Details

Time bar (total: 1.8s)

analyze72.0ms (3.9%)

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)

sample13.0ms (0.7%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify168.0ms (9.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02413
12413

prune3.0ms (0.2%)

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 29 to 22 computations (24.1% 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))

rewrite16.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_12546 add-sqr-sqrt_binary64_12567
add-cbrt-cube_binary64_12579 associate-*r*_binary64_12488 pow1_binary64_12604 add-cube-cbrt_binary64_12578 add-exp-log_binary64_12581 add-log-exp_binary64_12582
associate-*l*_binary64_12489
flip-+_binary64_12520 distribute-rgt-in_binary64_12498 associate-+l+_binary64_12481 distribute-lft-in_binary64_12497 flip3-+_binary64_12549 associate-*r/_binary64_12490
prod-exp_binary64_12592 distribute-lft-out_binary64_12499 unswap-sqr_binary64_12514 pow-prod-down_binary64_12614 +-commutative_binary64_12478 sum-log_binary64_12634 *-commutative_binary64_12479 cbrt-unprod_binary64_12576
Counts
2 → 36
Calls

2 calls:

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

series97.0ms (5.3%)

Counts
2 → 6
Calls

2 calls:

58.0ms
(*.f64 x (+.f64 x 2))
39.0ms
(+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))

simplify93.0ms (5.1%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
04937509
14937509

prune30.0ms (1.7%)

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 604 to 319 computations (47.2% saved)

localize16.0ms (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)))))

rewrite61.0ms (3.3%)

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity_binary64_12546
15×add-cube-cbrt_binary64_12578 add-sqr-sqrt_binary64_12567
14×add-cbrt-cube_binary64_12579 add-exp-log_binary64_12581
12×times-frac_binary64_12552 pow1_binary64_12604
10×distribute-rgt-in_binary64_12498 distribute-lft-in_binary64_12497 associate-*r/_binary64_12490
associate--l+_binary64_12485
flip-+_binary64_12520 flip3-+_binary64_12549
associate-+r+_binary64_12480 add-log-exp_binary64_12582
prod-exp_binary64_12592 distribute-lft-out_binary64_12499 associate-/l*_binary64_12493 sub-neg_binary64_12539 pow-prod-down_binary64_12614 frac-times_binary64_12556 cbrt-unprod_binary64_12576
flip--_binary64_12521 associate-*r*_binary64_12488 flip3--_binary64_12550 associate-/r*_binary64_12492 pow-unpow_binary64_12620
associate-/l/_binary64_12495 rem-cube-cbrt_binary64_12568 associate-/r/_binary64_12494 associate-*l/_binary64_12491 pow-pow_binary64_12615 pow-exp_binary64_12611 cube-div_binary64_12572
cube-prod_binary64_12571 cbrt-undiv_binary64_12577 cube-mult_binary64_12573 unpow3_binary64_12609 +-commutative_binary64_12478 sum-log_binary64_12634 div-inv_binary64_12543 div-exp_binary64_12594 *-commutative_binary64_12479 unpow-prod-down_binary64_12622 clear-num_binary64_12545 associate-*l*_binary64_12489 pow-to-exp_binary64_12612 frac-2neg_binary64_12557 sqr-pow_binary64_12518
Counts
4 → 108
Calls

4 calls:

18.0ms
(/.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)))))
14.0ms
(*.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)

series397.0ms (21.7%)

Counts
4 → 12
Calls

4 calls:

180.0ms
(/.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)))))
110.0ms
(+.f64 (pow.f64 y 4) (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))))
82.0ms
(*.f64 (*.f64 x (+.f64 x 2)) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)))
25.0ms
(pow.f64 (*.f64 x (+.f64 x 2)) 3)

simplify84.0ms (4.6%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049524258
149524258

prune277.0ms (15.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh000
Picked011
Done011
Total1202122

Merged error: 0.0b

Counts
122 → 2
Compiler

Compiled 5039 to 3324 computations (34% saved)

regimes28.0ms (1.5%)

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%)

sample463.0ms (25.3%)

Algorithm
intervals
Results
235.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 72 to 56 computations (22.2% saved)

Profiling

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