Details

Time bar (total: 25.8s)

analyze1.1s (4.4%)

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)

sample15.8s (61.4%)

Results
11.7s4905×body8192exit
1.9s3271×body1024invalid
1.3s8256×body128valid
589.0ms1637×body512invalid
192.0ms829×body256invalid
81.0ms616×body128invalid
13.0msbody4096invalid
3.0msbody8192invalid
1.0msbody2048invalid
Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify87.0ms (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
0.2b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.2b
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
0.2b
(*.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))
0.2b
(pow.f64 l (exp.f64 w))

series308.0ms (1.2%)

Counts
2 → 40
Calls

2 calls:

158.0ms
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
150.0ms
(pow.f64 l (exp.f64 w))

rewrite9.0ms (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))
2.0ms
(pow.f64 l (exp.f64 w))

simplify81.0ms (0.3%)

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

prune62.0ms (0.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New87491
Fresh101
Picked101
Done000
Total89493
Error
0.0b
Counts
93 → 4
Alt Table
StatusErrorProgram
8.1b
(/.f64 (fma.f64 (*.f64 l (*.f64 w w)) (*.f64 (log.f64 l) (+.f64 1/2 (log.f64 (sqrt.f64 l)))) (fma.f64 (log.f64 l) (*.f64 l w) l)) (exp.f64 w))
0.3b
(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 w))
13.1b
(fma.f64 w (-.f64 (*.f64 l (log.f64 l)) l) l)
4.7b
(exp.f64 (-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w))
Compiler

Compiled 1702 to 560 computations (67.1% saved)

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (exp.f64 w))
0.0b
(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 w))
0.2b
(pow.f64 l (sqrt.f64 (exp.f64 w)))
0.2b
(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))

series1.7s (6.6%)

Counts
4 → 64
Calls

4 calls:

785.0ms
(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
781.0ms
(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 w))
143.0ms
(pow.f64 l (sqrt.f64 (exp.f64 w)))
3.0ms
(sqrt.f64 (exp.f64 w))

rewrite19.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
53×unpow-prod-down_binary64
38×add-sqr-sqrt_binary64
37×*-un-lft-identity_binary64
37×add-cube-cbrt_binary64
33×times-frac_binary64
Counts
4 → 133
Calls

4 calls:

5.0ms
(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (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)))
1.0ms
(sqrt.f64 (exp.f64 w))

simplify148.0ms (0.6%)

Algorithm
egg-herbie
Rules
559×times-frac_binary64
320×fma-neg_binary64
176×exp-prod_binary64
165×distribute-rgt-out_binary64
164×cancel-sign-sub-inv_binary64
Counts
197 → 205
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02574070
15743385
219923340
344483340
449543340
550133340

prune128.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2292231
Fresh123
Picked101
Done000
Total2314235
Error
0.0b
Counts
235 → 4
Alt Table
StatusErrorProgram
8.1b
(/.f64 (fma.f64 (*.f64 l (*.f64 w w)) (*.f64 (log.f64 l) (+.f64 1/2 (log.f64 (sqrt.f64 l)))) (fma.f64 (log.f64 l) (*.f64 l w) l)) (exp.f64 w))
1.4b
(/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l)) (sqrt.f64 (exp.f64 w))) (pow.f64 (cbrt.f64 l) (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w))) (exp.f64 w))
12.9b
(+.f64 l (*.f64 l (-.f64 (*.f64 (log.f64 l) w) w)))
4.7b
(exp.f64 (-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w))
Compiler

Compiled 4997 to 1328 computations (73.4% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l)) (sqrt.f64 (exp.f64 w)))
0.2b
(pow.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l)) (sqrt.f64 (exp.f64 w))) (pow.f64 (cbrt.f64 l) (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w)))
0.6b
(*.f64 (cbrt.f64 l) (cbrt.f64 l))
0.6b
(cbrt.f64 l)

series5.2s (20.1%)

Counts
4 → 72
Calls

4 calls:

4.0s
(pow.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l)) (sqrt.f64 (exp.f64 w))) (pow.f64 (cbrt.f64 l) (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w)))
1.2s
(pow.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l)) (sqrt.f64 (exp.f64 w)))
33.0ms
(*.f64 (cbrt.f64 l) (cbrt.f64 l))
27.0ms
(cbrt.f64 l)

rewrite21.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
30×add-exp-log_binary64
25×pow-exp_binary64
25×add-sqr-sqrt_binary64
20×pow1_binary64
19×cbrt-prod_binary64
Counts
4 → 118
Calls

