Details

Time bar (total: 3.3s)

analyze230.0ms (6.9%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03832
13832
022
122
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%46.8%28.2%7
31.2%35.9%32.9%8
39%25%36%9
42.9%18.7%38.3%10
47.2%12.9%39.9%11
49.4%9.6%41.1%12
51.6%6.5%41.9%13
52.7%4.8%42.4%14
Symmetry

(sort x y)

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample24.0ms (0.7%)

Algorithm
intervals
Results
8.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03816
13816

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 22 to 16 computations (27.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite49.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-sqr-sqrt_binary64_17491
add-log-exp_binary64_17508 pow1_binary64_17530 add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505 add-cube-cbrt_binary64_17504 *-un-lft-identity_binary64_17469
associate-*l*_binary64_17410 associate-*r*_binary64_17409
flip3-+_binary64_17472 flip-+_binary64_17443 distribute-rgt-in_binary64_17419 associate-+l+_binary64_17402 distribute-lft-in_binary64_17418 associate-*r/_binary64_17411
sum-log_binary64_17560 +-commutative_binary64_17399 pow-prod-down_binary64_17540 prod-exp_binary64_17518 cbrt-unprod_binary64_17502 unswap-sqr_binary64_17437 *-commutative_binary64_17400
Counts
2 → 35
Calls

2 calls:

6.0ms
(+.f64 (*.f64 x (+.f64 x (*.f64 2 y))) (*.f64 y y))
6.0ms
(*.f64 x (+.f64 x (*.f64 2 y)))
Compiler

Compiled 694 to 368 computations (47% saved)

series262.0ms (7.8%)

Error
0.0b
Counts
2 → 30
Calls

2 calls:

153.0ms
(+.f64 (*.f64 x (+.f64 x (*.f64 2 y))) (*.f64 y y))
91.0ms
(*.f64 x (+.f64 x (*.f64 2 y)))
Compiler

Compiled 708 to 511 computations (27.8% saved)

simplify58.0ms (1.7%)

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05056841

prune44.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New64165
Fresh000
Picked011
Done000
Total64266
Error
0.0b
Counts
66 → 2
Compiler

Compiled 867 to 437 computations (49.6% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite45.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-sqr-sqrt_binary64_17491
add-log-exp_binary64_17508 pow1_binary64_17530 add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505 add-cube-cbrt_binary64_17504 *-un-lft-identity_binary64_17469
associate-*l*_binary64_17410 associate-*r*_binary64_17409
flip3-+_binary64_17472 flip-+_binary64_17443 distribute-rgt-in_binary64_17419 associate-+l+_binary64_17402 distribute-lft-in_binary64_17418 associate-*r/_binary64_17411
sum-log_binary64_17560 +-commutative_binary64_17399 pow-prod-down_binary64_17540 prod-exp_binary64_17518 cbrt-unprod_binary64_17502 unswap-sqr_binary64_17437 *-commutative_binary64_17400
Counts
2 → 35
Calls

2 calls:

7.0ms
(+.f64 (*.f64 y (+.f64 y (*.f64 2 x))) (*.f64 x x))
5.0ms
(*.f64 y (+.f64 y (*.f64 2 x)))
Compiler

Compiled 694 to 368 computations (47% saved)

series258.0ms (7.7%)

Error
0.0b
Counts
2 → 30
Calls

2 calls:

158.0ms
(+.f64 (*.f64 y (+.f64 y (*.f64 2 x))) (*.f64 x x))
84.0ms
(*.f64 y (+.f64 y (*.f64 2 x)))
Compiler

Compiled 708 to 511 computations (27.8% saved)

simplify77.0ms (2.3%)

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04954841
14954841

prune45.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New64165
Fresh000
Picked101
Done011
Total65267
Error
0.0b
Counts
67 → 2
Compiler

