Details

Time bar (total: 7.0s)

analyze110.0ms (1.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%24.7%75.3%0
0%24.7%75.3%1
0%24.7%75.3%2
12.4%12.4%75.3%3
12.4%12.4%75.3%4
18.5%6.2%75.3%5
18.5%6.2%75.3%6
21.6%3.1%75.3%7
21.6%3.1%75.3%8
23.2%1.5%75.3%9
23.2%1.5%75.3%10
23.9%0.8%75.3%11
23.9%0.8%75.3%12
24.3%0.4%75.3%13
24.3%0.4%75.3%14
Compiler

Compiled 35 to 18 computations (48.6% saved)

sample1.6s (23.5%)

Results
1.6s8256×body128valid
Compiler

Compiled 98 to 49 computations (50% saved)

simplify78.0ms (1.1%)

Algorithm
egg-herbie
Rules
505×fma-def_binary32
440×times-frac_binary32
349×distribute-rgt-in_binary32
300×fma-neg_binary32
273×distribute-rgt-out_binary32
Counts
1 → 2
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01243
13843
28241
318141
435739
577230
6229229
7334129
8424329
9492229
10487529

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.2b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.3b
(/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))
0.2b
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Compiler

Compiled 142 to 75 computations (47.2% saved)

localize38.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
0.0b
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
0.0b
(*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
0.2b
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

series207.0ms (3%)

Counts
4 → 96
Calls

4 calls:

151.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
31.0ms
(*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
13.0ms
(+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
12.0ms
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))

rewrite76.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
58×exp-prod_binary32
57×times-frac_binary32
48×add-sqr-sqrt_binary32
46×*-un-lft-identity_binary32
42×add-cube-cbrt_binary32
Counts
4 → 153
Calls

4 calls:

30.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
17.0ms
(*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
8.0ms
(+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
7.0ms
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))

simplify142.0ms (2%)

Algorithm
egg-herbie
Rules
857×distribute-rgt-in_binary32
838×fma-def_binary32
248×times-frac_binary32
170×associate-*l*_binary32
162×associate-/l*_binary32
Counts
249 → 261
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03065813
17505303
226305170
353395170

prune771.0ms (11%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4943497
Fresh011
Picked101
Done000
Total4954499
Error
0.0b
Counts
499 → 4
Alt Table
StatusErrorProgram
0.3b
(/.f32 1 (*.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2)) (exp.f32 (/.f32 (fabs.f32 x) s))))
0.3b
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (sqrt.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1))) (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))))
0.3b
(/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))
0.7b
(exp.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 2 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s))))
Compiler

Compiled 17534 to 5362 computations (69.4% saved)

localize72.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
0.1b
(*.f32 (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (sqrt.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1))) (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
0.1b
(*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (sqrt.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)))
0.2b
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (sqrt.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1))) (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))))

series321.0ms (4.6%)

Counts
3 → 72
Calls

3 calls:

201.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (sqrt.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1))) (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))))
60.0ms
(*.f32 (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (sqrt.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1))) (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
58.0ms
(*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (sqrt.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)))

rewrite82.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
26×sqrt-div_binary32
19×add-cbrt-cube_binary32
18×associate-*r/_binary32
16×add-exp-log_binary32
14×associate-*r*_binary32
Counts
3 → 94
Calls

3 calls:

32.0ms
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (sqrt.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1))) (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))))
22.0ms
(*.f32 (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (sqrt.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1))) (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
14.0ms
(*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (sqrt.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)))

simplify209.0ms (3%)

Algorithm
egg-herbie
Rules
600×fma-def_binary32
420×associate-/l/_binary32
252×times-frac_binary32
233×fma-neg_binary32
214×associate-*l*_binary32
Counts
166 → 183
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02817602
17096378
226855521
345135312
449315303
549595303

prune463.0ms (6.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3850385
Fresh033
Picked011
Done000
Total3854389
Error
0.0b
Counts
389 → 4
Alt Table
StatusErrorProgram
0.3b
(/.f32 1 (*.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2)) (exp.f32 (/.f32 (fabs.f32 x) s))))
0.3b
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (sqrt.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1))) (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))))
0.3b
(/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))
0.7b
(exp.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 2 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s))))
Compiler