4 calls:

5.0ms
(pow.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l)) (sqrt.f64 (exp.f64 w))) (pow.f64 (cbrt.f64 l) (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w)))
4.0ms
(*.f64 (cbrt.f64 l) (cbrt.f64 l))
4.0ms
(pow.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l)) (sqrt.f64 (exp.f64 w)))
1.0ms
(cbrt.f64 l)

simplify161.0ms (0.6%)

Algorithm
egg-herbie
Rules
641×unswap-sqr_binary64
564×associate-*r*_binary64
390×associate-*l*_binary64
314×fma-def_binary64
275×associate-+r+_binary64
Counts
190 → 180
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03194250
18653761
235553667
346853657
449843657
549433657

prune130.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2151216
Fresh033
Picked101
Done000
Total2164220
Error
0.0b
Counts
220 → 4
Alt Table
StatusErrorProgram
8.1b
(/.f64 (fma.f64 (*.f64 l (*.f64 w w)) (*.f64 (log.f64 l) (+.f64 1/2 (log.f64 (sqrt.f64 l)))) (fma.f64 (log.f64 l) (*.f64 l w) l)) (exp.f64 w))
12.9b
(+.f64 l (*.f64 l (-.f64 (*.f64 (log.f64 l) w) w)))
4.9b
(/.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 l 2/3) (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (pow.f64 (cbrt.f64 l) (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w))) (exp.f64 w))
4.7b
(exp.f64 (-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w))
Compiler

Compiled 7508 to 2594 computations (65.5% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w)
0.0b
(*.f64 (log.f64 l) (exp.f64 w))
4.6b
(exp.f64 (-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w))

series211.0ms (0.8%)

Counts
3 → 38
Calls

3 calls:

136.0ms
(*.f64 (log.f64 l) (exp.f64 w))
44.0ms
(-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w)
32.0ms
(exp.f64 (-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w))

rewrite16.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64
10×add-cube-cbrt_binary64
add-log-exp_binary64
exp-sum_binary64
Counts
3 → 63
Calls

3 calls:

5.0ms
(-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w)
5.0ms
(exp.f64 (-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w))
4.0ms
(*.f64 (log.f64 l) (exp.f64 w))

simplify75.0ms (0.3%)

Algorithm
egg-herbie
Rules
370×associate-+l+_binary64
337×*-commutative_binary64
302×sub-neg_binary64
269×cancel-sign-sub-inv_binary64
248×times-frac_binary64
Counts
101 → 123
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01701533
14031457
214691281
338151281
449111281

prune65.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1212123
Fresh033
Picked101
Done000
Total1225127
Error
0.0b
Counts
127 → 5
Alt Table
StatusErrorProgram
4.7b
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w))) (cbrt.f64 (exp.f64 (-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w)))) (cbrt.f64 (exp.f64 (-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w))))
8.1b
(/.f64 (fma.f64 (*.f64 l (*.f64 w w)) (*.f64 (log.f64 l) (+.f64 1/2 (log.f64 (sqrt.f64 l)))) (fma.f64 (log.f64 l) (*.f64 l w) l)) (exp.f64 w))
12.9b
(+.f64 (fma.f64 (log.f64 l) (*.f64 l w) l) (-.f64 (*.f64 (*.f64 l (*.f64 w w)) (+.f64 (*.f64 1/2 (pow.f64 (log.f64 l) 2)) 1/2)) (*.f64 l (+.f64 w (*.f64 1/2 (*.f64 w (*.f64 w (log.f64 l))))))))
12.9b
(+.f64 l (*.f64 l (-.f64 (*.f64 (log.f64 l) w) w)))
4.9b
(/.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 l 2/3) (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (pow.f64 (cbrt.f64 l) (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w))) (exp.f64 w))
Compiler

Compiled 2066 to 694 computations (66.4% saved)

regimes260.0ms (1%)

Accuracy

Total 0.2b remaining (57.5%)

Threshold costs 0.2b (57.5%)

Counts
98 → 1
Compiler

Compiled 4562 to 2650 computations (41.9% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11114
21014

end93.0ms (0.4%)

Compiler

Compiled 157 to 84 computations (46.5% saved)

Profiling

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