Details

Time bar (total: 2.0s)

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
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)

sample865.0ms (42.3%)

Results
852.0ms8256×body128valid
0.0ms2×body128invalid
Compiler

Compiled 18 to 14 computations (22.2% saved)

preprocess30.0ms (1.5%)

Algorithm
2×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: 0 (0.0ms)

IterNodesCost
0711
1199
2509
31117
42367
55317
616137
011
Stop Event
1×saturated
1×node limit
Compiler

Compiled 8 to 6 computations (25% saved)

simplify19.0ms (0.9%)

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 (0.1%)

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

Compiled 25 to 17 computations (32% saved)

localize4.0ms (0.2%)

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

3 calls:

1.0ms
(exp.f64 (fma.f64 x x -1))
x
0
0.0ms
(exp.f64 (fma.f64 x x -1))
x
inf
0.0ms
(exp.f64 (fma.f64 x x -1))
x
-inf

rewrite30.0ms (1.5%)

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

simplify34.0ms (1.6%)

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

prune41.0ms (2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New52456
Fresh000
Picked101
Done000
Total53457
Error
0.0b
Counts
57 → 4
Alt Table
StatusErrorProgram
0.3b
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))))
63.8b
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))
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 837 to 616 computations (26.4% saved)

localize6.0ms (0.3%)

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))

series9.0ms (0.4%)

Counts
2 → 24
Calls

6 calls:

3.0ms
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
x
0
2.0ms
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
x
inf
2.0ms
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
x
-inf
1.0ms
(pow.f64 (exp.f64 x) x)
x
0
1.0ms
(pow.f64 (exp.f64 x) x)
x
-inf

rewrite38.0ms (1.9%)

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

simplify35.0ms (1.7%)

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

prune120.0ms (5.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New81182
Fresh123
Picked101
Done000
Total83386
Error
0.0b
Counts
86 → 3
Alt Table
StatusErrorProgram
0.3b
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))))
0.0b
(*.f64 (exp.f64 -1) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)))
▶0.0b
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
Compiler

Compiled 1232 to 781 computations (36.6% saved)

localize6.0ms (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))

series5.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

1.0ms
(expm1.f64 (fma.f64 x x -1))
x
0
1.0ms
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
x
0
1.0ms
(expm1.f64 (fma.f64 x x -1))
x
inf
0.0ms
(expm1.f64 (fma.f64 x x -1))
x
-inf
0.0ms
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
x
-inf

rewrite42.0ms (2.1%)

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

simplify28.0ms (1.4%)

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

prune75.0ms (3.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New93093
Fresh022
Picked011
Done000
Total93396
Error
0.0b
Counts
96 → 3
Alt Table
StatusErrorProgram
0.3b
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))))
▶0.0b
(*.f64 (exp.f64 -1) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)))
✓0.0b
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
Compiler

Compiled 1340 to 1036 computations (22.7% saved)

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (exp.f64 -1) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)))
✓0.0b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x))
✓0.0b
(cbrt.f64 (exp.f64 x))
✓0.0b
(pow.f64 (cbrt.f64 (exp.f64 x)) 2)

series105.0ms (5.1%)

Counts
4 → 48
Calls

12 calls:

21.0ms
(pow.f64 (cbrt.f64 (exp.f64 x)) 2)
x
inf
20.0ms
(cbrt.f64 (exp.f64 x))
x
-inf
20.0ms
(pow.f64 (cbrt.f64 (exp.f64 x)) 2)
x
-inf
18.0ms
(cbrt.f64 (exp.f64 x))
x
inf
7.0ms
(*.f64 (exp.f64 -1) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)))
x
inf

rewrite63.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
877×log1p-expm1-u_binary64
877×expm1-log1p-u_binary64
105×add-sqr-sqrt_binary64
102×add-cbrt-cube_binary64
102×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01230
124028
2269128
Stop Event
1×node limit
Counts
4 → 74

simplify43.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
516×unswap-sqr_binary64
321×distribute-rgt-out_binary64
304×fma-def_binary64
270×*-commutative_binary64
264×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070690
1189578
2486444
31570373
43514373
Stop Event
1×node limit
Counts
122 → 106

prune120.0ms (5.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1351136
Fresh011
Picked101
Done011
Total1363139
Error
0b
Counts
139 → 3
Alt Table
StatusErrorProgram
0.3b
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))))
0.0b
(*.f64 (exp.f64 -1) (pow.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)))
✓0.0b
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
Compiler

Compiled 2320 to 1354 computations (41.6% saved)

regimes235.0ms (11.5%)

Accuracy

Total 0.0b remaining (45.3%)

Threshold costs 0.0b (45.3%)

Counts
65 → 1
Compiler

Compiled 3950 to 3089 computations (21.8% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
11221
Stop Event
1×saturated

end68.0ms (3.3%)

Stop Event
1×fuel
Compiler

Compiled 68 to 50 computations (26.5% saved)

Profiling

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