Compiled 17656 to 5419 computations (69.3% saved)

localize50.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2))
0.0b
(exp.f32 (/.f32 (fabs.f32 x) s))
0.0b
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
0.3b
(/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))

series141.0ms (2%)

Counts
3 → 56
Calls

3 calls:

105.0ms
(/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))
24.0ms
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2))
12.0ms
(exp.f32 (/.f32 (fabs.f32 x) s))

rewrite64.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
149×*-un-lft-identity_binary32
140×times-frac_binary32
77×add-sqr-sqrt_binary32
74×add-cube-cbrt_binary32
45×distribute-lft-out_binary32
Counts
3 → 159
Calls

3 calls:

22.0ms
(/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))
17.0ms
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2))
4.0ms
(exp.f32 (/.f32 (fabs.f32 x) s))

simplify281.0ms (4%)

Algorithm
egg-herbie
Rules
561×times-frac_binary32
338×associate-/r*_binary32
312×associate-/l*_binary32
294×distribute-rgt-in_binary32
256×distribute-lft-in_binary32
Counts
215 → 209
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02367166
15286845
213486771
345846753
447966753
550006753
648986753

prune388.0ms (5.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3091310
Fresh112
Picked011
Done011
Total3104314
Error
0.0b
Counts
314 → 4
Alt Table
StatusErrorProgram
0.3b
(/.f32 1 (fma.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
0.3b
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (sqrt.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1))) (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))))
0.3b
(/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))
0.7b
(exp.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 2 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s))))
Compiler

Compiled 9255 to 3622 computations (60.9% saved)

localize39.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f32 1 (fma.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
0.0b
(exp.f32 (/.f32 (fabs.f32 x) s))
0.0b
(/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))
0.2b
(fma.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))

series203.0ms (2.9%)

Counts
3 → 56
Calls

3 calls:

113.0ms
(/.f32 1 (fma.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
58.0ms
(fma.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
32.0ms
(/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))

rewrite14.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity_binary32
19×add-sqr-sqrt_binary32
19×add-cube-cbrt_binary32
18×times-frac_binary32
add-exp-log_binary32
Counts
3 → 72
Calls

3 calls:

7.0ms
(/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))
3.0ms
(/.f32 1 (fma.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
1.0ms
(fma.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))

simplify164.0ms (2.3%)

Algorithm
egg-herbie
Rules
440×cancel-sign-sub-inv_binary32
367×fma-neg_binary32
254×associate-/l*_binary32
250×unswap-sqr_binary32
247×times-frac_binary32
Counts
128 → 108
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01613648
13383393
28123345
328513345
448063345
549873345
649333345

prune239.0ms (3.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2100210
Fresh011
Picked011
Done022
Total2104214
Error
0.0b
Counts
214 → 4
Alt Table
StatusErrorProgram
0.3b
(/.f32 1 (fma.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
0.3b
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (sqrt.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1))) (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))))
0.3b
(/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))
0.7b
(exp.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 2 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s))))
Compiler

Compiled 5527 to 1977 computations (64.2% saved)

regimes1.1s (16%)

Accuracy

Total 0.1b remaining (60.2%)

Threshold costs 0.1b (60.2%)

Counts
190 → 1
Compiler

Compiled 31285 to 17261 computations (44.8% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary32
*-commutative_binary32
sub-neg_binary32
neg-sub0_binary32
neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01434
12334
22734
33034
43134
53034

end81.0ms (1.2%)

Compiler

Compiled 144 to 84 computations (41.7% saved)

Profiling

Loading profile data...