Details

Time bar (total: 3.1s)

analyze259.0ms

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

sample42.0ms

Algorithm
intervals
Results
13.0ms122×body256valid
8.0ms284×pre128true
6.0ms47×body512valid
4.0ms87×body128valid
1.0ms28×body128nan

simplify262.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (256.0ms)

IterNodesCost
0180224
1180224

prune4.0ms

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: 53.1b

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)
27.7b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite38.0ms

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))
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)
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

series431.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
209.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
29.0ms
(*.f64 (*.f64 3 a) c)
133.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

simplify71.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049351807
149351807

prune120.0ms

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

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New721385
Fresh000
Picked101
Done000
Total731386

Merged error: 2.4b

Counts
86 → 13

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify6.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune15.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01212
Picked011
Done000
Total01313

Merged error: 2.4b

Counts
13 → 13

localize7.0ms

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))
0.4b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite30.0ms

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))

series112.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/.f64 (*.f64 a c) b)
43.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
36.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify52.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04942874
14942874

prune67.0ms

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

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New80787
Fresh01111
Picked101
Done011
Total8119100

Merged error: 2.4b

Counts
100 → 19

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(/.f64 (*.f64 (*.f64 -3/2 a) (/.f64 c b)) (*.f64 3 a))
0.5b
(*.f64 (*.f64 -3/2 a) (/.f64 c b))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log_binary64 add-cbrt-cube_binary64
23×cbrt-unprod_binary64 prod-exp_binary64
16×cbrt-undiv_binary64 div-exp_binary64
13×associate-*r*_binary64
10×times-frac_binary64
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
7×pow1_binary64
3×pow-prod-down_binary64
2×add-log-exp_binary64 associate-*r/_binary64 div-inv_binary64
1×associate-/l/_binary64 associate-/r*_binary64 associate-*l*_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 *-commutative_binary64
Counts
2 → 67
Calls
2 calls:
11.0ms
(/.f64 (*.f64 (*.f64 -3/2 a) (/.f64 c b)) (*.f64 3 a))
8.0ms
(*.f64 (*.f64 -3/2 a) (/.f64 c b))

series84.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/.f64 (*.f64 (*.f64 -3/2 a) (/.f64 c b)) (*.f64 3 a))
46.0ms
(*.f64 (*.f64 -3/2 a) (/.f64 c b))

simplify77.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04933781
14933781

prune31.0ms

Filtered
36 candidates to 73 candidates (-102.8%)
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New70373
Fresh11617
Picked101
Done011
Total722092

Merged error: 2.4b

Counts
92 → 20

regimes164.0ms

Accuracy

0% (3.7b remaining)

Error of 6.3b against oracle of 2.6b and baseline of 6.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
177

end0.0ms

sample1.2s

Algorithm
intervals
Results
350.0ms3781×body256valid
247.0ms8876×pre128true
208.0ms1504×body512valid
131.0ms2715×body128valid
37.0ms876×body128nan

Profiling

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