Details

Time bar (total: 4.9s)

analyze471.0ms (9.5%)

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
0%99.9%0.1%5
21.8%78%0.1%6
26.5%73.3%0.1%7
32%67.9%0.1%8
46.4%52.7%0.9%9
50.9%47.2%1.9%10
54.3%43.3%2.4%11
62.1%32.5%5.4%12
64.3%28.1%7.6%13
66.3%24.6%9.2%14
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample22.0ms (0.4%)

Algorithm
intervals
Results
9.0ms256×body128valid
1.0ms37×body128invalid
Compiler

Compiled 25 to 24 computations (4% saved)

simplify142.0ms (2.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
073815
173815

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 2
Compiler

Compiled 32 to 28 computations (12.5% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (+.f64 x 4) y)
0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
2.6b
(*.f64 (/.f64 x y) z)

rewrite111.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
28×*-un-lft-identity_binary64_419
25×add-sqr-sqrt_binary64_441
22×times-frac_binary64_425
20×add-cube-cbrt_binary64_454
13×associate-*l*_binary64_360
10×add-exp-log_binary64_457 add-cbrt-cube_binary64_455
pow1_binary64_480 add-log-exp_binary64_458
distribute-lft-out_binary64_370 associate-/l*_binary64_364
associate-*l/_binary64_362 associate-*r*_binary64_359 associate-/r*_binary64_363
div-exp_binary64_470 prod-exp_binary64_468 cbrt-unprod_binary64_452 cbrt-undiv_binary64_453 unswap-sqr_binary64_387 div-inv_binary64_416 associate-/l/_binary64_366
pow-prod-down_binary64_490 *-commutative_binary64_350 diff-log_binary64_511 frac-sub_binary64_428 sub-div_binary64_426 flip3--_binary64_423 sub-neg_binary64_412 flip--_binary64_394 cancel-sign-sub-inv_binary64_385 frac-2neg_binary64_430 clear-num_binary64_418 flip3-+_binary64_422 flip-+_binary64_393
Counts
3 → 79
Calls

3 calls:

11.0ms
(*.f64 (/.f64 x y) z)
10.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
6.0ms
(/.f64 (+.f64 x 4) y)
Compiler

Compiled 1545 to 746 computations (51.7% saved)

series390.0ms (7.9%)

Error
0.0b
Counts
3 → 33
Calls

3 calls:

218.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
92.0ms
(*.f64 (/.f64 x y) z)
58.0ms
(/.f64 (+.f64 x 4) y)
Compiler

Compiled 1124 to 782 computations (30.4% saved)

simplify68.0ms (1.4%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
051711334

prune100.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1084112
Fresh011
Picked011
Done000
Total1086114
Error
0.0b
Counts
114 → 6
Compiler

Compiled 1859 to 899 computations (51.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (+.f64 x 4) y)
0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
6.8b
(*.f64 x (/.f64 z y))

rewrite93.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
28×*-un-lft-identity_binary64_419
25×add-sqr-sqrt_binary64_441
22×times-frac_binary64_425
20×add-cube-cbrt_binary64_454
13×associate-*r*_binary64_359
10×add-exp-log_binary64_457 add-cbrt-cube_binary64_455
pow1_binary64_480 add-log-exp_binary64_458
distribute-lft-out_binary64_370 associate-/l*_binary64_364
associate-*r/_binary64_361 associate-*l*_binary64_360 associate-/r*_binary64_363
div-exp_binary64_470 prod-exp_binary64_468 cbrt-unprod_binary64_452 cbrt-undiv_binary64_453 unswap-sqr_binary64_387 div-inv_binary64_416 associate-/l/_binary64_366
pow-prod-down_binary64_490 *-commutative_binary64_350 diff-log_binary64_511 frac-sub_binary64_428 sub-div_binary64_426 flip3--_binary64_423 sub-neg_binary64_412 flip--_binary64_394 cancel-sign-sub-inv_binary64_385 frac-2neg_binary64_430 clear-num_binary64_418 flip3-+_binary64_422 flip-+_binary64_393
Counts
3 → 79
Calls

3 calls:

10.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
7.0ms
(*.f64 x (/.f64 z y))
6.0ms
(/.f64 (+.f64 x 4) y)
Compiler

