Details

Time bar (total: 3.2s)

analyze276.0ms

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

sample53.0ms

Algorithm
intervals
Results
17.0ms112×body320valid
10.0ms99×body160valid
8.0ms286×pre80true
4.0ms18×body640valid
2.0ms30×body80nan
1.0ms27×body80valid

simplify218.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (214.0ms)

IterNodesCost
0180116
1180116

prune7.0ms

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: 53.0b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.2b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
0.3b
(*.f64 (*.f64 3 a) c)
28.3b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64
14×add-exp-log_binary64 add-cbrt-cube_binary64
13×*-un-lft-identity_binary64
pow1_binary64
add-log-exp_binary64
add-cube-cbrt_binary64
difference-of-squares_binary64 associate-/l*_binary64 times-frac_binary64
cbrt-unprod_binary64 prod-exp_binary64
pow-prod-down_binary64 flip3--_binary64 associate-*r*_binary64 distribute-lft-out--_binary64 flip--_binary64 sqrt-prod_binary64
associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-exp_binary64
associate-/r*_binary64 associate-*l*_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 73
Calls
4 calls:
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
12.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
6.0ms
(*.f64 (*.f64 3 a) c)
9.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

series62.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
32.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
4.0ms
(*.f64 (*.f64 3 a) c)
17.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

simplify53.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049391196
149391196

prune135.0ms

Filtered
59 candidates to 85 candidates (-44.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New741185
Fresh000
Picked101
Done000
Total751186

Merged error: 2.6b

Counts
86 → 11

localize5.0ms

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

prune31.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01010
Picked011
Done000
Total01111

Merged error: 2.6b

Counts
11 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b
(/.f64 (*.f64 a c) b)
0.3b
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
0.3b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log_binary64 add-cbrt-cube_binary64
17×cbrt-unprod_binary64 prod-exp_binary64
16×cbrt-undiv_binary64 div-exp_binary64
10×add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
associate-*r*_binary64 times-frac_binary64
pow1_binary64
associate-/r*_binary64
add-log-exp_binary64 associate-*l*_binary64 div-inv_binary64
associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64
pow-prod-down_binary64 associate-/l/_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
3 → 78
Calls
3 calls:
5.0ms
(/.f64 (*.f64 a c) b)
7.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
9.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

series20.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/.f64 (*.f64 a c) b)
6.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
8.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify61.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04928595
14928595

prune117.0ms

Filtered
47 candidates to 87 candidates (-85.1%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New761187
Fresh099
Picked101
Done011
Total772198

Merged error: 2.5b

Counts
98 → 21

localize6.0ms

Local error

Found 2 expressions with local error:

0.6b
(cbrt.f64 (*.f64 -1/8 (pow.f64 (/.f64 c b) 3)))
0.8b
(pow.f64 (/.f64 c b) 3)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
18×times-frac_binary64
17×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
13×unpow-prod-down_binary64 cube-prod_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow-unpow_binary64 pow1_binary64
add-log-exp_binary64 cube-div_binary64 rem-cube-cbrt_binary64 div-inv_binary64 pow-exp_binary64
cbrt-div_binary64 pow-to-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 pow1/3_binary64 pow-pow_binary64 sqr-pow_binary64 div-exp_binary64 cbrt-prod_binary64 unpow3_binary64 cube-mult_binary64
Counts
2 → 56
Calls
2 calls:
6.0ms
(cbrt.f64 (*.f64 -1/8 (pow.f64 (/.f64 c b) 3)))
5.0ms
(pow.f64 (/.f64 c b) 3)

series16.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(cbrt.f64 (*.f64 -1/8 (pow.f64 (/.f64 c b) 3)))
6.0ms
(pow.f64 (/.f64 c b) 3)

simplify42.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05462474

prune41.0ms

Filtered
33 candidates to 62 candidates (-87.9%)
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New59362
Fresh41519
Picked011
Done011
Total632083

Merged error: 2.5b

Counts
83 → 20

regimes419.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
065
165

end0.0ms

sample1.6s

Algorithm
intervals
Results
570.0ms3640×body320valid
317.0ms2918×body160valid
258.0ms8802×pre80true
112.0ms535×body640valid
49.0ms907×body80valid
42.0ms802×body80nan

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