Details

Time bar (total: 6.8s)

analyze122.0ms (1.8%)

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)

sample1.5s (22.7%)

Results
1.5s8256×body128valid
Compiler

Compiled 98 to 49 computations (50% saved)

simplify81.0ms (1.2%)

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
0.2b
(/.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)))))
0.2b
(/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))
Compiler

Compiled 142 to 75 computations (47.2% saved)

localize45.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.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))
0.1b
(/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))

series110.0ms (1.6%)

Counts
4 → 80
Calls

4 calls:

75.0ms
(/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))
13.0ms
(exp.f32 (/.f32 (fabs.f32 x) s))
11.0ms
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)
11.0ms
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))

rewrite71.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
194×times-frac_binary32
181×*-un-lft-identity_binary32
118×add-sqr-sqrt_binary32
109×add-cube-cbrt_binary32
83×exp-prod_binary32
Counts
4 → 226
Calls

4 calls:

24.0ms
(/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))
10.0ms
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)
8.0ms
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
3.0ms
(exp.f32 (/.f32 (fabs.f32 x) s))

simplify252.0ms (3.7%)

Algorithm
egg-herbie
Rules
512×times-frac_binary32
341×associate-/l*_binary32
335×associate-/r*_binary32
292×distribute-rgt-in_binary32
268×distribute-lft-in_binary32
Counts
306 → 305
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03117856
16537564
216367474
345917474
449657474
549147474

prune484.0ms (7.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3032305
Fresh011
Picked101
Done000
Total3043307
Error
0.1b
Counts
307 → 3
Alt Table
StatusErrorProgram
0.1b
(/.f32 (/.f32 1 s) (+.f32 (pow.f32 (E.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)))))
0.2b
(/.f32 1 (fma.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
Compiler

Compiled 9084 to 3555 computations (60.9% saved)

localize48.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)
0.0b
(pow.f32 (E.f32) (/.f32 (fabs.f32 x) s))
0.0b
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
0.1b
(/.f32 (/.f32 1 s) (+.f32 (pow.f32 (E.f32) (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))

series516.0ms (7.6%)

Counts
2 → 48
Calls

2 calls:

308.0ms
(/.f32 (/.f32 1 s) (+.f32 (pow.f32 (E.f32) (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))
208.0ms
(pow.f32 (E.f32) (/.f32 (fabs.f32 x) s))

rewrite42.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
143×*-un-lft-identity_binary32
140×times-frac_binary32
76×add-sqr-sqrt_binary32
73×add-cube-cbrt_binary32
42×distribute-lft-out_binary32
Counts
2 → 146
Calls

2 calls:

17.0ms
(/.f32 (/.f32 1 s) (+.f32 (pow.f32 (E.f32) (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))
5.0ms
(pow.f32 (E.f32) (/.f32 (fabs.f32 x) s))

simplify258.0ms (3.8%)

Algorithm
egg-herbie
Rules
393×times-frac_binary32
321×associate-/r*_binary32
296×associate-/l/_binary32
294×associate-/l*_binary32
287×associate-*l*_binary32
Counts
194 → 184
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02236608
15526077
214386003
346426003
449486003
549876003
649326003

prune376.0ms (5.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3181319
Fresh022
Picked011
Done000
Total3184322
Error
0.1b
Counts
322 → 4
Alt Table
StatusErrorProgram
0.1b
(/.f32 (/.f32 1 s) (+.f32 (pow.f32 (E.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)))))
0.3b
(*.f32 (*.f32 (cbrt.f32 (/.f32 (/.f32 1 s) (+.f32 (pow.f32 (E.f32) (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))) (cbrt.f32 (/.f32 (/.f32 1 s) (+.f32 (pow.f32 (E.f32) (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2))))) (cbrt.f32 (/.f32 (/.f32 1 s) (+.f32 (pow.f32 (E.f32) (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))))
0.2b
(/.f32 1 (fma.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
Compiler

