Details

Time bar (total: 3.7s)

analyze374.0ms (10.2%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010752
110752
033
133
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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
25%74.9%0.1%8
31.2%64%4.8%9
31.2%42.1%26.7%10
35.9%37.1%27.1%11
38.2%32.2%29.6%12
47.8%21.6%30.6%13
50.2%19%30.8%14
Compiler

Compiled 16 to 9 computations (43.8% saved)

sample24.0ms (0.7%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0ms11×body128invalid
Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
04113
14113

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Compiler

Compiled 33 to 24 computations (27.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 z (*.f64 z 3)))
0.2b
(*.f64 z (*.f64 z 3))

rewrite41.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64_14802 add-exp-log_binary64_14779 add-cbrt-cube_binary64_14777
add-log-exp_binary64_14780
pow-prod-down_binary64_14812 prod-exp_binary64_14790 add-cube-cbrt_binary64_14776 cbrt-unprod_binary64_14774 add-sqr-sqrt_binary64_14763 *-un-lft-identity_binary64_14741 associate-*l*_binary64_14682
associate-*r*_binary64_14681 *-commutative_binary64_14672 sum-log_binary64_14832 flip3-+_binary64_14744 flip-+_binary64_14715 +-commutative_binary64_14671
Counts
2 → 29
Calls

2 calls:

5.0ms
(*.f64 z (*.f64 z 3))
4.0ms
(+.f64 (*.f64 x y) (*.f64 z (*.f64 z 3)))
Compiler

Compiled 476 to 253 computations (46.8% saved)

series187.0ms (5.1%)

Error
0.0b
Counts
2 → 21
Calls

2 calls:

149.0ms
(+.f64 (*.f64 x y) (*.f64 z (*.f64 z 3)))
26.0ms
(*.f64 z (*.f64 z 3))
Compiler

Compiled 394 to 344 computations (12.7% saved)

simplify95.0ms (2.6%)

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
04926545
14926545

prune33.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New47350
Fresh101
Picked011
Done000
Total48452
Error
0.0b
Counts
52 → 4
Compiler

Compiled 578 to 273 computations (52.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 3 (*.f64 z z)))
0.2b
(*.f64 3 (*.f64 z z))

rewrite40.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64_14802 add-exp-log_binary64_14779 add-cbrt-cube_binary64_14777
add-log-exp_binary64_14780 add-sqr-sqrt_binary64_14763
pow-prod-down_binary64_14812 prod-exp_binary64_14790 add-cube-cbrt_binary64_14776 cbrt-unprod_binary64_14774 *-un-lft-identity_binary64_14741 associate-*l*_binary64_14682
unswap-sqr_binary64_14709 associate-*r*_binary64_14681 *-commutative_binary64_14672 sum-log_binary64_14832 flip3-+_binary64_14744 flip-+_binary64_14715 +-commutative_binary64_14671
Counts
2 → 30
Calls

2 calls:

6.0ms
(*.f64 3 (*.f64 z z))
4.0ms
(+.f64 (*.f64 x y) (*.f64 3 (*.f64 z z)))
Compiler

Compiled 489 to 228 computations (53.4% saved)

series177.0ms (4.8%)

Error
0.0b
Counts
2 → 21
Calls

2 calls:

142.0ms
(+.f64 (*.f64 x y) (*.f64 3 (*.f64 z z)))
25.0ms
(*.f64 3 (*.f64 z z))
Compiler

Compiled 394 to 344 computations (12.7% saved)

simplify88.0ms (2.4%)

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
04926559
14926559

prune34.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New50151
Fresh022
Picked011
Done011
Total50555
Error
0.0b
Counts
55 → 5
Compiler

Compiled 599 to 287 computations (52.1% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 z z) (cbrt.f64 3))))
0.2b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 z z) (cbrt.f64 3)))
0.2b
(*.f64 (*.f64 z z) (cbrt.f64 3))

rewrite110.0ms (3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
29×pow1_binary64_14802 add-exp-log_binary64_14779
18×pow-prod-down_binary64_14812 prod-exp_binary64_14790 cbrt-unprod_binary64_14774
17×add-cbrt-cube_binary64_14777
add-sqr-sqrt_binary64_14763 associate-*r*_binary64_14681
add-log-exp_binary64_14780 add-cube-cbrt_binary64_14776 *-un-lft-identity_binary64_14741
cbrt-prod_binary64_14772
unswap-sqr_binary64_14709 associate-*l*_binary64_14682 *-commutative_binary64_14672
sum-log_binary64_14832 flip3-+_binary64_14744 flip-+_binary64_14715 +-commutative_binary64_14671
Counts
3 → 62
Calls

