Details

Time bar (total: 1.9s)

analyze70.0ms (3.7%)

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
25%74.9%0.1%5
25%62.4%12.6%6
25%40.6%34.4%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14
Compiler

Compiled 12 to 9 computations (25% saved)

sample14.0ms (0.7%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify171.0ms (9.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
02413
12413

prune5.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 49 to 37 computations (24.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))
0.0b
(*.f64 x (+.f64 x 2))

rewrite18.0ms (1%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_14549 *-un-lft-identity_binary64_14527
pow1_binary64_14588 associate-*r*_binary64_14467 add-exp-log_binary64_14565 add-cbrt-cube_binary64_14563 add-cube-cbrt_binary64_14562 add-log-exp_binary64_14566
associate-*l*_binary64_14468
flip-+_binary64_14501 distribute-rgt-in_binary64_14477 distribute-lft-in_binary64_14476 flip3-+_binary64_14530 associate-+l+_binary64_14460 associate-*r/_binary64_14469
prod-exp_binary64_14576 +-commutative_binary64_14457 cbrt-unprod_binary64_14560 sum-log_binary64_14618 unswap-sqr_binary64_14495 *-commutative_binary64_14458 distribute-lft-out_binary64_14478 pow-prod-down_binary64_14598
Counts
2 → 36
Calls

2 calls:

8.0ms
(+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))
7.0ms
(*.f64 x (+.f64 x 2))

series101.0ms (5.4%)

Counts
2 → 6
Calls

2 calls:

62.0ms
(*.f64 x (+.f64 x 2))
39.0ms
(+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))

simplify69.0ms (3.7%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05451509

prune42.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New41142
Fresh101
Picked011
Done000
Total42244

Merged error: 0.0b

Counts
44 → 2
Compiler

Compiled 720 to 405 computations (43.8% saved)

localize17.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.1b
(pow.f64 (*.f64 x (+.f64 x 2)) 3)
0.2b
(*.f64 (*.f64 x (+.f64 x 2)) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)))
1.0b
(+.f64 (pow.f64 y 4) (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))))
38.2b
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)))))

rewrite64.0ms (3.4%)

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity_binary64_14527
15×add-sqr-sqrt_binary64_14549 add-cube-cbrt_binary64_14562
14×add-exp-log_binary64_14565 add-cbrt-cube_binary64_14563
12×distribute-rgt-in_binary64_14477 pow1_binary64_14588 distribute-lft-in_binary64_14476 times-frac_binary64_14533
10×associate-*r/_binary64_14469
associate-+r+_binary64_14459 associate--l+_binary64_14464
flip-+_binary64_14501 flip3-+_binary64_14530
add-log-exp_binary64_14566
frac-times_binary64_14537 prod-exp_binary64_14576 sub-neg_binary64_14520 cbrt-unprod_binary64_14560 cancel-sign-sub-inv_binary64_14493 associate-/l*_binary64_14472 distribute-lft-out_binary64_14478 pow-prod-down_binary64_14598
flip3--_binary64_14531 flip--_binary64_14502 pow-unpow_binary64_14604 associate-*r*_binary64_14467 associate-/r*_binary64_14471
associate-/l/_binary64_14474 rem-cube-cbrt_binary64_14550 associate-/r/_binary64_14473 pow-pow_binary64_14599 associate-*l/_binary64_14470 cube-div_binary64_14556 pow-exp_binary64_14595
div-inv_binary64_14524 pow-to-exp_binary64_14596 +-commutative_binary64_14457 cbrt-undiv_binary64_14561 cube-prod_binary64_14555 sqr-pow_binary64_14499 frac-2neg_binary64_14538 sum-log_binary64_14618 div-exp_binary64_14578 unpow3_binary64_14593 clear-num_binary64_14526 *-commutative_binary64_14458 unpow-prod-down_binary64_14606 cube-mult_binary64_14557 associate-*l*_binary64_14468
Counts
4 → 112
Calls

4 calls:

16.0ms
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)))))
15.0ms
(*.f64 (*.f64 x (+.f64 x 2)) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)))
7.0ms
(+.f64 (pow.f64 y 4) (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))))
6.0ms
(pow.f64 (*.f64 x (+.f64 x 2)) 3)

series427.0ms (22.9%)

Counts
4 → 12
Calls

4 calls:

183.0ms
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)))))
126.0ms
(+.f64 (pow.f64 y 4) (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))))
91.0ms
(*.f64 (*.f64 x (+.f64 x 2)) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)))
26.0ms
(pow.f64 (*.f64 x (+.f64 x 2)) 3)

simplify108.0ms (5.8%)

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049724355
149724355

prune256.0ms (13.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1240124
Fresh000
Picked011
Done011
Total1242126

Merged error: 0.0b

Counts
126 → 2
Compiler

Compiled 5185 to 3418 computations (34.1% saved)

regimes25.0ms (1.3%)

Compiler

Compiled 130 to 104 computations (20% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01113
11113

end0.0ms (0%)

sample469.0ms (25.2%)

Algorithm
intervals
Results
236.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 72 to 56 computations (22.2% saved)

Profiling

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