Details

Time bar (total: 4.7s)

analyze155.0ms (3.3%)

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)

sample38.0ms (0.8%)

Algorithm
intervals
Results
18.0ms256×body128valid
4.0ms256×pre128true
Compiler

Compiled 28 to 23 computations (17.9% saved)

simplify60.0ms (1.3%)

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 → 0
Iterations

Useful iterations: 0 (0.0ms)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Alt Table
StatusErrorProgram
0.0b
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize24.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

rewrite234.0ms (5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
29×add-cube-cbrt_binary32
13×pow1_binary32
13×add-cbrt-cube_binary32
12×add-sqr-sqrt_binary32
11×add-log-exp_binary32
Counts
3 → 132
Calls

3 calls:

20.0ms
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
15.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
14.0ms
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
Compiler

Compiled 1890 to 958 computations (49.3% saved)

series61.0ms (1.3%)

Error
0.0b
Counts
3 → 45
Calls

3 calls:

22.0ms
(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
15.0ms
(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
15.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Compiler

Compiled 972 to 781 computations (19.7% saved)

simplify226.0ms (4.8%)

Algorithm
egg-herbie
Rules
771×fma-neg_binary32
364×times-frac_binary32
251×associate-*l*_binary32
241×fma-def_binary32
236×associate-*r*_binary32
Counts
177 → 112
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01522425
13182188
28902111
335832025
446102025
549992025
648702025

prune72.0ms (1.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1084112
Fresh000
Picked101
Done000
Total1094113
Error
0.0b
Counts
113 → 4
Alt Table
StatusErrorProgram
0.0b
(/.f32 1 (+.f32 1 (/.f32 1 (exp.f32 (/.f32 x s)))))
24.6b
(fma.f32 (pow.f32 (/.f32 x s) 3) -1/48 (fma.f32 (/.f32 x s) 1/4 1/2))
0.1b
(/.f32 1 (+.f32 1 (*.f32 (*.f32 (cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s)))) (cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s))))) (cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s)))))))
0.1b
(*.f32 (*.f32 (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))))
Compiler

Compiled 1229 to 637 computations (48.2% saved)

localize27.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

rewrite217.0ms (4.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
45×add-cube-cbrt_binary32
20×add-cbrt-cube_binary32
17×pow1_binary32
16×add-sqr-sqrt_binary32
13×add-log-exp_binary32
Counts
4 → 176
Calls

4 calls:

18.0ms
(/.f32 1 (+.f32 1 (/.f32 1 (exp.f32 (/.f32 x s)))))
18.0ms
(+.f32 1 (/.f32 1 (exp.f32 (/.f32 x s))))
15.0ms
(/.f32 1 (exp.f32 (/.f32 x s)))
12.0ms
(exp.f32 (/.f32 x s))
Compiler

Compiled 2583 to 1589 computations (38.5% saved)

series126.0ms (2.7%)

Error
0.0b
Counts
4 → 60
Calls

4 calls:

62.0ms
(/.f32 1 (+.f32 1 (/.f32 1 (exp.f32 (/.f32 x s)))))
19.0ms
(/.f32 1 (exp.f32 (/.f32 x s)))
18.0ms
(+.f32 1 (/.f32 1 (exp.f32 (/.f32 x s))))
15.0ms
(exp.f32 (/.f32 x s))
Compiler

Compiled 1358 to 1100 computations (19% saved)

simplify125.0ms (2.6%)

Algorithm
egg-herbie
Rules
689×times-frac_binary32
358×fma-neg_binary32
347×associate-*l*_binary32
309×associate-/l*_binary32
298×fma-def_binary32
Counts
236 → 136
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01742959
13652695
210572619
344802612
449912612

prune61.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1360136
Fresh033
Picked011
Done000
Total1364140
Error
0.0b
Counts
140 → 4
Alt Table
StatusErrorProgram
0.0b
(/.f32 1 (+.f32 1 (/.f32 1 (exp.f32 (/.f32 x s)))))
24.6b
(fma.f32 (pow.f32 (/.f32 x s) 3) -1/48 (fma.f32 (/.f32 x s) 1/4 1/2))
0.1b
(/.f32 1 (+.f32 1 (*.f32 (*.f32 (cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s)))) (cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s))))) (cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s)))))))
0.1b
(*.f32 (*.f32 (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))))
Compiler