Compiled 1545 to 746 computations (51.7% saved)

series400.0ms (8.1%)

Error
0.0b
Counts
3 → 33
Calls

3 calls:

222.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
100.0ms
(*.f64 x (/.f64 z y))
57.0ms
(/.f64 (+.f64 x 4) y)
Compiler

Compiled 1124 to 790 computations (29.7% saved)

simplify68.0ms (1.4%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
055471346

prune88.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1111112
Fresh044
Picked011
Done011
Total1117118
Error
0b
Counts
118 → 7
Compiler

Compiled 1856 to 887 computations (52.2% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
5.6b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) y))

rewrite99.0ms (2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
25×add-exp-log_binary64_457
22×associate-*r*_binary64_359
20×add-cube-cbrt_binary64_454 add-sqr-sqrt_binary64_441 *-un-lft-identity_binary64_419
18×add-cbrt-cube_binary64_455 times-frac_binary64_425 cbrt-prod_binary64_450
13×pow1_binary64_480
12×prod-exp_binary64_468 cbrt-unprod_binary64_452
pow-prod-down_binary64_490
add-log-exp_binary64_458
div-exp_binary64_470 cbrt-undiv_binary64_453 pow1/3_binary64_501
associate-*r/_binary64_361 associate-*l*_binary64_360 div-inv_binary64_416 *-commutative_binary64_350
Counts
4 → 80
Calls

4 calls:

15.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) y))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
Compiler

Compiled 2081 to 707 computations (66% saved)

series356.0ms (7.2%)

Error
0b
Counts
4 → 18
Calls

4 calls:

123.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) y))
74.0ms
(cbrt.f64 z)
73.0ms
(cbrt.f64 z)
71.0ms
(cbrt.f64 z)
Compiler

Compiled 930 to 659 computations (29.1% saved)

simplify87.0ms (1.8%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
04928918
14928918

prune85.0ms (1.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New98098
Fresh044
Picked011
Done022
Total987105
Error
0b
Counts
105 → 7
Compiler

Compiled 2039 to 895 computations (56.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (+.f64 x 4) (*.f64 x z))
3.4b
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite55.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
10×add-cube-cbrt_binary64_454 add-sqr-sqrt_binary64_441 *-un-lft-identity_binary64_419
times-frac_binary64_425
add-log-exp_binary64_458
add-exp-log_binary64_457 add-cbrt-cube_binary64_455
associate-/l*_binary64_364 associate-/r*_binary64_363
pow1_binary64_480 flip3--_binary64_423 associate-/l/_binary64_366 flip--_binary64_394 diff-log_binary64_511
div-exp_binary64_470 cbrt-undiv_binary64_453 frac-2neg_binary64_430 div-sub_binary64_424 clear-num_binary64_418 div-inv_binary64_416 sum-log_binary64_510 sub-neg_binary64_412 cancel-sign-sub-inv_binary64_385 associate--l+_binary64_356
Counts
2 → 44
Calls

2 calls:

8.0ms
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
6.0ms
(-.f64 (+.f64 x 4) (*.f64 x z))
Compiler

Compiled 863 to 467 computations (45.9% saved)

series228.0ms (4.6%)

Error
0b
Counts
2 → 27
Calls

2 calls:

155.0ms
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
58.0ms
(-.f64 (+.f64 x 4) (*.f64 x z))
Compiler

Compiled 740 to 563 computations (23.9% saved)

simplify66.0ms (1.3%)

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049601108
149601108

prune54.0ms (1.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New71071
Fresh033
Picked011
Done033
Total71778
Error
0b
Counts
78 → 7
Compiler

Compiled 1022 to 478 computations (53.2% saved)

regimes442.0ms (8.9%)

Accuracy

Total 0.6b remaining (99.8%)

Threshold costs 0.6b (99.8%)

Compiler

Compiled 4700 to 3537 computations (24.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07842
17842

end0.0ms (0%)

sample1.5s (29.8%)

Algorithm
intervals
Results
308.0ms8000×body128valid
41.0ms1123×body128invalid
Compiler

Compiled 954 to 716 computations (24.9% saved)

Profiling

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