Details

Time bar (total: 1.5s)

analyze69.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%50%25.1%6
25%31.2%43.8%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14

sample13.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
04013
14013

prune4.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y y))
0.0b
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
0.1b
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp_binary64
10×sum-log_binary64
3×flip3-+_binary64 *-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64
2×associate-+l+_binary64
Counts
3 → 38
Calls
3 calls:
4.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
9.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
10.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))

series80.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
28.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
32.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))

simplify110.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
04835758
14835758

prune39.0ms

Filtered
33 candidates to 47 candidates (-42.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New40747
Fresh011
Picked011
Done000
Total40949

Merged error: 0.0b

Counts
49 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
0.2b
(*.f64 y (*.f64 y 3))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×add-log-exp_binary64
3×pow-prod-down_binary64 *-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 associate-*l*_binary64 prod-exp_binary64 add-sqr-sqrt_binary64
1×flip3-+_binary64 associate-*r*_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 29
Calls
2 calls:
5.0ms
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
5.0ms
(*.f64 y (*.f64 y 3))

series51.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
22.0ms
(*.f64 y (*.f64 y 3))

simplify63.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04976410
14976410

prune26.0ms

Filtered
21 candidates to 35 candidates (-66.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New30535
Fresh527
Picked011
Done011
Total35944

Merged error: 0.0b

Counts
44 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 y (*.f64 y 3))
0.3b
(*.f64 (sqrt.f64 (*.f64 y (*.f64 y 3))) (sqrt.f64 (*.f64 y (*.f64 y 3))))
19.3b
(sqrt.f64 (*.f64 y (*.f64 y 3)))
19.3b
(sqrt.f64 (*.f64 y (*.f64 y 3)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1_binary64
80×pow-prod-down_binary64
66×sqrt-pow1_binary64
17×pow-prod-up_binary64
14×pow1/2_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 pow-sqr_binary64
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64
7×associate-*l*_binary64
6×sqrt-prod_binary64
5×associate-*r*_binary64
4×add-log-exp_binary64 swap-sqr_binary64 cbrt-unprod_binary64 prod-exp_binary64
2×*-commutative_binary64
1×rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 unswap-sqr_binary64 pow2_binary64
Counts
4 → 108
Calls
4 calls:
7.0ms
(*.f64 y (*.f64 y 3))
12.0ms
(*.f64 (sqrt.f64 (*.f64 y (*.f64 y 3))) (sqrt.f64 (*.f64 y (*.f64 y 3))))
4.0ms
(sqrt.f64 (*.f64 y (*.f64 y 3)))
4.0ms
(sqrt.f64 (*.f64 y (*.f64 y 3)))

series109.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(*.f64 y (*.f64 y 3))
41.0ms
(*.f64 (sqrt.f64 (*.f64 y (*.f64 y 3))) (sqrt.f64 (*.f64 y (*.f64 y 3))))
24.0ms
(sqrt.f64 (*.f64 y (*.f64 y 3)))
25.0ms
(sqrt.f64 (*.f64 y (*.f64 y 3)))

simplify95.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
05003737

prune62.0ms

Filtered
53 candidates to 120 candidates (-126.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1182120
Fresh426
Picked101
Done022
Total1236129

Merged error: 0.0b

Counts
129 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 y (*.f64 y 3))
0.3b
(*.f64 (fabs.f64 (*.f64 y (sqrt.f64 3))) (sqrt.f64 (*.f64 y (*.f64 y 3))))
0.4b
(*.f64 y (sqrt.f64 3))
19.3b
(sqrt.f64 (*.f64 y (*.f64 y 3)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1_binary64
16×add-sqr-sqrt_binary64
13×add-exp-log_binary64 add-cbrt-cube_binary64
11×associate-*r*_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
9×associate-*l*_binary64
8×pow-prod-down_binary64
6×sqrt-prod_binary64
5×cbrt-unprod_binary64 prod-exp_binary64
4×add-log-exp_binary64
3×sqrt-pow1_binary64 unswap-sqr_binary64 *-commutative_binary64
1×pow1/2_binary64
Counts
4 → 71
Calls
4 calls:
5.0ms
(*.f64 y (*.f64 y 3))
7.0ms
(*.f64 (fabs.f64 (*.f64 y (sqrt.f64 3))) (sqrt.f64 (*.f64 y (*.f64 y 3))))
5.0ms
(*.f64 y (sqrt.f64 3))
4.0ms
(sqrt.f64 (*.f64 y (*.f64 y 3)))

series111.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(*.f64 y (*.f64 y 3))
42.0ms
(*.f64 (fabs.f64 (*.f64 y (sqrt.f64 3))) (sqrt.f64 (*.f64 y (*.f64 y 3))))
23.0ms
(*.f64 y (sqrt.f64 3))
26.0ms
(sqrt.f64 (*.f64 y (*.f64 y 3)))

simplify87.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
05078755

prune51.0ms

Filtered
50 candidates to 83 candidates (-66.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New82183
Fresh123
Picked011
Done022
Total83689

Merged error: 0b

Counts
89 → 6

regimes67.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01122
11122

end0.0ms

sample362.0ms

Algorithm
intervals
Results
231.0ms8000×body80valid
0.0ms9×body80invalid

Profiling

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