Details

Time bar (total: 2.8s)

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

sample41.0ms

Algorithm
intervals
Results
14.0ms142×body160valid
11.0ms287×pre80true
6.0ms114×body80valid
1.0ms31×body80nan

simplify215.0ms

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: 28.6b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(-.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))
28.5b
(-.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
9×pow1_binary64
8×add-log-exp_binary64
7×add-cube-cbrt_binary64
6×difference-of-squares_binary64 associate-/l*_binary64 times-frac_binary64
4×cbrt-unprod_binary64 prod-exp_binary64
3×pow-prod-down_binary64 flip3--_binary64 associate-*r*_binary64 distribute-lft-out--_binary64 flip--_binary64 sqrt-prod_binary64
2×associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-exp_binary64
1×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))
5.0ms
(*.f64 (*.f64 3 a) c)
12.0ms
(/.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:
9.0ms
(-.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))
19.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

simplify52.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049391196
149391196

prune98.0ms

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

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New701585
Fresh000
Picked101
Done000
Total711586

Merged error: 8.2b

Counts
86 → 15

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 (2.0ms)

IterNodesCost
000

prune34.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01414
Picked011
Done000
Total01515

Merged error: 8.2b

Counts
15 → 15

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(/.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
8×*-un-lft-identity_binary64 add-cube-cbrt_binary64
7×associate-*r*_binary64 times-frac_binary64
5×pow1_binary64
4×associate-/r*_binary64
3×add-log-exp_binary64 associate-*l*_binary64 div-inv_binary64
2×associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64
1×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:
7.0ms
(/.f64 (*.f64 a c) b)
6.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
5.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify62.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04928595
14928595

prune93.0ms

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

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New721587
Fresh01313
Picked101
Done101
Total7428102

Merged error: 8.1b

Counts
102 → 28

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log_binary64
10×add-cbrt-cube_binary64
9×div-exp_binary64
6×prod-exp_binary64
4×pow1_binary64 cbrt-undiv_binary64
3×*-un-lft-identity_binary64 1-exp_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 rec-exp_binary64 associate-/l*_binary64 times-frac_binary64
2×cbrt-unprod_binary64 pow-flip_binary64
1×pow-prod-down_binary64 associate-/r*_binary64 add-log-exp_binary64 associate-/r/_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 div-inv_binary64 associate-*l/_binary64
Counts
1 → 33
Calls
1 calls:
7.0ms
(/.f64 1 (*.f64 (/.f64 b c) -2))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(/.f64 1 (*.f64 (/.f64 b c) -2))

simplify73.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04853203
14853203

prune12.0ms

Filtered
18 candidates to 36 candidates (-100.0%)
Pruning

30 alts after pruning (30 fresh and 0 done)

PrunedKeptTotal
New31536
Fresh22527
Picked101
Done000
Total343064

Merged error: 8.1b

Counts
64 → 30

regimes562.0ms

Accuracy

49% (7.1b remaining)

Error of 16.1b against oracle of 9.0b and baseline of 23.0b

bsearch2.0ms

Steps
ItersRangePoint
0
512.050271033825
522.9322124538494
517.4912417438371

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08139
18139

end0.0ms

sample1.1s

Algorithm
intervals
Results
445.0ms4454×body160valid
254.0ms8962×pre80true
190.0ms3546×body80valid
48.0ms962×body80nan

Profiling

Loading profile data...