Details

Time bar (total: 5.4s)

analyze415.0ms (7.8%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
43.7%56.2%0.1%6
53.1%42.1%4.8%7
59.3%35.9%4.8%8
62.4%30.4%7.1%9
64.8%28.1%7.1%10
66%25.8%8.3%11
66.9%24.8%8.3%12
67.4%23.7%8.9%13
67.9%23.3%8.9%14
Compiler

Compiled 12 to 9 computations (25% saved)

sample4.1s (75.7%)

Results
2.5s2483×body8192exit
1.1s7656×body128valid
133.0ms203×body1024valid
97.0ms232×body512valid
45.0ms165×body256valid
11.0ms77×body128invalid
Compiler

Compiled 35 to 26 computations (25.7% saved)

simplify101.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
837×fma-def_binary64
741×fabs-mul_binary64
531×fabs-div_binary64
469×swap-sqr_binary64
420×fma-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11911
22811
34511
45911
58911
612011
714811
818811
920111
1023111
1125711
1233611
1354411
1496711
15293011
16346311
17360011
18389611
19482011
20496911

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.3b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.3b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 36 to 22 computations (38.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓0.2b
(log1p.f64 (exp.f64 x))

series276.0ms (5.2%)

Counts
2 → 36
Calls

2 calls:

195.0ms
(log1p.f64 (exp.f64 x))
81.0ms
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite4.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
5×add-log-exp_binary64
4×*-un-lft-identity_binary64
4×add-sqr-sqrt_binary64
4×add-cube-cbrt_binary64
3×fma-neg_binary64
Counts
2 → 32
Calls

2 calls:

2.0ms
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms
(log1p.f64 (exp.f64 x))

simplify76.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
620×cancel-sign-sub-inv_binary64
339×unswap-sqr_binary64
285×*-commutative_binary64
285×unsub-neg_binary64
252×distribute-rgt-in_binary64
Counts
68 → 56
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
073789
1167742
2426710
31507707
43171707
54588701
64872701

prune32.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New54256
Fresh000
Picked011
Done000
Total54357
Error
0b
Counts
57 → 3
Alt Table
StatusErrorProgram
✓0.3b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
13.8b
(+.f64 (log.f64 2) (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))))
▶11.5b
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
Compiler

Compiled 801 to 300 computations (62.5% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

series11.0ms (0.2%)

Counts
1 → 24
Calls

1 calls:

11.0ms
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×add-cube-cbrt_binary64
1×add-cbrt-cube_binary64
1×add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

simplify63.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
855×fma-neg_binary64
478×neg-sub0_binary64
433×neg-mul-1_binary64
375×*-commutative_binary64
362×distribute-rgt-in_binary64
Counts
34 → 22
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028459
152346
2104346
3328346
41670346
52981346
64467346
74969346

prune15.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New22022
Fresh011
Picked011
Done011
Total22325
Error
0b
Counts
25 → 3
Alt Table
StatusErrorProgram
✓0.3b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶13.8b
(+.f64 (log.f64 2) (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))))
✓11.5b
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
Compiler

Compiled 252 to 189 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (log.f64 2) (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))))
✓0.0b
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))

series23.0ms (0.4%)

Counts
2 → 48
Calls

2 calls:

16.0ms
(+.f64 (log.f64 2) (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))))
7.0ms
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))

rewrite16.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64
6×*-un-lft-identity_binary64
6×add-cube-cbrt_binary64
5×pow1_binary64
4×fma-def_binary64
Counts
2 → 46
Calls

2 calls:

9.0ms
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
5.0ms
(+.f64 (log.f64 2) (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))))

simplify68.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
672×distribute-rgt-in_binary64
662×distribute-lft-in_binary64
493×fma-def_binary64
349×fma-neg_binary64
142×associate-+l+_binary64
Counts
94 → 91
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0961599
12751215
29491215
347251215
449971215

prune63.0ms (1.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh000
Picked011
Done022
Total91394
Error
0b
Counts
94 → 3
Alt Table
StatusErrorProgram
✓0.3b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓13.8b
(+.f64 (log.f64 2) (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))))
✓11.5b
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
Compiler

Compiled 1691 to 1269 computations (25% saved)

regimes62.0ms (1.2%)

Accuracy

Total 0.2b remaining (50.8%)

Threshold costs 0.2b (50.8%)

Counts
20 → 1
Compiler

Compiled 674 to 514 computations (23.7% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Rules
4×+-commutative_binary64
4×*-commutative_binary64
4×sub-neg_binary64
3×neg-sub0_binary64
3×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11311
22311
32911
43311
53411
63411

end51.0ms (1%)

Compiler

Compiled 50 to 36 computations (28% saved)

Profiling

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