Details

Time bar (total: 1.5s)

analyze7.0ms (0.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%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 13 to 10 computations (23.1% saved)

sample780.0ms (53%)

Results
753.0ms8256×body128valid
Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify5.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11516
21616
31416

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 47 to 35 computations (25.5% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series5.0ms (0.4%)

Counts
2 → 24
Calls

2 calls:

3.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
2.0ms
(/.f64 x (+.f64 x 1))

rewrite33.0ms (2.3%)

Algorithm
1×rewrite-expression-head
Rules
62×*-un-lft-identity_binary64
41×times-frac_binary64
34×add-sqr-sqrt_binary64
27×fma-def_binary64
22×add-cube-cbrt_binary64
Counts
2 → 82
Calls

2 calls:

24.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
5.0ms
(/.f64 x (+.f64 x 1))

simplify96.0ms (6.5%)

Algorithm
1×egg-herbie
Rules
573×fma-neg_binary64
546×cancel-sign-sub-inv_binary64
366×div-sub_binary64
311×fma-def_binary64
253×sub-neg_binary64
Counts
106 → 111
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01281210
13361157
28701144
327091135
443191135
547931135
652401135

prune71.0ms (4.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1092111
Fresh000
Picked101
Done000
Total1102112
Error
0b
Counts
112 → 2
Alt Table
StatusErrorProgram
17.0b
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))
▶0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (log.f64 (exp.f64 (/.f64 x (+.f64 x 1)))))
Compiler

Compiled 2051 to 1521 computations (25.8% saved)

localize8.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (log.f64 (exp.f64 (/.f64 x (+.f64 x 1)))))
0.0b
(/.f64 x (+.f64 x 1))
✓3.3b
(log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))

series7.0ms (0.4%)

Counts
2 → 24
Calls

2 calls:

3.0ms
(log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))
3.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (log.f64 (exp.f64 (/.f64 x (+.f64 x 1)))))

rewrite40.0ms (2.7%)

Algorithm
1×rewrite-expression-head
Rules
42×*-un-lft-identity_binary64
35×add-sqr-sqrt_binary64
33×times-frac_binary64
27×fma-def_binary64
23×add-cube-cbrt_binary64
Counts
2 → 79
Calls

2 calls:

30.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (log.f64 (exp.f64 (/.f64 x (+.f64 x 1)))))
5.0ms
(log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))

simplify110.0ms (7.4%)

Algorithm
1×egg-herbie
Rules
465×fma-neg_binary64
417×cancel-sign-sub-inv_binary64
373×distribute-rgt-in_binary64
283×fma-def_binary64
272×distribute-lft-in_binary64
Counts
103 → 127
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01461128
13121061
28091045
321301044
443181044
547951035
650001035
749321035

prune110.0ms (7.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1780178
Fresh011
Picked011
Done000
Total1782180
Error
0b
Counts
180 → 2
Alt Table
StatusErrorProgram
▶17.0b
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (log.f64 (exp.f64 (/.f64 x (+.f64 x 1)))))
Compiler

Compiled 3535 to 2658 computations (24.8% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓16.5b
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))

series3.0ms (0.2%)

Counts
1 → 12
Calls

1 calls:

3.0ms
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))

rewrite4.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
9×*-un-lft-identity_binary64
9×times-frac_binary64
9×add-sqr-sqrt_binary64
9×add-cube-cbrt_binary64
3×associate-/r*_binary64
Counts
1 → 29
Calls

1 calls:

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

simplify61.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
969×fma-neg_binary64
598×times-frac_binary64
571×fma-def_binary64
459×associate-*l*_binary64
303×associate-/l*_binary64
Counts
41 → 50
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
082796
1183740
2488712
31279710
44553707
55194707

prune32.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New50050
Fresh000
Picked011
Done011
Total50252
Error
0b
Counts
52 → 2
Alt Table
StatusErrorProgram
✓17.0b
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (log.f64 (exp.f64 (/.f64 x (+.f64 x 1)))))
Compiler

Compiled 835 to 563 computations (32.6% saved)

regimes39.0ms (2.6%)

Accuracy

Total 0.0b remaining (88%)

Threshold costs 0.0b (88%)

Counts
22 → 1
Compiler

Compiled 510 to 391 computations (23.3% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11720
21820
31620

end47.0ms (3.2%)

Compiler

Compiled 52 to 39 computations (25% saved)

Profiling

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