Details

Time bar (total: 1.5s)

analyze50.0ms

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
56.2%43.7%0.1%6
65.6%34.3%0.1%7
76.5%23.4%0.1%8
82%18%0.1%9
87.8%12.1%0.1%10
90.7%9.2%0.1%11
93.8%6.1%0.1%12
95.3%4.6%0.1%13
96.8%3.1%0.1%14

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0125
1125

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-log-exp_binary64
distribute-lft-out_binary64 sum-log_binary64
flip3-+_binary64 pow1_binary64 add-cube-cbrt_binary64 associate-+l+_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64
Counts
1 → 15
Calls
1 calls:
6.0ms
(+.f64 (+.f64 x y) x)

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(+.f64 (+.f64 x y) x)

simplify65.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
05128116

prune15.0ms

Filtered
11 candidates to 18 candidates (-63.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219

Merged error: 0.0b

Counts
19 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow.f64 (+.f64 x y) 3)
0.3b
(+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3))
1.6b
(+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))
39.8b
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
139×*-un-lft-identity_binary64
67×distribute-lft-out_binary64
44×unpow-prod-down_binary64 cube-prod_binary64
39×times-frac_binary64
25×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
13×associate-/l*_binary64
add-log-exp_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
flip3-+_binary64 pow1_binary64 sum-cubes_binary64 flip-+_binary64
pow-unpow_binary64 associate-/r*_binary64
associate-/l/_binary64 associate-/r/_binary64 cube-div_binary64 +-commutative_binary64 associate-+r+_binary64 sum-log_binary64
pow-to-exp_binary64 cbrt-undiv_binary64 pow-pow_binary64 sqr-pow_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 clear-num_binary64 rem-cube-cbrt_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 pow-exp_binary64 unpow3_binary64 cube-mult_binary64
Counts
4 → 132
Calls
4 calls:
5.0ms
(pow.f64 (+.f64 x y) 3)
14.0ms
(+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3))
5.0ms
(+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))
24.0ms
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))

series58.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(pow.f64 (+.f64 x y) 3)
16.0ms
(+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3))
6.0ms
(+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))
26.0ms
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))

simplify57.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050102691

prune94.0ms

Filtered
73 candidates to 144 candidates (-97.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1431144
Fresh000
Picked101
Done011
Total1442146

Merged error: 0.0b

Counts
146 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

9.1b
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
28.6b
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
28.6b
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
28.9b
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
1520×*-un-lft-identity_binary64
1128×times-frac_binary64
637×distribute-lft-out_binary64
576×sqrt-prod_binary64
444×add-sqr-sqrt_binary64
442×add-cube-cbrt_binary64
392×unpow-prod-down_binary64 cube-prod_binary64
97×associate-/l*_binary64
49×sum-cubes_binary64
22×sqrt-div_binary64
18×associate-/r/_binary64
12×flip3-+_binary64 associate-/r*_binary64 flip-+_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
div-inv_binary64
pow1_binary64
add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64
associate-/l/_binary64
pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 754
Calls
4 calls:
28.0ms
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
42.0ms
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))

series73.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
10.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
10.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
26.0ms
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))

simplify230.0ms

Algorithm
egg-herbie
Counts
766 → 766
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
0496130666
1496130666

prune246.0ms

Filtered
175 candidates to 766 candidates (-337.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New7660766
Fresh000
Picked011
Done011
Total7662768

Merged error: 0.0b

Counts
768 → 2

regimes104.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
065
165

end0.0ms

sample257.0ms

Algorithm
intervals
Results
131.0ms8000×body80valid
0.0msbody80invalid

Profiling

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