Details

Time bar (total: 1.8s)

analyze359.0ms

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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
40.6%56.9%2.5%9
46%49.5%4.4%10
50.3%44.9%4.8%11
60.3%30.5%9.2%12
62.9%25.7%11.4%13
65.2%23.2%11.7%14

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms34×body80invalid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
0484913
1484913

prune3.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
0.0b
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64 add-cbrt-cube_binary64
*-un-lft-identity_binary64
add-log-exp_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
associate-/r*_binary64 times-frac_binary64
associate-/l/_binary64 pow1_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-exp_binary64
flip3-+_binary64 flip3--_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 sum-log_binary64
Counts
2 → 35
Calls
2 calls:
6.0ms
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
9.0ms
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)

series58.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))
34.0ms
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)

simplify79.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05309845

prune37.0ms

Filtered
31 candidates to 41 candidates (-32.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New39241
Fresh101
Picked101
Done000
Total41243

Merged error: 0b

Counts
43 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (/.f64 x y) (/.f64 z y))
0.0b
(*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt_binary64
24×*-un-lft-identity_binary64
20×times-frac_binary64
12×associate-*r*_binary64
add-cube-cbrt_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
add-log-exp_binary64 pow1_binary64 associate-*r/_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 div-inv_binary64
sub-neg_binary64 associate-*l*_binary64
flip3--_binary64 distribute-rgt-out--_binary64 sub-div_binary64 flip--_binary64 frac-sub_binary64
pow-prod-down_binary64 diff-log_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
2 → 55
Calls
2 calls:
13.0ms
(-.f64 (/.f64 x y) (/.f64 z y))
19.0ms
(*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y)))

series52.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(-.f64 (/.f64 x y) (/.f64 z y))
32.0ms
(*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
04932877
14932877

prune38.0ms

Filtered
47 candidates to 61 candidates (-29.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New61061
Fresh011
Picked011
Done000
Total61263

Merged error: 0b

Counts
63 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 1 (/.f64 4 (/.f64 y (-.f64 (+.f64 x (*.f64 y 1/4)) z))))
0.0b
(/.f64 y (-.f64 (+.f64 x (*.f64 y 1/4)) z))
0.2b
(/.f64 4 (/.f64 y (-.f64 (+.f64 x (*.f64 y 1/4)) z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac_binary64
105×*-un-lft-identity_binary64
103×add-sqr-sqrt_binary64
71×add-cube-cbrt_binary64
26×associate-/r*_binary64
16×difference-of-squares_binary64 distribute-lft-out--_binary64
11×associate-/r/_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64 div-inv_binary64
add-log-exp_binary64 flip3--_binary64 flip--_binary64
cbrt-undiv_binary64 div-exp_binary64
pow1_binary64
clear-num_binary64 frac-2neg_binary64
flip3-+_binary64 distribute-lft-out_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
3 → 151
Calls
3 calls:
23.0ms
(+.f64 1 (/.f64 4 (/.f64 y (-.f64 (+.f64 x (*.f64 y 1/4)) z))))
7.0ms
(/.f64 y (-.f64 (+.f64 x (*.f64 y 1/4)) z))
10.0ms
(/.f64 4 (/.f64 y (-.f64 (+.f64 x (*.f64 y 1/4)) z)))

series114.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(+.f64 1 (/.f64 4 (/.f64 y (-.f64 (+.f64 x (*.f64 y 1/4)) z))))
61.0ms
(/.f64 y (-.f64 (+.f64 x (*.f64 y 1/4)) z))
32.0ms
(/.f64 4 (/.f64 y (-.f64 (+.f64 x (*.f64 y 1/4)) z)))

simplify98.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
054724374

prune153.0ms

Filtered
120 candidates to 160 candidates (-33.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1600160
Fresh000
Picked011
Done011
Total1602162

Merged error: 0b

Counts
162 → 2

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03016
13016

end0.0ms

sample536.0ms

Algorithm
intervals
Results
301.0ms8000×body80valid
38.0ms960×body80invalid

Profiling

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