Details

Time bar (total: 3.3s)

analyze275.0ms

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

sample45.0ms

Algorithm
intervals
Results
14.0ms152×body160valid
9.0ms49×body320valid
8.0ms278×pre80true
3.0ms55×body80valid
1.0ms22×body80nan

simplify222.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (219.0ms)

IterNodesCost
0180116
1180116

prune8.0ms

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: 44.6b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.2b
(*.f64 (*.f64 3 a) c)
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
38.9b
(-.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
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))
7.0ms
(*.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)

series56.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
4.0ms
(*.f64 (*.f64 3 a) c)
27.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
16.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

simplify54.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049391196
149391196

prune159.0ms

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

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New681785
Fresh000
Picked101
Done000
Total691786

Merged error: 4.5b

Counts
86 → 17

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

prune51.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01616
Picked011
Done000
Total01717

Merged error: 4.5b

Counts
17 → 17

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))

rewrite25.0ms

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:
6.0ms
(/.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))

series16.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/.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))

simplify63.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04928595
14928595

prune146.0ms

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

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New741387
Fresh01515
Picked101
Done101
Total7628104

Merged error: 4.4b

Counts
104 → 28

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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:
10.0ms
(/.f64 (*.f64 (*.f64 -3/2 a) (/.f64 c b)) (*.f64 3 a))
7.0ms
(*.f64 (*.f64 -3/2 a) (/.f64 c b))

series11.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/.f64 (*.f64 (*.f64 -3/2 a) (/.f64 c b)) (*.f64 3 a))
6.0ms
(*.f64 (*.f64 -3/2 a) (/.f64 c b))

simplify66.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04935529
14935529

prune46.0ms

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

33 alts after pruning (32 fresh and 1 done)

PrunedKeptTotal
New67673
Fresh12627
Picked011
Done000
Total6833101

Merged error: 4.4b

Counts
101 → 33

regimes717.0ms

Accuracy

11.5% (6.1b remaining)

Error of 11.0b against oracle of 4.9b and baseline of 11.8b

bsearch12.0ms

Steps
ItersRangePoint
2
0.007782192899179474
0.009091349953828378
0.008923916934394698

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08445
18445

end0.0ms

sample1.3s

Algorithm
intervals
Results
478.0ms4844×body160valid
256.0ms8918×pre80true
198.0ms1393×body320valid
89.0ms1763×body80valid
43.0ms918×body80nan

Profiling

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