Details

Time bar (total: 2.2s)

analyze67.0ms

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

sample12.0ms

Algorithm
intervals
Results
7.0ms256×body128valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03813
13813

prune3.0ms

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: 0.0b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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:
7.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
4.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
13.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))

series139.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
36.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
50.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))

simplify88.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
04844758
14844758

prune34.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New44347
Fresh011
Picked011
Done000
Total44549

Merged error: 0b

Counts
49 → 5

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))

rewrite12.0ms

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))

series88.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
37.0ms
(*.f64 y (*.f64 y 3))

simplify49.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04976410
14976410

prune21.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New34135
Fresh123
Picked011
Done011
Total35540

Merged error: 0b

Counts
40 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 y y) 3)
0.2b
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3))))
5.9b
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3)))
5.9b
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt_binary64
26×pow1_binary64
24×sqrt-prod_binary64
16×sqrt-div_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
10×pow1/2_binary64 sqrt-pow1_binary64
9×associate-*r*_binary64
8×flip3-+_binary64 swap-sqr_binary64 flip-+_binary64
7×associate-*l*_binary64
6×pow-prod-down_binary64
5×pow-prod-up_binary64 unswap-sqr_binary64
4×add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64 frac-times_binary64
3×pow-sqr_binary64
2×associate-*r/_binary64 rem-sqrt-square_binary64 associate-*l/_binary64 *-commutative_binary64
1×rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 pow2_binary64
Counts
4 → 106
Calls
4 calls:
6.0ms
(*.f64 (*.f64 y y) 3)
14.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3))))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3)))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3)))

series213.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(*.f64 (*.f64 y y) 3)
59.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3))))
59.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3)))
61.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3)))

simplify102.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
048771950
148771950

prune74.0ms

Filtered
66 candidates to 118 candidates (-78.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1180118
Fresh022
Picked011
Done022
Total1185123

Merged error: 0b

Counts
123 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
9×pow1/3_binary64
6×swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
1×cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 73
Calls
4 calls:
6.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series635.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
147.0ms
(cbrt.f64 y)
152.0ms
(cbrt.f64 y)
166.0ms
(cbrt.f64 y)

simplify64.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04935588
14935588

prune57.0ms

Filtered
65 candidates to 85 candidates (-30.8%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done033
Total85590

Merged error: 0b

Counts
90 → 5

regimes61.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
11122

end0.0ms

sample339.0ms

Algorithm
intervals
Results
218.0ms8000×body128valid
0.0ms7×body128invalid

Profiling

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