Details

Time bar (total: 8.3s)

analyze637.0ms (7.6%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0536548
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%87.4%12.6%5
9.4%65.5%25.1%6
14%60.8%25.1%7
19.5%49.1%31.4%8
24.6%37.8%37.6%9
28.7%33.7%37.6%10
33.3%26%40.7%11
36.2%19.9%43.8%12
38.6%17.6%43.8%13
41.3%13.3%45.4%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample24.0ms (0.3%)

Algorithm
intervals
Results
11.0ms256×body128valid
1.0ms25×body128nan
0.0msbody128invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify261.0ms (3.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (255.0ms)

IterNodesCost
0506312

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
11.7b
Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
0.2b
(*.f64 x (log.f64 (/.f64 x y)))
11.4b
(log.f64 (/.f64 x y))

rewrite139.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0.3b
Rules
65×log-prod_binary64_13804
45×times-frac_binary64_13724
43×add-sqr-sqrt_binary64_13740
41×add-cube-cbrt_binary64_13753 *-un-lft-identity_binary64_13718
26×distribute-rgt-in_binary64_13668 distribute-lft-in_binary64_13667 associate--l+_binary64_13655
add-exp-log_binary64_13756
pow1_binary64_13779
div-inv_binary64_13715 add-log-exp_binary64_13757 add-cbrt-cube_binary64_13754
associate-*r*_binary64_13658
associate-*l*_binary64_13659 cancel-sign-sub-inv_binary64_13684
log-pow_binary64_13807 rem-log-exp_binary64_13759
log-div_binary64_13805 div-exp_binary64_13769 pow-prod-down_binary64_13789 prod-exp_binary64_13767 cbrt-unprod_binary64_13751 unswap-sqr_binary64_13686 *-commutative_binary64_13649 diff-log_binary64_13810 flip3--_binary64_13722 sub-neg_binary64_13711 flip--_binary64_13693
Counts
3 → 109
Calls

3 calls:

7.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
6.0ms
(*.f64 x (log.f64 (/.f64 x y)))
3.0ms
(log.f64 (/.f64 x y))
Compiler

Compiled 1775 to 477 computations (73.1% saved)

series990.0ms (11.9%)

Error
0.1b
Counts
3 → 27
Calls

3 calls:

496.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
277.0ms
(*.f64 x (log.f64 (/.f64 x y)))
198.0ms
(log.f64 (/.f64 x y))
Compiler

Compiled 704 to 584 computations (17% saved)

simplify85.0ms (1%)

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049651964
149651964

prune101.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1306136
Fresh000
Picked011
Done000
Total1307137
Error
0.0b
Counts
137 → 7
Compiler

Compiled 1463 to 443 computations (69.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.7b
(cbrt.f64 x)
0.7b
(cbrt.f64 x)

rewrite63.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×cbrt-prod_binary64_13749
add-cube-cbrt_binary64_13753 add-sqr-sqrt_binary64_13740 *-un-lft-identity_binary64_13718
pow1/3_binary64_13800 pow1_binary64_13779 add-log-exp_binary64_13757 add-exp-log_binary64_13756 add-cbrt-cube_binary64_13754
Counts
4 → 44
Calls

4 calls:

1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 1020 to 357 computations (65% saved)

series552.0ms (6.6%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

158.0ms
(cbrt.f64 y)
135.0ms
(cbrt.f64 y)
122.0ms
(cbrt.f64 x)
121.0ms
(cbrt.f64 x)
Compiler

Compiled 700 to 523 computations (25.3% saved)

simplify142.0ms (1.7%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (124.0ms)

IterNodesCost
04832324
14832324

prune102.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh055
Picked011
Done011
Total56763
Error
0.0b
Counts
63 → 7
Compiler

