Details

Time bar (total: 4.1s)

analyze160.0ms (3.9%)

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 15 to 12 computations (20% saved)

sample36.0ms (0.9%)

Algorithm
intervals
Results
14.0ms256×body128valid
4.0ms256×pre128true
Compiler

Compiled 28 to 23 computations (17.9% saved)

simplify60.0ms (1.5%)

Algorithm
egg-herbie
Rules
944×fma-neg_binary32
518×unswap-sqr_binary32
432×exp-prod_binary32
340×times-frac_binary32
333×associate-*l*_binary32
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11714
22714
33614
45014
57914
614714
726114
852814
9167614
10316014
11412114
12485014

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 33 to 27 computations (18.2% saved)

localize23.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

rewrite20.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity_binary32
42×times-frac_binary32
34×exp-prod_binary32
33×add-sqr-sqrt_binary32
33×add-cube-cbrt_binary32
Counts
3 → 102
Calls

3 calls:

6.0ms
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
4.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
4.0ms
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))

series40.0ms (1%)

Counts
3 → 72
Calls

3 calls:

30.0ms
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
5.0ms
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
4.0ms
(exp.f32 (/.f32 (neg.f32 x) s))

simplify126.0ms (3.1%)

Algorithm
egg-herbie
Rules
727×fma-neg_binary32
322×associate-/l/_binary32
269×associate-/r/_binary32
197×distribute-rgt-neg-in_binary32
190×distribute-lft-neg-in_binary32
Counts
174 → 301
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01702521
13462365
28062311
324142287
448502287
550892287

prune130.0ms (3.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2992301
Fresh000
Picked011
Done000
Total2993302
Error
0b
Counts
302 → 3
Alt Table
StatusErrorProgram
0.0b
(*.f32 (*.f32 (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))))
0.0b
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
0.0b
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 2667 to 1418 computations (46.8% saved)

localize28.0ms (0.7%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(exp.f32 (neg.f32 (/.f32 x s)))
0.0b
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
1.4b
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))

rewrite9.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
40×exp-prod_binary32
21×*-un-lft-identity_binary32
21×add-sqr-sqrt_binary32
21×add-cube-cbrt_binary32
18×times-frac_binary32
Counts
3 → 78
Calls

3 calls:

4.0ms
(exp.f32 (neg.f32 (/.f32 x s)))
2.0ms
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
0.0ms
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))

series890.0ms (21.7%)

Counts
3 → 64
Calls

3 calls:

452.0ms
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
433.0ms
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
4.0ms
(exp.f32 (neg.f32 (/.f32 x s)))

simplify143.0ms (3.5%)

Algorithm
egg-herbie
Rules
452×fma-neg_binary32
354×distribute-neg-frac_binary32
292×times-frac_binary32
241×associate-/l*_binary32
200×associate-/r*_binary32
Counts
142 → 229
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01722142
13671839
29641802
332831774
447921772
549341772
649911772
749181772

prune101.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2290229
Fresh011
Picked011
Done011
Total2293232
Error
0b
Counts
232 → 3
Alt Table
StatusErrorProgram
0.0b
(*.f32 (*.f32 (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))))
0.0b
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
0.0b
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 1771 to 822 computations (53.6% saved)

localize39.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

rewrite37.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
21×associate-*r*_binary32
21×cbrt-prod_binary32
20×pow1_binary32
17×*-un-lft-identity_binary32
15×add-sqr-sqrt_binary32
Counts
1 → 62
Calls

1 calls:

29.0ms
(*.f32 (*.f32 (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))))

series32.0ms (0.8%)

Counts
1 → 24
Calls

1 calls:

32.0ms
(*.f32 (*.f32 (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))))

simplify165.0ms (4%)

Algorithm
egg-herbie
Rules
711×associate-/l*_binary32
425×associate-/r*_binary32
422×associate-/l/_binary32
378×fma-def_binary32
306×cancel-sign-sub-inv_binary32
Counts
86 → 164
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01102374
12152230
25412207
316092181
442971776
544441716
649141716
749931716
848571716

prune307.0ms (7.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New100401004
Fresh000
Picked011
Done022
Total100431007
Error
0b
Counts
1007 → 3
Alt Table
StatusErrorProgram
0.0b
(*.f32 (*.f32 (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))))
0.0b
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
0.0b
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 10280 to 5740 computations (44.2% saved)

regimes580.0ms (14.2%)

Accuracy

Total 0.0b remaining (58%)

Threshold costs 0.0b (58%)

Compiler

Compiled 12654 to 8910 computations (29.6% saved)

simplify3.0ms (0.1%)

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
01118
11918
22318
32618
42718
52618

end1.0ms (0%)

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.2s (28.5%)

Algorithm
intervals
Results
490.0ms8000×body128valid
133.0ms8000×pre128true
Compiler

Compiled 85 to 64 computations (24.7% saved)

Profiling

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