Details

Time bar (total: 1.7s)

analyze67.0ms

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
12.5%87.4%0.1%4
31.2%68.7%0.1%5
43.7%56.2%0.1%6
56.2%40.6%3.2%7
64%29.7%6.3%8
71%20.3%8.7%9
75.3%15.2%9.5%10
79%10.1%10.8%11
81.3%7.7%11%12
83.2%5%11.8%13
84.4%3.8%11.8%14

sample10.0ms

Algorithm
intervals
Results
5.0ms256×body128valid
0.0msbody128invalid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (14.0ms)

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 (+.f64 x 1) y) x)
0.0b
(*.f64 (+.f64 x 1) y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
associate-*r*_binary64
associate-*l/_binary64
pow-prod-down_binary64 flip3-+_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 unswap-sqr_binary64 prod-exp_binary64 flip--_binary64 flip-+_binary64 *-commutative_binary64
Counts
2 → 32
Calls
2 calls:
6.0ms
(-.f64 (*.f64 (+.f64 x 1) y) x)
7.0ms
(*.f64 (+.f64 x 1) y)

series66.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(-.f64 (*.f64 (+.f64 x 1) y) x)
37.0ms
(*.f64 (+.f64 x 1) y)

simplify87.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
04933440
14933440

prune27.0ms

Filtered
25 candidates to 38 candidates (-52.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New36238
Fresh000
Picked011
Done000
Total36339

Merged error: 0b

Counts
39 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (+.f64 x 1))
0.0b
(sqrt.f64 (+.f64 x 1))
0.1b
(*.f64 y (sqrt.f64 (+.f64 x 1)))
0.1b
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 y (sqrt.f64 (+.f64 x 1))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity_binary64
18×sqrt-div_binary64
17×add-sqr-sqrt_binary64 sqrt-prod_binary64
13×pow1_binary64
11×add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
10×associate-*r/_binary64 associate-*l*_binary64
flip3-+_binary64 flip-+_binary64
associate-*r*_binary64
pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 prod-exp_binary64 frac-times_binary64
pow1/2_binary64 sqrt-pow1_binary64 unswap-sqr_binary64 rem-sqrt-square_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 87
Calls
4 calls:
3.0ms
(sqrt.f64 (+.f64 x 1))
3.0ms
(sqrt.f64 (+.f64 x 1))
8.0ms
(*.f64 y (sqrt.f64 (+.f64 x 1)))
14.0ms
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 y (sqrt.f64 (+.f64 x 1))))

series176.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(sqrt.f64 (+.f64 x 1))
27.0ms
(sqrt.f64 (+.f64 x 1))
81.0ms
(*.f64 y (sqrt.f64 (+.f64 x 1)))
42.0ms
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 y (sqrt.f64 (+.f64 x 1))))

simplify51.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
053201347

prune71.0ms

Filtered
71 candidates to 99 candidates (-39.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh011
Picked011
Done011
Total993102

Merged error: 0b

Counts
102 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (/.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 1 1) (*.f64 x 1)))) x)
0.0b
(+.f64 (*.f64 x x) (-.f64 (*.f64 1 1) (*.f64 x 1)))
4.0b
(*.f64 y (+.f64 1 (pow.f64 x 3)))
17.2b
(/.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 1 1) (*.f64 x 1))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
11×add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64
pow1_binary64
flip3-+_binary64 associate-*r*_binary64 associate-*r/_binary64 flip-+_binary64
associate-/r*_binary64 associate-*l*_binary64 times-frac_binary64
associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-/r/_binary64 prod-exp_binary64 div-exp_binary64 sum-log_binary64
pow-prod-down_binary64 associate-+r-_binary64 flip3--_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 associate-/l*_binary64 distribute-lft-out--_binary64 div-inv_binary64 +-commutative_binary64 flip--_binary64 associate-+r+_binary64 *-commutative_binary64
Counts
4 → 75
Calls
4 calls:
19.0ms
(-.f64 (/.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 1 1) (*.f64 x 1)))) x)
8.0ms
(+.f64 (*.f64 x x) (-.f64 (*.f64 1 1) (*.f64 x 1)))
9.0ms
(*.f64 y (+.f64 1 (pow.f64 x 3)))
18.0ms
(/.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 1 1) (*.f64 x 1))))

series482.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(-.f64 (/.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 1 1) (*.f64 x 1)))) x)
19.0ms
(+.f64 (*.f64 x x) (-.f64 (*.f64 1 1) (*.f64 x 1)))
104.0ms
(*.f64 y (+.f64 1 (pow.f64 x 3)))
223.0ms
(/.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 1 1) (*.f64 x 1))))

simplify44.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
051901709

prune82.0ms

Filtered
63 candidates to 87 candidates (-38.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New87087
Fresh000
Picked011
Done022
Total87390

Merged error: 0b

Counts
90 → 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
01910
11910

end0.0ms

sample292.0ms

Algorithm
intervals
Results
164.0ms7995×body128valid
5.0ms74×body128invalid
0.0msbody1024valid
0.0msbody512valid

Profiling

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