Compiled 9833 to 3745 computations (61.9% saved)

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2)
0.0b
(exp.f32 (/.f32 (fabs.f32 x) s))
0.0b
(/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))
0.1b
(fma.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))

series105.0ms (1.6%)

Counts
3 → 40
Calls

3 calls:

67.0ms
(fma.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))
28.0ms
(/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))
10.0ms
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2)

rewrite17.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity_binary32
12×add-sqr-sqrt_binary32
12×add-cube-cbrt_binary32
times-frac_binary32
add-cbrt-cube_binary32
Counts
3 → 56
Calls

3 calls:

8.0ms
(/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))
6.0ms
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2)
0.0ms
(fma.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))

simplify111.0ms (1.6%)

Algorithm
egg-herbie
Rules
384×distribute-rgt-in_binary32
370×distribute-lft-in_binary32
281×unswap-sqr_binary32
242×fma-neg_binary32
239×times-frac_binary32
Counts
96 → 100
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01402075
13141853
27601844
325951840
447321836
549821836
649351836

prune245.0ms (3.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2000200
Fresh022
Picked011
Done011
Total2004204
Error
0.1b
Counts
204 → 4
Alt Table
StatusErrorProgram
0.1b
(/.f32 (/.f32 1 s) (+.f32 (pow.f32 (E.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)))))
0.3b
(*.f32 (*.f32 (cbrt.f32 (/.f32 (/.f32 1 s) (+.f32 (pow.f32 (E.f32) (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))) (cbrt.f32 (/.f32 (/.f32 1 s) (+.f32 (pow.f32 (E.f32) (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2))))) (cbrt.f32 (/.f32 (/.f32 1 s) (+.f32 (pow.f32 (E.f32) (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))))
0.2b
(/.f32 1 (fma.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
Compiler

Compiled 5301 to 1847 computations (65.2% saved)

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series169.0ms (2.5%)

Counts
3 → 72
Calls

3 calls:

140.0ms
(/.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)))))
16.0ms
(*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
12.0ms
(+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))

rewrite51.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube_binary32
12×*-un-lft-identity_binary32
11×add-exp-log_binary32
10×associate-*r/_binary32
10×add-sqr-sqrt_binary32
Counts
3 → 77
Calls

3 calls:

27.0ms
(/.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)))))
9.0ms
(+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
8.0ms
(*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))

simplify109.0ms (1.6%)

Algorithm
egg-herbie
Rules
766×distribute-rgt-in_binary32
765×fma-def_binary32
740×distribute-lft-in_binary32
235×times-frac_binary32
172×associate-*l*_binary32
Counts
149 → 153
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01863884
15433506
220513377
354013377

prune984.0ms (14.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4891490
Fresh011
Picked011
Done022
Total4895494
Error
0.0b
Counts
494 → 5
Alt Table
StatusErrorProgram
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))))
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)))))
0.1b
(/.f32 (/.f32 1 s) (+.f32 (pow.f32 (E.f32) (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))
0.3b
(*.f32 (*.f32 (cbrt.f32 (/.f32 (/.f32 1 s) (+.f32 (pow.f32 (E.f32) (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))) (cbrt.f32 (/.f32 (/.f32 1 s) (+.f32 (pow.f32 (E.f32) (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2))))) (cbrt.f32 (/.f32 (/.f32 1 s) (+.f32 (pow.f32 (E.f32) (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))))
0.2b
(/.f32 1 (fma.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))
Compiler

Compiled 17024 to 5120 computations (69.9% saved)

regimes857.0ms (12.6%)

Accuracy

Total 0.2b remaining (77.1%)

Threshold costs 0.2b (77.1%)

Counts
144 → 1
Compiler

Compiled 19225 to 12535 computations (34.8% 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
01631
12531
22931
33231
43331
53231

end126.0ms (1.9%)

Compiler

Compiled 195 to 113 computations (42.1% saved)

Profiling

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