Details

Time bar (total: 21.0s)

analyze1.0s (4.8%)

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)

sample14.8s (70.4%)

Results
10.9s4754×body8192exit
1.8s3320×body1024invalid
1.2s8256×body128valid
563.0ms1637×body512invalid
192.0ms872×body256invalid
78.0ms609×body128invalid
3.0msbody2048invalid
3.0msbody8192invalid
Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify86.0ms (0.4%)

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

prune2.0ms (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)

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

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

series278.0ms (1.3%)

Counts
2 → 40
Calls

2 calls:

143.0ms
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
135.0ms
(pow.f64 l (exp.f64 w))

rewrite8.0ms (0%)

Algorithm
rewrite-expression-head
Rules
21×times-frac_binary64
20×*-un-lft-identity_binary64
20×add-sqr-sqrt_binary64
20×add-cube-cbrt_binary64
15×unpow-prod-down_binary64
Counts
2 → 66
Calls

2 calls:

4.0ms
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
1.0ms
(pow.f64 l (exp.f64 w))

simplify80.0ms (0.4%)

Algorithm
egg-herbie
Rules
847×fma-def_binary64
696×associate-*l*_binary64
359×fma-neg_binary64
322×times-frac_binary64
234×associate-/l*_binary64
Counts
106 → 91
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01571790
13751705
213261665
348941665
451161665

prune64.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New86591
Fresh101
Picked101
Done000
Total88593
Error
0.0b
Counts
93 → 5
Alt Table
StatusErrorProgram
1.3b
(*.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))))
12.4b
(-.f64 (+.f64 l (*.f64 (log.f64 l) (*.f64 l w))) (*.f64 l w))
4.7b
(/.f64 (exp.f64 (log.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))
2.7b
(/.f64 (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))
8.7b
(/.f64 (+.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 1/6 (*.f64 (pow.f64 (log.f64 l) 3) (pow.f64 w 3)))))))) (exp.f64 w))
Compiler

Compiled 1812 to 610 computations (66.3% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.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))))
0.3b
(pow.f64 l (exp.f64 w))
0.4b
(*.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))))
0.4b
(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))

series2.2s (10.6%)

Counts
3 → 72
Calls

3 calls:

1.3s
(*.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))))
791.0ms
(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
143.0ms
(*.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))))

rewrite74.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
194×cbrt-prod_binary64
169×add-sqr-sqrt_binary64
159×times-frac_binary64
92×*-un-lft-identity_binary64
92×add-cube-cbrt_binary64
Counts
3 → 238
Calls

3 calls:

19.0ms
(*.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))))
16.0ms
(*.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))))
3.0ms
(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))

simplify276.0ms (1.3%)

Algorithm
egg-herbie
Rules
522×associate-*r*_binary64
506×associate-*l*_binary64
472×times-frac_binary64
261×fma-neg_binary64
218×*-commutative_binary64
Counts
310 → 367
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043410558
19239633
235999333
347419331
449989331
548209331

prune294.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New5722574
Fresh044
Picked101
Done000
Total5736579
Error
0.0b
Counts
579 → 6
Alt Table
StatusErrorProgram
29.6b
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 2) (pow.f64 (exp.f64 w) 2))) (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))))
8.7b
(/.f64 (+.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 1/6 (*.f64 (pow.f64 (log.f64 l) 3) (pow.f64 w 3)))))))) (exp.f64 w))
12.4b
(-.f64 (+.f64 l (*.f64 (log.f64 l) (*.f64 l w))) (*.f64 l w))
4.7b
(/.f64 (exp.f64 (log.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))
2.7b
(/.f64 (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))
2.6b
(*.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)))) (expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))))))
Compiler

Compiled 21908 to 4234 computations (80.7% saved)

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 l (exp.f64 w))
0.4b
(*.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))))
0.4b
(cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
1.9b
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))))

series773.0ms (3.7%)

Counts
1 → 24
Calls

1 calls:

773.0ms
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))))

rewrite1.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
1 → 11
Calls

1 calls:

0.0ms
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))))

simplify63.0ms (0.3%)

Algorithm
egg-herbie
Rules
659×associate-*r*_binary64
650×associate-*l*_binary64
649×fma-def_binary64
375×associate-+l+_binary64
271×associate-+r+_binary64
Counts
35 → 29
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
094714
1262665
2902620
34992620
44974620

prune255.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4931494
Fresh145
Picked101
Done000
Total4955500
Error
0.0b
Counts
500 → 5
Alt Table
StatusErrorProgram
12.4b
(-.f64 (+.f64 l (*.f64 (log.f64 l) (*.f64 l w))) (*.f64 l w))
4.7b
(/.f64 (exp.f64 (log.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))
30.0b
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 2) (pow.f64 (exp.f64 w) 2))) (expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))))))
2.7b
(/.f64 (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))
8.7b
(/.f64 (+.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 1/6 (*.f64 (pow.f64 (log.f64 l) 3) (pow.f64 w 3)))))))) (exp.f64 w))
Compiler

Compiled 20636 to 4151 computations (79.9% saved)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))
0.3b
(pow.f64 l (exp.f64 w))
2.5b
(expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w))))

series268.0ms (1.3%)

Counts
2 → 48
Calls

2 calls:

141.0ms
(/.f64 (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))
127.0ms
(expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w))))

rewrite5.0ms (0%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
times-frac_binary64
add-cbrt-cube_binary64
Counts
2 → 41
Calls

2 calls:

3.0ms
(/.f64 (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))
0.0ms
(expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w))))

simplify68.0ms (0.3%)

Algorithm
egg-herbie
Rules
817×fma-def_binary64
451×associate-+l+_binary64
451×associate-*l*_binary64
337×associate-*r*_binary64
214×associate--l+_binary64
Counts
89 → 90
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01261376
13231286
210511251
346561251
449671251

prune64.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1181119
Fresh044
Picked101
Done000
Total1195124
Error
0.0b
Counts
124 → 5
Alt Table
StatusErrorProgram
3.2b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w))))) (cbrt.f64 (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w)))))) 1) (/.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w))))) (exp.f64 w)))
12.4b
(-.f64 (+.f64 l (*.f64 (log.f64 l) (*.f64 l w))) (*.f64 l w))
4.7b
(/.f64 (exp.f64 (log.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))
30.0b
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 2) (pow.f64 (exp.f64 w) 2))) (expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))))))
8.7b
(/.f64 (+.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 1/6 (*.f64 (pow.f64 (log.f64 l) 3) (pow.f64 w 3)))))))) (exp.f64 w))
Compiler

Compiled 2309 to 750 computations (67.5% saved)

regimes187.0ms (0.9%)

Accuracy

Total 0.2b remaining (65.8%)

Threshold costs 0.2b (65.8%)

Counts
71 → 1
Compiler

Compiled 4883 to 2500 computations (48.8% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11114
21014

end85.0ms (0.4%)

Compiler

Compiled 154 to 86 computations (44.2% saved)

Profiling

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