Compiled 1099 to 450 computations (59.1% saved)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.7b
(cbrt.f64 x)
0.7b
(cbrt.f64 x)

rewrite103.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×cbrt-prod_binary64_13749
add-cube-cbrt_binary64_13753 add-sqr-sqrt_binary64_13740 *-un-lft-identity_binary64_13718
pow1/3_binary64_13800 pow1_binary64_13779 add-log-exp_binary64_13757 add-exp-log_binary64_13756 add-cbrt-cube_binary64_13754
Counts
4 → 44
Calls

4 calls:

2.0ms
(cbrt.f64 x)
2.0ms
(cbrt.f64 x)
2.0ms
(cbrt.f64 y)
2.0ms
(cbrt.f64 y)
Compiler

Compiled 1108 to 380 computations (65.7% saved)

series499.0ms (6%)

Error
0b
Counts
4 → 12
Calls

4 calls:

146.0ms
(cbrt.f64 x)
120.0ms
(cbrt.f64 y)
114.0ms
(cbrt.f64 y)
107.0ms
(cbrt.f64 x)
Compiler

Compiled 764 to 552 computations (27.7% saved)

simplify80.0ms (1%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04832324
14832324

prune63.0ms (0.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh044
Picked011
Done022
Total56763
Error
0.0b
Counts
63 → 7
Compiler

Compiled 1168 to 460 computations (60.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3)))
0.5b
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))
0.6b
(pow.f64 (log.f64 (/.f64 x y)) 3)
11.4b
(log.f64 (/.f64 x y))

rewrite118.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
32×cbrt-prod_binary64_13749
31×add-sqr-sqrt_binary64_13740
22×add-cube-cbrt_binary64_13753 *-un-lft-identity_binary64_13718
17×associate-*r*_binary64_13658
14×pow1_binary64_13779
13×log-prod_binary64_13804 unpow-prod-down_binary64_13797 cube-prod_binary64_13746
10×add-exp-log_binary64_13756
times-frac_binary64_13724
log-pow_binary64_13807
add-cbrt-cube_binary64_13754
unswap-sqr_binary64_13686
add-log-exp_binary64_13757 sqr-pow_binary64_13690
pow-unpow_binary64_13795 unpow3_binary64_13784 cube-mult_binary64_13748 associate-*l*_binary64_13659
rem-log-exp_binary64_13759
log-div_binary64_13805 div-inv_binary64_13715 div-exp_binary64_13769 pow-pow_binary64_13790 pow-to-exp_binary64_13787 pow-exp_binary64_13786 rem-cube-cbrt_binary64_13741 pow1/3_binary64_13800 rem-cbrt-cube_binary64_13742 pow-prod-down_binary64_13789 prod-exp_binary64_13767 cbrt-unprod_binary64_13751 *-commutative_binary64_13649
Counts
4 → 108
Calls

4 calls:

9.0ms
(*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3)))
3.0ms
(log.f64 (/.f64 x y))
3.0ms
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))
2.0ms
(pow.f64 (log.f64 (/.f64 x y)) 3)
Compiler

Compiled 1585 to 756 computations (52.3% saved)

series1.3s (15.7%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

473.0ms
(pow.f64 (log.f64 (/.f64 x y)) 3)
316.0ms
(log.f64 (/.f64 x y))
293.0ms
(*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3)))
211.0ms
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))
Compiler

Compiled 767 to 669 computations (12.8% saved)

simplify95.0ms (1.1%)

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049651522
149651522

prune76.0ms (0.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1311132
Fresh123
Picked011
Done123
Total1336139
Error
0.0b
Counts
139 → 6
Compiler

Compiled 1082 to 494 computations (54.3% saved)

regimes1.2s (14.5%)

Accuracy

Total 0.2b remaining (82.1%)

Threshold costs 0.2b (82.1%)

Compiler

Compiled 5810 to 4282 computations (26.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02631
12631

end3.0ms (0%)

Compiler

Compiled 19 to 12 computations (36.8% saved)

sample1.6s (19.4%)

Algorithm
intervals
Results
649.0ms8000×body128valid
45.0ms747×body128nan
3.0ms32×body128invalid
Compiler

Compiled 153 to 122 computations (20.3% saved)

Profiling

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