Details

Time bar (total: 4.6s)

analyze94.0ms (2.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%2.1%97.9%0
0%2.1%97.9%1
1%1%97.9%2
1%1%97.9%3
1.5%0.5%97.9%4
1.5%0.5%97.9%5
1.8%0.3%97.9%6
1.8%0.3%97.9%7
1.9%0.1%97.9%8
1.9%0.1%97.9%9
2%0.1%97.9%10
2%0.1%97.9%11
2%0%97.9%12
2%0%97.9%13
2%0%97.9%14
Compiler

Compiled 50 to 36 computations (28% saved)

sample117.0ms (2.6%)

Algorithm
intervals
Results
34.0ms256×body128valid
6.0ms256×pre128true
Compiler

Compiled 87 to 63 computations (27.6% saved)

simplify61.0ms (1.3%)

Algorithm
egg-herbie
Rules
672×fma-neg_binary32
634×associate-*l*_binary32
530×associate-*r*_binary32
445×associate-/r*_binary32
406×*-commutative_binary32
Counts
1 → 2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02653
16643
223735
386432
4257232
5389032
6429332
7487132
8487032

prune5.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))
0.6b
(*.f32 (/.f32 (/.f32 1/8 (*.f32 s (PI.f32))) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 (/.f32 r s)) -1/3)))
Compiler

Compiled 169 to 117 computations (30.8% saved)

localize84.0ms (1.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)
0.3b
(/.f32 (neg.f32 r) (*.f32 3 s))
0.3b
(*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)
0.4b
(*.f32 (*.f32 2 (PI.f32)) s)

series31.0ms (0.7%)

Counts
4 → 84
Calls

4 calls:

10.0ms
(*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)
9.0ms
(*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)
7.0ms
(/.f32 (neg.f32 r) (*.f32 3 s))
5.0ms
(*.f32 (*.f32 2 (PI.f32)) s)

rewrite24.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
32×add-cbrt-cube_binary32
32×add-exp-log_binary32
27×pow1_binary32
16×cbrt-unprod_binary32
16×prod-exp_binary32
Counts
4 → 105
Calls

4 calls:

5.0ms
(*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)
5.0ms
(*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)
4.0ms
(/.f32 (neg.f32 r) (*.f32 3 s))
4.0ms
(*.f32 (*.f32 2 (PI.f32)) s)

simplify96.0ms (2.1%)

Algorithm
egg-herbie
Rules
512×associate-/l*_binary32
418×associate-*l*_binary32
326×associate-/r*_binary32
318×distribute-rgt-neg-out_binary32
310×associate-*r*_binary32
Counts
189 → 153
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01872248
14421951
218851945
345711945
449351945

prune268.0ms (5.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1476153
Fresh011
Picked101
Done000
Total1487155
Error
0.0b
Counts
155 → 7
Alt Table
StatusErrorProgram
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (exp.f32 (log.f32 (*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))))))
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))))
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (cbrt.f32 (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)) (cbrt.f32 (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r))) (cbrt.f32 (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))))
0.6b
(*.f32 (/.f32 (/.f32 1/8 (*.f32 s (PI.f32))) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 (/.f32 r s)) -1/3)))
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))
26.0b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (log.f32 (exp.f32 (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))))
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))
Compiler

Compiled 6318 to 3663 computations (42% saved)

localize81.0ms (1.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f32 s (*.f32 (PI.f32) r))
0.3b
(/.f32 (neg.f32 r) (*.f32 3 s))
0.3b
(*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)
0.3b
(*.f32 (PI.f32) r)

series10.0ms (0.2%)

Counts
2 → 0
Calls

2 calls:

8.0ms
(*.f32 s (*.f32 (PI.f32) r))
2.0ms
(*.f32 (PI.f32) r)

rewrite13.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary32
add-exp-log_binary32
pow1_binary32
add-sqr-sqrt_binary32
associate-*l*_binary32
Counts
2 → 40
Calls

2 calls:

8.0ms
(*.f32 (PI.f32) r)
4.0ms
(*.f32 s (*.f32 (PI.f32) r))

simplify74.0ms (1.6%)

Algorithm
egg-herbie
Rules
533×associate-/l/_binary32
503×times-frac_binary32
479×associate-*l*_binary32
382×*-commutative_binary32
359×associate-*r*_binary32
Counts
40 → 51
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056418
1117345
2365345
31001345
41221345
51572345
62901345
74953345
85164345

prune297.0ms (6.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1440144
Fresh066
Picked011
Done000
Total1447151
Error
0.0b
Counts
151 → 7
Alt Table
StatusErrorProgram
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (exp.f32 (log.f32 (*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))))))
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))))
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (cbrt.f32 (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)) (cbrt.f32 (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r))) (cbrt.f32 (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))))
0.6b
(*.f32 (/.f32 (/.f32 1/8 (*.f32 s (PI.f32))) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 (/.f32 r s)) -1/3)))
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))
26.0b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (log.f32 (exp.f32 (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))))
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))
Compiler

