Details

Time bar (total: 2.2s)

analyze101.0ms (4.5%)

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
25%74.9%0.1%4
37.5%62.4%0.1%5
62.4%37.5%0.1%6
71.8%28.1%0.1%7
76.5%21.9%1.7%8
80.4%16.4%3.2%9
82.3%11.7%6%10
84.1%8.8%7.1%11
85%6%9%12
85.8%4.5%9.7%13
86.2%3.1%10.7%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample20.0ms (0.9%)

Algorithm
intervals
Results
9.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify215.0ms (9.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
03467
13467

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (-.f64 x y) x)

rewrite17.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity_binary64_17469 add-sqr-sqrt_binary64_17491
15×times-frac_binary64_17475
11×add-cube-cbrt_binary64_17504
associate-/l*_binary64_17414
difference-of-squares_binary64_17438 distribute-lft-out--_binary64_17421
associate-/r*_binary64_17413 add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505
associate-/l/_binary64_17416
div-sub_binary64_17474 frac-2neg_binary64_17480 clear-num_binary64_17468 div-exp_binary64_17520 cbrt-undiv_binary64_17503 add-log-exp_binary64_17508 pow1_binary64_17530 div-inv_binary64_17466 flip3--_binary64_17473 flip--_binary64_17444
Counts
1 → 38
Calls

1 calls:

12.0ms
(/.f64 (-.f64 x y) x)

series41.0ms (1.8%)

Counts
1 → 3
Calls

1 calls:

41.0ms
(/.f64 (-.f64 x y) x)

simplify140.0ms (6.2%)

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (118.0ms)

IterNodesCost
04943543
14943543

prune51.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New39241
Fresh000
Picked011
Done000
Total39342

Merged error: 0b

Counts
42 → 3
Compiler

Compiled 465 to 128 computations (72.5% saved)

localize10.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 1 (/.f64 y x))

rewrite17.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_17491
13×cancel-sign-sub-inv_binary64_17435
12×*-un-lft-identity_binary64_17469
11×times-frac_binary64_17475
add-cube-cbrt_binary64_17504
difference-of-squares_binary64_17438
add-log-exp_binary64_17508
sub-neg_binary64_17462 add-exp-log_binary64_17507 diff-log_binary64_17561 distribute-lft-out--_binary64_17421 pow1_binary64_17530 div-inv_binary64_17466 flip3--_binary64_17473 add-cbrt-cube_binary64_17505 flip--_binary64_17444
Counts
1 → 29
Calls

1 calls:

13.0ms
(-.f64 1 (/.f64 y x))

series20.0ms (0.9%)

Counts
1 → 3
Calls

1 calls:

20.0ms
(-.f64 1 (/.f64 y x))

simplify94.0ms (4.2%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
05434321

prune32.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New32032
Fresh011
Picked011
Done011
Total32335

Merged error: 0b

Counts
35 → 3
Compiler

Compiled 279 to 133 computations (52.3% saved)

localize12.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 x y) x)
0.1b
(pow.f64 (/.f64 (-.f64 x y) x) 3)
14.2b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) x) 3))

rewrite64.0ms (2.9%)

Algorithm
rewrite-expression-head
Rules
83×*-un-lft-identity_binary64_17469 add-sqr-sqrt_binary64_17491
75×times-frac_binary64_17475
51×add-cube-cbrt_binary64_17504
44×cbrt-prod_binary64_17500
38×unpow-prod-down_binary64_17548 cube-prod_binary64_17497
16×difference-of-squares_binary64_17438 distribute-lft-out--_binary64_17421
add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505
associate-/l*_binary64_17414 div-inv_binary64_17466
pow1_binary64_17530
associate-/r*_binary64_17413 add-log-exp_binary64_17508 pow-unpow_binary64_17546
sqr-pow_binary64_17441 associate-/l/_binary64_17416 pow-exp_binary64_17537 cube-div_binary64_17498 div-exp_binary64_17520 cbrt-undiv_binary64_17503 rem-cube-cbrt_binary64_17492 unpow3_binary64_17535 cube-mult_binary64_17499
cbrt-div_binary64_17501 pow1/3_binary64_17551 div-sub_binary64_17474 frac-2neg_binary64_17480 clear-num_binary64_17468 pow-to-exp_binary64_17538 pow-pow_binary64_17541 rem-cbrt-cube_binary64_17493 flip3--_binary64_17473 flip--_binary64_17444
Counts
3 → 150
Calls

3 calls:

14.0ms
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) x) 3))
12.0ms
(pow.f64 (/.f64 (-.f64 x y) x) 3)
11.0ms
(/.f64 (-.f64 x y) x)

series148.0ms (6.6%)

Counts
3 → 9
Calls

3 calls:

67.0ms
(pow.f64 (/.f64 (-.f64 x y) x) 3)
44.0ms
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) x) 3))
37.0ms
(/.f64 (-.f64 x y) x)

simplify101.0ms (4.5%)

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
054642482

prune196.0ms (8.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1590159
Fresh000
Picked011
Done022
Total1593162

Merged error: 0b

Counts
162 → 3
Compiler

Compiled 2143 to 757 computations (64.7% saved)

regimes106.0ms (4.7%)

Compiler

Compiled 403 to 231 computations (42.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0237
1237

end0.0ms (0%)

sample845.0ms (37.6%)

Algorithm
intervals
Results
292.0ms8000×body128valid
6.0ms176×body128invalid
Compiler

Compiled 129 to 78 computations (39.5% saved)

Profiling

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