Details

Time bar (total: 2.8s)

analyze267.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14

sample43.0ms

Algorithm
intervals
Results
15.0ms160×body160valid
8.0ms280×pre80true
6.0ms44×body320valid
3.0ms52×body80valid
1.0ms24×body80nan

simplify248.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (245.0ms)

IterNodesCost
0193116
1193116

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 43.8b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))
0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))
0.2b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))) b) (*.f64 a 2.0))
38.4b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))) b)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
8×add-log-exp_binary64
7×add-cube-cbrt_binary64
6×difference-of-squares_binary64 associate-/l*_binary64 times-frac_binary64 sqrt-prod_binary64
5×pow1_binary64
4×flip3--_binary64 flip--_binary64
3×distribute-lft-out--_binary64
2×associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-exp_binary64 sqrt-div_binary64
1×associate-/r*_binary64 pow1/2_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 div-sub_binary64 rem-sqrt-square_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 70
Calls
4 calls:
5.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))
12.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))) b) (*.f64 a 2.0))
11.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))) b)

series63.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))
8.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))
23.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))) b) (*.f64 a 2.0))
15.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))) b)

simplify49.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
051211298

prune147.0ms

Filtered
64 candidates to 82 candidates (-28.1%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New691382
Fresh000
Picked101
Done000
Total701383

Merged error: 5.1b

Counts
83 → 13

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify5.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune38.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01212
Picked011
Done000
Total01313

Merged error: 5.1b

Counts
13 → 13

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/.f64 (neg.f64 (*.f64 2.0 (/.f64 (*.f64 a c) b))) (*.f64 a 2.0))
0.3b
(/.f64 (*.f64 a c) b)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log_binary64 add-cbrt-cube_binary64
9×times-frac_binary64
7×associate-/l*_binary64
6×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×associate-/r*_binary64 cbrt-undiv_binary64 div-exp_binary64
2×add-log-exp_binary64 pow1_binary64 cbrt-unprod_binary64 neg-mul-1_binary64 distribute-lft-neg-in_binary64 distribute-rgt-neg-in_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64
1×associate-/l/_binary64 neg-sub0_binary64 associate-*r/_binary64 distribute-neg-frac_binary64 div-sub_binary64 distribute-frac-neg_binary64
Counts
2 → 51
Calls
2 calls:
5.0ms
(/.f64 (neg.f64 (*.f64 2.0 (/.f64 (*.f64 a c) b))) (*.f64 a 2.0))
5.0ms
(/.f64 (*.f64 a c) b)

series14.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/.f64 (neg.f64 (*.f64 2.0 (/.f64 (*.f64 a c) b))) (*.f64 a 2.0))
8.0ms
(/.f64 (*.f64 a c) b)

simplify39.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05014429

prune123.0ms

Filtered
42 candidates to 57 candidates (-35.7%)
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New461157
Fresh01111
Picked101
Done011
Total472370

Merged error: 5.1b

Counts
70 → 23

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b
(/.f64 (neg.f64 (*.f64 2.0 (*.f64 a c))) (*.f64 b (*.f64 a 2.0)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log_binary64 add-cbrt-cube_binary64
6×associate-/l*_binary64 times-frac_binary64
3×*-un-lft-identity_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 add-cube-cbrt_binary64 prod-exp_binary64 add-sqr-sqrt_binary64 div-exp_binary64
2×neg-mul-1_binary64 distribute-lft-neg-in_binary64 distribute-rgt-neg-in_binary64
1×associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 neg-sub0_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 distribute-frac-neg_binary64
Counts
1 → 31
Calls
1 calls:
7.0ms
(/.f64 (neg.f64 (*.f64 2.0 (*.f64 a c))) (*.f64 b (*.f64 a 2.0)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(/.f64 (neg.f64 (*.f64 2.0 (*.f64 a c))) (*.f64 b (*.f64 a 2.0)))

simplify37.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05168242

prune29.0ms

Filtered
25 candidates to 34 candidates (-36.0%)
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New30434
Fresh31821
Picked101
Done011
Total342357

Merged error: 5.1b

Counts
57 → 23

regimes362.0ms

Accuracy

10.7% (6.0b remaining)

Error of 11.1b against oracle of 5.1b and baseline of 11.8b

bsearch2.0ms

Steps
ItersRangePoint
0
0.05157698258216537
0.05325266511284204
0.052414823847503705

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010740
110740

end0.0ms

sample1.2s

Algorithm
intervals
Results
463.0ms4913×body160valid
260.0ms8936×pre80true
187.0ms1329×body320valid
91.0ms1758×body80valid
43.0ms936×body80nan

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