Compiled 877 to 443 computations (49.5% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (/.f64 (-.f64 (pow.f64 y 3) (*.f64 4 (*.f64 (*.f64 x x) y))) (-.f64 y (*.f64 2 x))) (*.f64 x x))
0.7b
(*.f64 (*.f64 x x) y)
0.8b
(-.f64 (pow.f64 y 3) (*.f64 4 (*.f64 (*.f64 x x) y)))
8.9b
(/.f64 (-.f64 (pow.f64 y 3) (*.f64 4 (*.f64 (*.f64 x x) y))) (-.f64 y (*.f64 2 x)))

rewrite163.0ms (4.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
14×add-sqr-sqrt_binary64_17491
13×add-cube-cbrt_binary64_17504 *-un-lft-identity_binary64_17469
11×add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505
pow1_binary64_17530 times-frac_binary64_17475
add-log-exp_binary64_17508
flip3--_binary64_17473 flip--_binary64_17444 associate-/l*_binary64_17414 associate-/r*_binary64_17413 pow-prod-down_binary64_17540 prod-exp_binary64_17518 cbrt-unprod_binary64_17502 associate-*r*_binary64_17409
div-sub_binary64_17474 associate-/l/_binary64_17416 associate-/r/_binary64_17415
div-exp_binary64_17520 cbrt-undiv_binary64_17503 frac-2neg_binary64_17480 clear-num_binary64_17468 div-inv_binary64_17466 diff-log_binary64_17561 sub-neg_binary64_17462 cancel-sign-sub-inv_binary64_17435 unswap-sqr_binary64_17437 associate-*l*_binary64_17410 *-commutative_binary64_17400 sum-log_binary64_17560 flip3-+_binary64_17472 flip-+_binary64_17443 associate-+l-_binary64_17404 +-commutative_binary64_17399
Counts
4 → 75
Calls

4 calls:

17.0ms
(+.f64 (/.f64 (-.f64 (pow.f64 y 3) (*.f64 4 (*.f64 (*.f64 x x) y))) (-.f64 y (*.f64 2 x))) (*.f64 x x))
14.0ms
(/.f64 (-.f64 (pow.f64 y 3) (*.f64 4 (*.f64 (*.f64 x x) y))) (-.f64 y (*.f64 2 x)))
13.0ms
(-.f64 (pow.f64 y 3) (*.f64 4 (*.f64 (*.f64 x x) y)))
6.0ms
(*.f64 (*.f64 x x) y)
Compiler

Compiled 2589 to 1353 computations (47.7% saved)

series840.0ms (25.1%)

Error
0.0b
Counts
4 → 48
Calls

4 calls:

392.0ms
(+.f64 (/.f64 (-.f64 (pow.f64 y 3) (*.f64 4 (*.f64 (*.f64 x x) y))) (-.f64 y (*.f64 2 x))) (*.f64 x x))
206.0ms
(/.f64 (-.f64 (pow.f64 y 3) (*.f64 4 (*.f64 (*.f64 x x) y))) (-.f64 y (*.f64 2 x)))
152.0ms
(-.f64 (pow.f64 y 3) (*.f64 4 (*.f64 (*.f64 x x) y)))
58.0ms
(*.f64 (*.f64 x x) y)
Compiler

Compiled 1644 to 1171 computations (28.8% saved)

simplify72.0ms (2.1%)

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049632585
149632585

prune123.0ms (3.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh000
Picked011
Done011
Total1232125
Error
0.0b
Counts
125 → 2
Compiler

Compiled 2925 to 1501 computations (48.7% saved)

regimes73.0ms (2.2%)

Accuracy

Total 0.0b remaining (70.8%)

Threshold costs 0.0b (70.8%)

Compiler

Compiled 513 to 386 computations (24.8% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01316
11316
Compiler

Compiled 22 to 16 computations (27.3% saved)

end0.0ms (0%)

sample935.0ms (28%)

Algorithm
intervals
Results
290.0ms8000×body128valid
7.0ms225×body128invalid
Compiler

Compiled 199 to 149 computations (25.1% saved)

Profiling

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