Compiled 1498 to 777 computations (48.1% saved)

localize40.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b
(exp.f32 (neg.f32 (/.f32 x s)))
0.3b
(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
0.3b
(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
0.3b
(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))

rewrite206.0ms (4.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
27×add-cube-cbrt_binary32
16×add-sqr-sqrt_binary32
15×cbrt-div_binary32
13×pow1/3_binary32
12×log1p-expm1-u_binary32
Counts
4 → 143
Calls

4 calls:

12.0ms
(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
11.0ms
(exp.f32 (neg.f32 (/.f32 x s)))
10.0ms
(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
10.0ms
(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
Compiler

Compiled 3837 to 2124 computations (44.6% saved)

series193.0ms (4.1%)

Error
0.0b
Counts
4 → 60
Calls

4 calls:

50.0ms
(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
49.0ms
(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
46.0ms
(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
21.0ms
(exp.f32 (neg.f32 (/.f32 x s)))
Compiler

Compiled 3886 to 2769 computations (28.7% saved)

simplify140.0ms (3%)

Algorithm
egg-herbie
Rules
651×fma-neg_binary32
411×distribute-rgt-neg-in_binary32
293×distribute-neg-frac_binary32
288×unswap-sqr_binary32
224×associate-*r*_binary32
Counts
203 → 98
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0973086
12062892
26052703
326682703
448832703
549362703

prune51.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh022
Picked011
Done011
Total984102
Error
0.0b
Counts
102 → 4
Alt Table
StatusErrorProgram
0.0b
(/.f32 1 (+.f32 1 (/.f32 1 (exp.f32 (/.f32 x s)))))
24.6b
(fma.f32 (pow.f32 (/.f32 x s) 3) -1/48 (fma.f32 (/.f32 x s) 1/4 1/2))
0.1b
(/.f32 1 (+.f32 1 (*.f32 (*.f32 (cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s)))) (cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s))))) (cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s)))))))
0.1b
(*.f32 (*.f32 (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))))
Compiler

Compiled 1639 to 908 computations (44.6% saved)

localize39.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.1b
(*.f32 (cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s)))) (cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
0.5b
(cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s))))
0.5b
(cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s))))
0.5b
(cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s))))

rewrite207.0ms (4.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
32×pow1/3_binary32
31×cbrt-div_binary32
31×exp-diff_binary32
31×neg-sub0_binary32
28×add-cube-cbrt_binary32
Counts
4 → 160
Calls

4 calls:

15.0ms
(*.f32 (cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s)))) (cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
12.0ms
(cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s))))
11.0ms
(cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s))))
11.0ms
(cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s))))
Compiler

Compiled 3530 to 981 computations (72.2% saved)

series147.0ms (3.1%)

Error
0.0b
Counts
4 → 60
Calls

4 calls:

35.0ms
(*.f32 (cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s)))) (cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
30.0ms
(cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s))))
30.0ms
(cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s))))
29.0ms
(cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s))))
Compiler

Compiled 2790 to 1693 computations (39.3% saved)

simplify139.0ms (2.9%)

Algorithm
egg-herbie
Rules
797×cancel-sign-sub-inv_binary32
500×fma-neg_binary32
398×log-prod_binary32
257×associate-*l*_binary32
239×associate-*r*_binary32
Counts
220 → 143
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01102778
12352385
26002225
323472212
446852212
552062212

prune86.0ms (1.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1430143
Fresh011
Picked011
Done022
Total1434147
Error
0.0b
Counts
147 → 4
Alt Table
StatusErrorProgram
0.0b
(/.f32 1 (+.f32 1 (/.f32 1 (exp.f32 (/.f32 x s)))))
24.6b
(fma.f32 (pow.f32 (/.f32 x s) 3) -1/48 (fma.f32 (/.f32 x s) 1/4 1/2))
0.1b
(/.f32 1 (+.f32 1 (*.f32 (*.f32 (cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s)))) (cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s))))) (cbrt.f32 (exp.f32 (neg.f32 (/.f32 x s)))))))
0.1b
(*.f32 (*.f32 (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))))
Compiler

Compiled 2240 to 874 computations (61% saved)

regimes892.0ms (18.9%)

Accuracy

Total 0.0b remaining (33.4%)

Threshold costs 0.0b (33.4%)

Compiler

Compiled 16535 to 12570 computations (24% saved)

simplify4.0ms (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
0914
11714
22314
32714
42814
52814

end1.0ms (0%)

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.2s (24.4%)

Algorithm
intervals
Results
464.0ms8000×body128valid
129.0ms8000×pre128true
Compiler

Compiled 114 to 76 computations (33.3% saved)

Profiling

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