Details

Time bar (total: 2.9s)

analyze271.0ms

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

sample38.0ms

Algorithm
intervals
Results
13.0ms137×body160valid
8.0ms277×pre80true
6.0ms119×body80valid
1.0ms21×body80nan

simplify250.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (248.0ms)

IterNodesCost
0193116
1193116

prune9.0ms

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: 27.5b

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)))
0.2b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))) b) (*.f64 a 2.0))
0.3b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))
27.3b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))) b)

rewrite31.0ms

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:
4.0ms
(sqrt.f64 (-.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))
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))) b)

series62.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))
24.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))) b) (*.f64 a 2.0))
8.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))
14.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))) b)

simplify41.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
051211298

prune148.0ms

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

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New661682
Fresh000
Picked101
Done000
Total671683

Merged error: 9.1b

Counts
83 → 16

localize4.0ms

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 (3.0ms)

IterNodesCost
000

prune48.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01515
Picked011
Done000
Total01616

Merged error: 9.1b

Counts
16 → 16

localize8.0ms

Local error

Found 2 expressions with local error:

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

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 (*.f64 a c) b)
6.0ms
(/.f64 (neg.f64 (*.f64 2.0 (/.f64 (*.f64 a c) b))) (*.f64 a 2.0))

series11.0ms

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

simplify38.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05014429

prune131.0ms

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

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New451257
Fresh01414
Picked101
Done011
Total462773

Merged error: 9.0b

Counts
73 → 27

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b
(/.f64 -1 (/.f64 b c))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac_binary64
43×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
13×associate-/r*_binary64
6×add-exp-log_binary64 add-cbrt-cube_binary64
5×div-inv_binary64
3×cbrt-undiv_binary64 associate-/l*_binary64 div-exp_binary64
1×add-log-exp_binary64 pow1_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64
Counts
1 → 70
Calls
1 calls:
6.0ms
(/.f64 -1 (/.f64 b c))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(/.f64 -1 (/.f64 b c))

simplify61.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04889736
14889736

prune70.0ms

Filtered
61 candidates to 73 candidates (-19.7%)
Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New65873
Fresh32225
Picked101
Done011
Total6931100

Merged error: 9.0b

Counts
100 → 31

regimes566.0ms

Accuracy

45.8% (7.6b remaining)

Error of 16.6b against oracle of 9.0b and baseline of 23.0b

bsearch3.0ms

Steps
ItersRangePoint
0
387.5367379430292
395.61572319468746
391.5762305688583

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010740
110740

end0.0ms

sample1.1s

Algorithm
intervals
Results
431.0ms4452×body160valid
257.0ms8857×pre80true
175.0ms3548×body80valid
42.0ms857×body80nan

Profiling

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