Compiled 5906 to 3150 computations (46.7% saved)

localize87.0ms (1.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(exp.f32 (/.f32 (neg.f32 r) s))
0.3b
(/.f32 (neg.f32 r) (*.f32 3 s))
0.3b
(*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)
0.4b
(*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))

series16.0ms (0.4%)

Counts
2 → 48
Calls

2 calls:

10.0ms
(*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))
6.0ms
(exp.f32 (/.f32 (neg.f32 r) s))

rewrite15.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
34×exp-prod_binary32
30×times-frac_binary32
22×*-un-lft-identity_binary32
22×add-sqr-sqrt_binary32
22×add-cube-cbrt_binary32
Counts
2 → 70
Calls

2 calls:

5.0ms
(*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))
4.0ms
(exp.f32 (/.f32 (neg.f32 r) s))

simplify86.0ms (1.9%)

Algorithm
egg-herbie
Rules
627×times-frac_binary32
352×*-commutative_binary32
335×unswap-sqr_binary32
306×fma-neg_binary32
249×associate-/l/_binary32
Counts
118 → 97
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01571469
13201342
29901331
321261325
448571325
549881325

prune391.0ms (8.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1900190
Fresh055
Picked011
Done011
Total1907197
Error
0.0b
Counts
197 → 7
Alt Table
StatusErrorProgram
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (exp.f32 (log.f32 (*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))))))
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))))
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (cbrt.f32 (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)) (cbrt.f32 (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r))) (cbrt.f32 (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))))
0.6b
(*.f32 (/.f32 (/.f32 1/8 (*.f32 s (PI.f32))) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 (/.f32 r s)) -1/3)))
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))
26.0b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (log.f32 (exp.f32 (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))))
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))
Compiler

Compiled 7792 to 4312 computations (44.7% saved)

localize87.0ms (1.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f32 (neg.f32 r) (*.f32 3 s))
0.3b
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))
0.3b
(*.f32 (PI.f32) r)
0.4b
(*.f32 (*.f32 2 (PI.f32)) s)

series11.0ms (0.2%)

Counts
1 → 0
Calls

1 calls:

11.0ms
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube_binary32
10×add-exp-log_binary32
10×pow1_binary32
cbrt-unprod_binary32
prod-exp_binary32
Counts
1 → 23
Calls

1 calls:

6.0ms
(*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))

simplify73.0ms (1.6%)

Algorithm
egg-herbie
Rules
566×associate-/l/_binary32
539×log-div_binary32
423×sqr-pow_binary32
358×associate-/l*_binary32
313×*-commutative_binary32
Counts
23 → 22
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054368
1123288
2464288
3764288
4968288
51449288
62112288
73465288
84903288
95363288

prune263.0ms (5.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1330133
Fresh044
Picked011
Done022
Total1337140
Error
0.0b
Counts
140 → 7
Alt Table
StatusErrorProgram
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (exp.f32 (log.f32 (*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))))))
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 6 (*.f32 s (*.f32 (PI.f32) r)))))
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (cbrt.f32 (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)) (cbrt.f32 (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r))) (cbrt.f32 (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))))
0.6b
(*.f32 (/.f32 (/.f32 1/8 (*.f32 s (PI.f32))) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 (/.f32 r s)) -1/3)))
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 2 (*.f32 s (*.f32 (PI.f32) r)))) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))
26.0b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (log.f32 (exp.f32 (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))))
0.1b
(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 2 (PI.f32)) (*.f32 s r))) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))
Compiler

Compiled 5271 to 2823 computations (46.4% saved)

regimes100.0ms (2.2%)

Accuracy

Total 0.0b remaining (32%)

Threshold costs 0.0b (32%)

Counts
24 → 1
Compiler

Compiled 2656 to 1933 computations (27.2% saved)

simplify10.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02651
14251
24651
34951
45051
55051

end1.0ms (0%)

Compiler

Compiled 34 to 25 computations (26.5% saved)

sample2.2s (47.3%)

Algorithm
intervals
Results
1.3s8000×body128valid
210.0ms8000×pre128true
Compiler

Compiled 341 to 246 computations (27.9% saved)

Profiling

Loading profile data...