Details

Time bar (total: 8.1s)

analyze2.1s

Algorithm
search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14

sample90.0ms

Algorithm
intervals
Results
31.0ms340×body80invalid
20.0ms256×body80valid

simplify385.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (382.0ms)

IterNodesCost
0495529
1495529

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 11.5b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(-.f64 (*.f64 y z) (*.f64 t a))
5.0b
(*.f64 x (-.f64 (*.f64 y z) (*.f64 t a)))
5.0b
(*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))
5.6b
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
9×associate-*r*_binary64 associate-*l*_binary64
7×sub-neg_binary64
6×add-log-exp_binary64 associate-*r/_binary64
4×flip3--_binary64 flip--_binary64
3×pow-prod-down_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
1×diff-log_binary64
Counts
4 → 77
Calls
4 calls:
4.0ms
(-.f64 (*.f64 y z) (*.f64 t a))
8.0ms
(*.f64 x (-.f64 (*.f64 y z) (*.f64 t a)))
7.0ms
(*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))
7.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

series75.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(-.f64 (*.f64 y z) (*.f64 t a))
20.0ms
(*.f64 x (-.f64 (*.f64 y z) (*.f64 t a)))
21.0ms
(*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))
23.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

simplify51.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04926937
14926937

prune173.0ms

Filtered
65 candidates to 89 candidates (-36.9%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New682189
Fresh000
Picked101
Done000
Total692190

Merged error: 9.3b

Counts
90 → 21

localize26.0ms

Local error

Found 4 expressions with local error:

2.4b
(*.f64 (-.f64 (*.f64 z y) (*.f64 a t)) (cbrt.f64 x))
2.9b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (*.f64 z y) (*.f64 a t)) (cbrt.f64 x)))
5.0b
(*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))
5.6b
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1_binary64 add-exp-log_binary64
19×add-sqr-sqrt_binary64
15×add-cbrt-cube_binary64
13×associate-*r*_binary64
11×pow-prod-down_binary64 *-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 prod-exp_binary64
10×associate-*l*_binary64
6×associate-*r/_binary64
4×add-log-exp_binary64 sub-neg_binary64 flip3--_binary64 unswap-sqr_binary64 flip--_binary64 cbrt-prod_binary64 associate-*l/_binary64 *-commutative_binary64
2×distribute-lft-in_binary64 distribute-rgt-in_binary64
Counts
4 → 92
Calls
4 calls:
8.0ms
(*.f64 (-.f64 (*.f64 z y) (*.f64 a t)) (cbrt.f64 x))
13.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (*.f64 z y) (*.f64 a t)) (cbrt.f64 x)))
7.0ms
(*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))
7.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

series112.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(*.f64 (-.f64 (*.f64 z y) (*.f64 a t)) (cbrt.f64 x))
26.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (*.f64 z y) (*.f64 a t)) (cbrt.f64 x)))
24.0ms
(*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))
20.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

simplify46.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049971125
149971125

prune164.0ms

Filtered
69 candidates to 104 candidates (-50.7%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New1004104
Fresh02020
Picked101
Done000
Total10124125

Merged error: 9.3b

Counts
125 → 24

localize32.0ms

Local error

Found 4 expressions with local error:

5.6b
(cbrt.f64 (-.f64 (*.f64 y z) (*.f64 t a)))
5.6b
(cbrt.f64 (-.f64 (*.f64 z y) (*.f64 a t)))
5.6b
(cbrt.f64 (-.f64 (*.f64 z y) (*.f64 a t)))
5.6b
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64 cbrt-prod_binary64
6×cbrt-div_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×add-log-exp_binary64 flip3--_binary64 flip--_binary64
3×associate-*r*_binary64 pow1/3_binary64 associate-*l*_binary64
2×sub-neg_binary64 associate-*r/_binary64
1×pow-prod-down_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
4 → 61
Calls
4 calls:
4.0ms
(cbrt.f64 (-.f64 (*.f64 y z) (*.f64 t a)))
4.0ms
(cbrt.f64 (-.f64 (*.f64 z y) (*.f64 a t)))
4.0ms
(cbrt.f64 (-.f64 (*.f64 z y) (*.f64 a t)))
7.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

series137.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(cbrt.f64 (-.f64 (*.f64 y z) (*.f64 t a)))
41.0ms
(cbrt.f64 (-.f64 (*.f64 z y) (*.f64 a t)))
38.0ms
(cbrt.f64 (-.f64 (*.f64 z y) (*.f64 a t)))
20.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

simplify44.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05013897

prune157.0ms

Filtered
63 candidates to 73 candidates (-15.9%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New72173
Fresh12223
Picked101
Done000
Total742397

Merged error: 9.3b

Counts
97 → 23

localize25.0ms

Local error

Found 4 expressions with local error:

5.0b
(*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))
5.6b
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))
5.6b
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))
5.6b
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64
12×*-un-lft-identity_binary64 pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
8×sub-neg_binary64 associate-*r/_binary64
4×pow-prod-down_binary64 add-log-exp_binary64 flip3--_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 flip--_binary64 *-commutative_binary64
Counts
4 → 88
Calls
4 calls:
7.0ms
(*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))
9.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))
7.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))
7.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

series82.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))
20.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))
20.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))
20.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

simplify41.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049841056
149841056

prune51.0ms

Filtered
68 candidates to 100 candidates (-47.1%)
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New982100
Fresh12122
Picked011
Done000
Total9924123

Merged error: 9.3b

Counts
123 → 24

regimes1.7s

Accuracy

0% (3.9b remaining)

Error of 12.3b against oracle of 8.4b and baseline of 12.3b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
013859
113859

end0.0ms

sample2.5s

Algorithm
intervals
Results
872.0ms10876×body80invalid
661.0ms8000×body80valid

Profiling

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