Details

Time bar (total: 3.0s)

analyze278.0ms

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

sample41.0ms

Algorithm
intervals
Results
17.0ms139×body160valid
8.0ms276×pre80true
6.0ms117×body80valid
1.0ms20×body80nan

simplify216.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (213.0ms)

IterNodesCost
0180116
1180116

prune6.0ms

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: 27.3b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(*.f64 (*.f64 3 a) c)
0.4b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
27.1b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite32.0ms

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:
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
6.0ms
(*.f64 (*.f64 3 a) c)
11.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

series61.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
4.0ms
(*.f64 (*.f64 3 a) c)
29.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
18.0ms
(-.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 (43.0ms)

IterNodesCost
049391196
149391196

prune98.0ms

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

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New691685
Fresh000
Picked101
Done000
Total701686

Merged error: 9.0b

Counts
86 → 16

localize3.0ms

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

prune35.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01515
Picked011
Done000
Total01616

Merged error: 9.0b

Counts
16 → 16

localize7.0ms

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))
0.4b
(/.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))

series19.0ms

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

prune103.0ms

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

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New691887
Fresh01414
Picked101
Done101
Total7132103

Merged error: 8.9b

Counts
103 → 32

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(/.f64 (*.f64 a c) b)
0.3b
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) -1/2) a)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log_binary64 add-cbrt-cube_binary64
cbrt-undiv_binary64 div-exp_binary64
*-un-lft-identity_binary64 associate-/r*_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64
cbrt-unprod_binary64 prod-exp_binary64
add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64
associate-/l/_binary64 associate-*l/_binary64
Counts
2 → 47
Calls
2 calls:
5.0ms
(/.f64 (*.f64 a c) b)
8.0ms
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) -1/2) a)

series11.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/.f64 (*.f64 a c) b)
5.0ms
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) -1/2) a)

simplify58.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05006354

prune23.0ms

Filtered
31 candidates to 53 candidates (-71.0%)
Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New48553
Fresh52631
Picked101
Done000
Total543185

Merged error: 8.9b

Counts
85 → 31

regimes667.0ms

Accuracy

41.7% (8.2b remaining)

Error of 17.2b against oracle of 9.0b and baseline of 23.1b

bsearch11.0ms

Steps
ItersRangePoint
2
31.493150225068483
35.33585555505723
34.79216116694219

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08647
18647

end0.0ms

sample1.1s

Algorithm
intervals
Results
452.0ms4437×body160valid
256.0ms8941×pre80true
185.0ms3563×body80valid
47.0ms941×body80nan

Profiling

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