Details

Time bar (total: 29.0s)

analyze1.1s (3.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
12.5%87.4%0.1%5
12.5%78%9.5%6
20.3%68.7%11%7
21.1%62.4%16.5%8
25.4%57%17.7%9
26%52.1%22%10
28.3%49%22.7%11
28.6%47.2%24.2%12
29.8%45.6%24.7%13
29.9%43.9%26.2%14
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample14.6s (50.5%)

Results
10.7s4654×body8192exit
1.9s3258×body1024invalid
1.2s8256×body128valid
547.0ms1595×body512invalid
171.0ms774×body256invalid
83.0ms591×body128invalid
6.0msbody8192invalid
4.0msbody2048invalid
2.0msbody4096invalid
Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify91.0ms (0.3%)

Algorithm
egg-herbie
Rules
656×unswap-sqr_binary64
607×times-frac_binary64
540×sqr-pow_binary64
391×pow-sqr_binary64
205×associate-*l*_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0813
11913
23711
37911
420011
563511
6230111
7229811
8241011
9263711
10306711
11369811
12490711
13489011

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.3b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.3b
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
0.3b
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
Compiler

Compiled 55 to 32 computations (41.8% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
0.3b
(pow.f64 l (exp.f64 w))

series250.0ms (0.9%)

Counts
2 → 44
Calls

2 calls:

127.0ms
(pow.f64 l (exp.f64 w))
124.0ms
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

rewrite10.0ms (0%)

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64
associate-*r*_binary64
*-un-lft-identity_binary64
unpow-prod-down_binary64
add-cube-cbrt_binary64
Counts
2 → 48
Calls

2 calls:

6.0ms
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
2.0ms
(pow.f64 l (exp.f64 w))

simplify66.0ms (0.2%)

Algorithm
egg-herbie
Rules
888×fma-def_binary64
739×fma-neg_binary64
459×associate-+l+_binary64
213×associate--l+_binary64
162×cancel-sign-sub-inv_binary64
Counts
92 → 85
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01341391
13481242
213071192
345111192
451321192

prune79.0ms (0.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New79685
Fresh101
Picked101
Done000
Total81687
Error
0.1b
Counts
87 → 6
Alt Table
StatusErrorProgram
0.3b
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
4.8b
(*.f64 (exp.f64 (neg.f64 w)) (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))))
10.4b
(*.f64 (exp.f64 (neg.f64 w)) (+.f64 l (fma.f64 (*.f64 l (pow.f64 w 3)) (*.f64 (log.f64 l) (+.f64 1/6 (log.f64 (sqrt.f64 l)))) (fma.f64 (*.f64 l (*.f64 w w)) (*.f64 (log.f64 l) (+.f64 1/2 (log.f64 (sqrt.f64 l)))) (*.f64 l (+.f64 (*.f64 (log.f64 l) w) (*.f64 (*.f64 1/6 (pow.f64 (log.f64 l) 3)) (pow.f64 w 3))))))))
1.4b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))) (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))))
0.4b
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (cbrt.f64 (exp.f64 w))))
13.4b
(-.f64 (+.f64 (*.f64 1/2 (*.f64 l (pow.f64 w 2))) (+.f64 (*.f64 1/6 (*.f64 (log.f64 l) (*.f64 l (pow.f64 w 3)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (log.f64 l) 3) (*.f64 l (pow.f64 w 3)))) (+.f64 (*.f64 (log.f64 l) (*.f64 l w)) (+.f64 l (*.f64 1/2 (*.f64 (pow.f64 (log.f64 l) 2) (*.f64 l (pow.f64 w 2))))))))) (+.f64 (*.f64 1/6 (*.f64 l (pow.f64 w 3))) (+.f64 (*.f64 1/2 (*.f64 (log.f64 l) (*.f64 l (pow.f64 w 2)))) (*.f64 l w))))
Compiler

Compiled 1871 to 686 computations (63.3% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
0.3b
(pow.f64 l (sqrt.f64 (exp.f64 w)))
0.3b
(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))

series1.3s (4.4%)

Counts
3 → 64
Calls

3 calls:

580.0ms
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
575.0ms
(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
123.0ms
(pow.f64 l (sqrt.f64 (exp.f64 w)))

rewrite19.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
27×unpow-prod-down_binary64
22×add-sqr-sqrt_binary64
14×*-un-lft-identity_binary64
14×add-cube-cbrt_binary64
12×pow-unpow_binary64
Counts
3 → 87
Calls

