Details

Time bar (total: 3.4s)

analyze66.0ms

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
0%99.9%0.1%4
25%74.9%0.1%5
40.6%59.3%0.1%6
53.1%45.3%1.7%7
62.4%32.8%4.8%8
69.5%22.6%7.9%9
74.5%16.4%9.1%10
78.2%11.1%10.6%11
80.9%8.2%10.9%12
82.8%5.5%11.7%13
84.1%4.1%11.8%14

sample15.0ms

Algorithm
intervals
Results
9.0ms256×body128valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
025610
125610

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
diff-log_binary64
*-un-lft-identity_binary64 sub-neg_binary64 pow1_binary64 flip3--_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 flip--_binary64 associate--l+_binary64 sum-log_binary64
Counts
1 → 13
Calls
1 calls:
7.0ms
(-.f64 (+.f64 x y) (*.f64 x y))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(-.f64 (+.f64 x y) (*.f64 x y))

simplify55.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05675242

prune11.0ms

Filtered
11 candidates to 16 candidates (-45.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New14216
Fresh000
Picked011
Done000
Total14317

Merged error: 0.0b

Counts
17 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))
0.5b
(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
0.5b
(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
0.5b
(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
18×cbrt-div_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
flip3--_binary64 pow1/3_binary64 flip--_binary64
swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 frac-times_binary64
pow-prod-down_binary64 pow-prod-up_binary64 associate-*r/_binary64 pow-sqr_binary64 associate-*l/_binary64
cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 87
Calls
4 calls:
17.0ms
(*.f64 (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))
6.0ms
(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
8.0ms
(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
6.0ms
(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))

series665.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(*.f64 (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))
143.0ms
(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
155.0ms
(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
134.0ms
(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049942686
149942686

prune87.0ms

Filtered
80 candidates to 99 candidates (-23.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New98199
Fresh011
Picked101
Done011
Total993102

Merged error: 0b

Counts
102 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
0.5b
(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
0.5b
(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
1.0b
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) 5)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod_binary64
11×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
unpow-prod-down_binary64
cbrt-div_binary64
pow1_binary64 add-exp-log_binary64
add-log-exp_binary64 pow1/3_binary64 add-cbrt-cube_binary64
pow-unpow_binary64 flip3--_binary64 flip--_binary64
pow-pow_binary64
pow-to-exp_binary64 sqr-pow_binary64 pow-exp_binary64
Counts
4 → 63
Calls
4 calls:
6.0ms
(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
8.0ms
(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
5.0ms
(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
9.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) 5)

series918.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
142.0ms
(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
140.0ms
(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
506.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) 5)

simplify58.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049471963
149471963

prune90.0ms

Filtered
67 candidates to 75 candidates (-11.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh011
Picked011
Done011
Total75378

Merged error: 0b

Counts
78 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

4.8b
(+.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 x (*.f64 y (+.f64 (*.f64 x y) (+.f64 x y)))))
5.1b
(*.f64 x (*.f64 y (+.f64 (*.f64 x y) (+.f64 x y))))
8.4b
(-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3))
40.7b
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 x (*.f64 y (+.f64 (*.f64 x y) (+.f64 x y))))))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
76×associate-*r/_binary64
73×add-sqr-sqrt_binary64
43×flip3-+_binary64 flip-+_binary64
40×difference-of-squares_binary64
39×times-frac_binary64
33×*-un-lft-identity_binary64
32×frac-add_binary64
30×sqr-pow_binary64
23×add-cube-cbrt_binary64
18×associate-/r/_binary64
16×frac-times_binary64
13×associate-/l*_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
10×unpow-prod-down_binary64 cube-prod_binary64
pow1_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
add-log-exp_binary64 associate-*l/_binary64
difference-cubes_binary64 distribute-lft-out--_binary64
associate-+r+_binary64
pow-prod-down_binary64 associate-/r*_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64
associate-/l/_binary64 flip3--_binary64 associate-+l+_binary64 flip--_binary64
sub-neg_binary64 diff-log_binary64 associate-*r*_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 166
Calls
4 calls:
13.0ms
(+.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 x (*.f64 y (+.f64 (*.f64 x y) (+.f64 x y)))))
11.0ms
(*.f64 x (*.f64 y (+.f64 (*.f64 x y) (+.f64 x y))))
15.0ms
(-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3))
34.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 x (*.f64 y (+.f64 (*.f64 x y) (+.f64 x y))))))

series465.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(+.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 x (*.f64 y (+.f64 (*.f64 x y) (+.f64 x y)))))
49.0ms
(*.f64 x (*.f64 y (+.f64 (*.f64 x y) (+.f64 x y))))
117.0ms
(-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3))
227.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 x (*.f64 y (+.f64 (*.f64 x y) (+.f64 x y))))))

simplify119.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
0503310793

prune210.0ms

Filtered
132 candidates to 178 candidates (-34.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1780178
Fresh000
Picked011
Done022
Total1783181

Merged error: 0b

Counts
181 → 3

regimes32.0ms

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
03410
13410

end0.0ms

sample285.0ms

Algorithm
intervals
Results
159.0ms8000×body128valid
1.0ms76×body128invalid

Profiling

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