Details

Time bar (total: 1.2s)

analyze3.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25%13
74.9%0%25%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample9.0ms (0.7%)

Algorithm
intervals
Results
4.0ms256×body128valid
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify176.0ms (14.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
0967
1967

prune2.0ms (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)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 x (-.f64 x 1))

rewrite11.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64_5605
*-un-lft-identity_binary64_5583
associate-*r*_binary64_5523
cancel-sign-sub-inv_binary64_5549
add-cube-cbrt_binary64_5618
distribute-lft-in_binary64_5532 distribute-rgt-in_binary64_5533
pow1_binary64_5644 add-exp-log_binary64_5621 add-cbrt-cube_binary64_5619 associate-*l*_binary64_5524
associate-*r/_binary64_5525 difference-of-squares_binary64_5552 sub-neg_binary64_5576
distribute-lft-out--_binary64_5535 flip--_binary64_5558 flip3--_binary64_5587 unswap-sqr_binary64_5551 prod-exp_binary64_5632 difference-of-sqr-1_binary64_5553 cbrt-unprod_binary64_5616 pow-prod-down_binary64_5654 *-commutative_binary64_5514 add-log-exp_binary64_5622
Counts
1 → 32
Calls

1 calls:

9.0ms
(*.f64 x (-.f64 x 1))

series59.0ms (4.9%)

Counts
1 → 3
Calls

1 calls:

59.0ms
(*.f64 x (-.f64 x 1))

simplify61.0ms (5%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04891288
14891288

prune32.0ms (2.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New33235
Fresh000
Picked011
Done000
Total33336

Merged error: 0b

Counts
36 → 3
Compiler

Compiled 416 to 259 computations (37.7% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (neg.f64 x))

rewrite7.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_5622
sum-log_binary64_5674 *-un-lft-identity_binary64_5583 distribute-rgt-out_binary64_5536
distribute-lft-neg-in_binary64_5540 flip-+_binary64_5557 pow1_binary64_5644 +-commutative_binary64_5513 add-cube-cbrt_binary64_5618 neg-mul-1_binary64_5579 add-exp-log_binary64_5621 neg-log_binary64_5676 associate-+r-_binary64_5517 flip3-+_binary64_5586 add-sqr-sqrt_binary64_5605 add-cbrt-cube_binary64_5619 unsub-neg_binary64_5577 neg-sub0_binary64_5578
Counts
1 → 16
Calls

1 calls:

6.0ms
(+.f64 (*.f64 x x) (neg.f64 x))

series58.0ms (4.8%)

Counts
1 → 3
Calls

1 calls:

58.0ms
(+.f64 (*.f64 x x) (neg.f64 x))

simplify102.0ms (8.5%)

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
04877169
14877169

prune14.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New19019
Fresh011
Picked011
Done011
Total19322

Merged error: 0b

Counts
22 → 3
Compiler

Compiled 208 to 93 computations (55.3% saved)

localize10.0ms (0.8%)

Local error

Found 1 expressions with local error:

9.3b
(/.f64 (-.f64 (pow.f64 x 4) x) (+.f64 (*.f64 x x) (+.f64 (*.f64 1 1) (*.f64 x 1))))

rewrite23.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt_binary64_5605
21×*-un-lft-identity_binary64_5583 times-frac_binary64_5589
13×add-cube-cbrt_binary64_5618
12×difference-of-squares_binary64_5552
associate-/l*_binary64_5528
distribute-lft-out--_binary64_5535 sqr-pow_binary64_5555 unpow-prod-down_binary64_5662
associate-/r*_binary64_5527 add-exp-log_binary64_5621 add-cbrt-cube_binary64_5619
associate-/r/_binary64_5529 associate-/l/_binary64_5530
div-inv_binary64_5580 flip-+_binary64_5557 clear-num_binary64_5582 flip--_binary64_5558 pow1_binary64_5644 flip3--_binary64_5587 div-exp_binary64_5634 frac-2neg_binary64_5594 cbrt-undiv_binary64_5617 div-sub_binary64_5588 flip3-+_binary64_5586 add-log-exp_binary64_5622
Counts
1 → 48
Calls

1 calls:

17.0ms
(/.f64 (-.f64 (pow.f64 x 4) x) (+.f64 (*.f64 x x) (+.f64 (*.f64 1 1) (*.f64 x 1))))

series163.0ms (13.5%)

Counts
1 → 3
Calls

1 calls:

163.0ms
(/.f64 (-.f64 (pow.f64 x 4) x) (+.f64 (*.f64 x x) (+.f64 (*.f64 1 1) (*.f64 x 1))))

simplify72.0ms (5.9%)

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
063381552

prune57.0ms (4.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New51051
Fresh000
Picked011
Done022
Total51354

Merged error: 0b

Counts
54 → 3
Compiler

Compiled 1263 to 712 computations (43.6% saved)

regimes21.0ms (1.7%)

Compiler

Compiled 68 to 52 computations (23.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0167
1167

end0.0ms (0%)

sample320.0ms (26.5%)

Algorithm
intervals
Results
143.0ms8000×body128valid
Compiler

Compiled 44 to 34 computations (22.7% saved)

Profiling

Loading profile data...