3 calls:

9.0ms
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
3.0ms
(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
2.0ms
(pow.f64 l (sqrt.f64 (exp.f64 w)))

simplify71.0ms (0.2%)

Algorithm
egg-herbie
Rules
625×associate-+l+_binary64
215×associate-*r*_binary64
213×associate--l+_binary64
204×unswap-sqr_binary64
181×times-frac_binary64
Counts
151 → 143
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01992748
15042260
218342201
349492201

prune149.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1403143
Fresh235
Picked101
Done000
Total1436149
Error
0.1b
Counts
149 → 6
Alt Table
StatusErrorProgram
0.4b
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w))))
1.4b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))) (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))))
0.7b
(*.f64 (*.f64 (sqrt.f64 (exp.f64 (neg.f64 w))) (pow.f64 (pow.f64 (sqrt.f64 l) (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 w))) (pow.f64 (pow.f64 (sqrt.f64 l) (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))))
0.4b
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (cbrt.f64 (exp.f64 w))))
7.5b
(*.f64 (exp.f64 (neg.f64 w)) (+.f64 (fma.f64 (log.f64 l) (*.f64 l w) l) (*.f64 (*.f64 l (*.f64 w w)) (*.f64 (log.f64 l) (+.f64 1/2 (log.f64 (sqrt.f64 l)))))))
13.4b
(-.f64 (+.f64 (*.f64 1/2 (*.f64 l (pow.f64 w 2))) (+.f64 (*.f64 1/6 (*.f64 (log.f64 l) (*.f64 l (pow.f64 w 3)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (log.f64 l) 3) (*.f64 l (pow.f64 w 3)))) (+.f64 (*.f64 (log.f64 l) (*.f64 l w)) (+.f64 l (*.f64 1/2 (*.f64 (pow.f64 (log.f64 l) 2) (*.f64 l (pow.f64 w 2))))))))) (+.f64 (*.f64 1/6 (*.f64 l (pow.f64 w 3))) (+.f64 (*.f64 1/2 (*.f64 (log.f64 l) (*.f64 l (pow.f64 w 2)))) (*.f64 l w))))
Compiler

Compiled 3571 to 1020 computations (71.4% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w))))
0.3b
(pow.f64 (pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w)))
0.3b
(pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w))))
0.3b
(pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))

series4.7s (16.3%)

Counts
4 → 96
Calls

4 calls:

1.8s
(pow.f64 (pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w)))
1.7s
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w))))
1.0s
(pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
180.0ms
(pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w))))

rewrite33.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
64×unpow-prod-down_binary64
36×add-sqr-sqrt_binary64
26×pow-unpow_binary64
23×pow-exp_binary64
23×*-un-lft-identity_binary64
Counts
4 → 137
Calls

4 calls:

9.0ms
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w))))
5.0ms
(pow.f64 (pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w)))
3.0ms
(pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
3.0ms
(pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w))))

simplify203.0ms (0.7%)

Algorithm
egg-herbie
Rules
334×exp-prod_binary64
328×associate-*r*_binary64
319×unswap-sqr_binary64
295×sqr-pow_binary64
268×associate-*l*_binary64
Counts
233 → 243
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02977295
17296381
226235466
342105456
449905456
549635456

prune290.0ms (1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2403243
Fresh235
Picked101
Done000
Total2436249
Error
0.1b
Counts
249 → 6
Alt Table
StatusErrorProgram
0.4b
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w)))))
0.4b
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 l (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) (cbrt.f64 (cbrt.f64 (exp.f64 w))))) (cbrt.f64 (fabs.f64 (cbrt.f64 (exp.f64 w))))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w))))
4.8b
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (exp.f64 (*.f64 (log.f64 l) (pow.f64 (pow.f64 (exp.f64 w) 1/6) 3))) (sqrt.f64 (exp.f64 w))))
0.7b
(*.f64 (*.f64 (sqrt.f64 (exp.f64 (neg.f64 w))) (pow.f64 (pow.f64 (sqrt.f64 l) (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 w))) (pow.f64 (pow.f64 (sqrt.f64 l) (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))))
7.5b
(*.f64 (exp.f64 (neg.f64 w)) (+.f64 (fma.f64 (log.f64 l) (*.f64 l w) l) (*.f64 (*.f64 l (*.f64 w w)) (*.f64 (log.f64 l) (+.f64 1/2 (log.f64 (sqrt.f64 l)))))))
13.4b
(-.f64 (+.f64 (*.f64 1/2 (*.f64 l (pow.f64 w 2))) (+.f64 (*.f64 1/6 (*.f64 (log.f64 l) (*.f64 l (pow.f64 w 3)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (log.f64 l) 3) (*.f64 l (pow.f64 w 3)))) (+.f64 (*.f64 (log.f64 l) (*.f64 l w)) (+.f64 l (*.f64 1/2 (*.f64 (pow.f64 (log.f64 l) 2) (*.f64 l (pow.f64 w 2))))))))) (+.f64 (*.f64 1/6 (*.f64 l (pow.f64 w 3))) (+.f64 (*.f64 1/2 (*.f64 (log.f64 l) (*.f64 l (pow.f64 w 2)))) (*.f64 l w))))
Compiler

