64 x) x)
36.0ms
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))

simplify36.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
512×fma-def_binary64
439×*-commutative_binary64
437×distribute-rgt-out_binary64
424×associate-*l*_binary64
349×distribute-lft-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032244
184216
2208200
3592195
42307195
54558195
Stop Event
1×node limit
Counts
89 → 82

prune51.0ms (3.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh011
Picked011
Done011
Total82385
Error
0.0b
Counts
85 → 3
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
✓0.0b
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
▶63.0b
(+.f64 1 (pow.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) 2))
Compiler

Compiled 1184 to 749 computations (36.7% saved)

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(expm1.f64 (fma.f64 x x -1))

prune20.0ms (1.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New39039
Fresh000
Picked011
Done022
Total39342
Error
0.0b
Counts
42 → 3
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
✓0.0b
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
✓63.0b
(+.f64 1 (pow.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) 2))
Compiler

Compiled 687 to 574 computations (16.4% saved)

regimes67.0ms (4.8%)

Accuracy

Total 0.0b remaining (41.5%)

Threshold costs 0.0b (41.5%)

Counts
11 → 1
Compiler

Compiled 636 to 514 computations (19.2% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
Stop Event
1×saturated

end59.0ms (4.2%)

Compiler

Compiled 39 to 29 computations (25.6% saved)

Profiling

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