3 calls:

14.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 z z) (cbrt.f64 3)))
8.0ms
(*.f64 (*.f64 z z) (cbrt.f64 3))
5.0ms
(+.f64 (*.f64 x y) (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 z z) (cbrt.f64 3))))
Compiler

Compiled 1511 to 994 computations (34.2% saved)

series383.0ms (10.4%)

Error
0.0b
Counts
3 → 24
Calls

3 calls:

264.0ms
(+.f64 (*.f64 x y) (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 z z) (cbrt.f64 3))))
64.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 z z) (cbrt.f64 3)))
39.0ms
(*.f64 (*.f64 z z) (cbrt.f64 3))
Compiler

Compiled 670 to 608 computations (9.3% saved)

simplify65.0ms (1.8%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05278912

prune69.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New85186
Fresh112
Picked011
Done022
Total86591
Error
0.0b
Counts
91 → 5
Compiler

Compiled 1232 to 717 computations (41.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 3 (*.f64 z z))
0.4b
(*.f64 (sqrt.f64 (*.f64 3 (*.f64 z z))) (sqrt.f64 (*.f64 3 (*.f64 z z))))
14.3b
(sqrt.f64 (*.f64 3 (*.f64 z z)))
14.3b
(sqrt.f64 (*.f64 3 (*.f64 z z)))

rewrite143.0ms (3.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
148×pow1_binary64_14802
80×pow-prod-down_binary64_14812
66×sqrt-pow1_binary64_14759
17×pow-prod-up_binary64_14811
14×pow1/2_binary64_14821
12×add-sqr-sqrt_binary64_14763
11×add-exp-log_binary64_14779 add-cbrt-cube_binary64_14777 pow-sqr_binary64_14714
add-cube-cbrt_binary64_14776 *-un-lft-identity_binary64_14741
associate-*l*_binary64_14682
sqrt-prod_binary64_14757
associate-*r*_binary64_14681
add-log-exp_binary64_14780 prod-exp_binary64_14790 cbrt-unprod_binary64_14774 swap-sqr_binary64_14708
unswap-sqr_binary64_14709 *-commutative_binary64_14672
pow2_binary64_14822 pow-plus_binary64_14804 sqrt-unprod_binary64_14761 rem-square-sqrt_binary64_14753
Counts
4 → 109
Calls

4 calls:

15.0ms
(*.f64 (sqrt.f64 (*.f64 3 (*.f64 z z))) (sqrt.f64 (*.f64 3 (*.f64 z z))))
6.0ms
(*.f64 3 (*.f64 z z))
5.0ms
(sqrt.f64 (*.f64 3 (*.f64 z z)))
5.0ms
(sqrt.f64 (*.f64 3 (*.f64 z z)))
Compiler

Compiled 2280 to 1253 computations (45% saved)

series149.0ms (4.1%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

52.0ms
(*.f64 (sqrt.f64 (*.f64 3 (*.f64 z z))) (sqrt.f64 (*.f64 3 (*.f64 z z))))
32.0ms
(sqrt.f64 (*.f64 3 (*.f64 z z)))
29.0ms
(sqrt.f64 (*.f64 3 (*.f64 z z)))
26.0ms
(*.f64 3 (*.f64 z z))
Compiler

Compiled 543 to 437 computations (19.5% saved)

simplify81.0ms (2.2%)

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04997772
14997772

prune95.0ms (2.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1210121
Fresh011
Picked011
Done033
Total1215126
Error
0.0b
Counts
126 → 5
Compiler

Compiled 1883 to 991 computations (47.4% saved)

regimes273.0ms (7.4%)

Accuracy

Total 0.1b remaining (92.9%)

Threshold costs 0.1b (92.9%)

Compiler

Compiled 2390 to 2117 computations (11.4% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
11313
Compiler

Compiled 18 to 16 computations (11.1% saved)

end0.0ms (0%)

sample1.2s (31.7%)

Algorithm
intervals
Results
248.0ms8000×body128valid
13.0ms451×body128invalid
Compiler

Compiled 400 to 351 computations (12.3% saved)

Profiling

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