Compiled 8311 to 2593 computations (68.8% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w))))
0.3b
(pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
0.3b
(pow.f64 (pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w))))
0.3b
(pow.f64 (pow.f64 (pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w))))

series5.0s (17.1%)

Counts
2 → 48
Calls

2 calls:

3.0s
(pow.f64 (pow.f64 (pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w))))
1.9s
(pow.f64 (pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w))))

rewrite17.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
57×unpow-prod-down_binary64
25×pow-exp_binary64
18×sqrt-prod_binary64
18×pow-unpow_binary64
15×*-un-lft-identity_binary64
Counts
2 → 80
Calls

2 calls:

7.0ms
(pow.f64 (pow.f64 (pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w))))
4.0ms
(pow.f64 (pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w))))

simplify132.0ms (0.5%)

Algorithm
egg-herbie
Rules
902×fma-def_binary64
342×associate-+l+_binary64
330×exp-prod_binary64
317×sqr-pow_binary64
224×associate-*r*_binary64
Counts
128 → 137
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02315621
15655044
217574495
347394139
450774139

prune277.0ms (1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2401241
Fresh055
Picked101
Done000
Total2416247
Error
0.1b
Counts
247 → 6
Alt Table
StatusErrorProgram
0.4b
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 l (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) (cbrt.f64 (cbrt.f64 (exp.f64 w))))) (cbrt.f64 (fabs.f64 (cbrt.f64 (exp.f64 w))))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w))))
4.8b
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (exp.f64 (*.f64 (log.f64 l) (pow.f64 (pow.f64 (exp.f64 w) 1/6) 3))) (sqrt.f64 (exp.f64 w))))
1.5b
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l)) (cbrt.f64 (exp.f64 w))) (pow.f64 (cbrt.f64 l) (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (sqrt.f64 (exp.f64 w)))))
0.7b
(*.f64 (*.f64 (sqrt.f64 (exp.f64 (neg.f64 w))) (pow.f64 (pow.f64 (sqrt.f64 l) (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 w))) (pow.f64 (pow.f64 (sqrt.f64 l) (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))))
7.5b
(*.f64 (exp.f64 (neg.f64 w)) (+.f64 (fma.f64 (log.f64 l) (*.f64 l w) l) (*.f64 (*.f64 l (*.f64 w w)) (*.f64 (log.f64 l) (+.f64 1/2 (log.f64 (sqrt.f64 l)))))))
13.4b
(-.f64 (+.f64 (*.f64 1/2 (*.f64 l (pow.f64 w 2))) (+.f64 (*.f64 1/6 (*.f64 (log.f64 l) (*.f64 l (pow.f64 w 3)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (log.f64 l) 3) (*.f64 l (pow.f64 w 3)))) (+.f64 (*.f64 (log.f64 l) (*.f64 l w)) (+.f64 l (*.f64 1/2 (*.f64 (pow.f64 (log.f64 l) 2) (*.f64 l (pow.f64 w 2))))))))) (+.f64 (*.f64 1/6 (*.f64 l (pow.f64 w 3))) (+.f64 (*.f64 1/2 (*.f64 (log.f64 l) (*.f64 l (pow.f64 w 2)))) (*.f64 l w))))
Compiler

Compiled 9243 to 2665 computations (71.2% saved)

regimes432.0ms (1.5%)

Accuracy

Total 0.2b remaining (65%)

Threshold costs 0.2b (65%)

Counts
153 → 1
Compiler

Compiled 10622 to 6424 computations (39.5% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01022
11522
21722
31822
41822

end131.0ms (0.5%)

Compiler

Compiled 258 to 148 computations (42.6% saved)

Profiling

Loading profile data...