Details

Time bar (total: 1.5s)

analyze59.0ms

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

sample17.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0389
1389

prune5.0ms

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: 0.1b

Counts
2 → 1

localize6.0ms

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))

rewrite22.0ms

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))
7.0ms
(+.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))

series25.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
9.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
9.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))

simplify54.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05136513

prune62.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New371047
Fresh000
Picked101
Done000
Total381048

Merged error: 0.0b

Counts
48 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp_binary64
6×flip3-+_binary64 flip-+_binary64
4×associate-*r/_binary64 frac-add_binary64 sum-log_binary64
2×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 associate-+r+_binary64
1×associate-+l+_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
Counts
2 → 30
Calls
2 calls:
4.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
8.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y (+.f64 y y)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
9.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y (+.f64 y y)))

simplify87.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
04811423
14811423

prune42.0ms

Filtered
22 candidates to 36 candidates (-63.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New33336
Fresh549
Picked011
Done000
Total38846

Merged error: 0.0b

Counts
46 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))))) (*.f64 y y))
0.3b
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))))
5.8b
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))))
5.8b
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt_binary64
24×sqrt-prod_binary64
21×pow1_binary64
16×sqrt-div_binary64
14×*-un-lft-identity_binary64 add-cube-cbrt_binary64
10×pow1/2_binary64 sqrt-pow1_binary64
9×flip3-+_binary64 flip-+_binary64
8×swap-sqr_binary64
6×add-log-exp_binary64 associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
5×pow-prod-up_binary64
4×unswap-sqr_binary64 frac-times_binary64
3×pow-prod-down_binary64 pow-sqr_binary64
2×associate-*r/_binary64 rem-sqrt-square_binary64 associate-*l/_binary64
1×cbrt-unprod_binary64 rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 prod-exp_binary64 +-commutative_binary64 pow2_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 98
Calls
4 calls:
13.0ms
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))))) (*.f64 y y))
13.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))))

series39.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))))) (*.f64 y y))
9.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))))
9.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))))
12.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))))

simplify61.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049591363
149591363

prune89.0ms

Filtered
67 candidates to 110 candidates (-64.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh066
Picked011
Done011
Total1108118

Merged error: 0.0b

Counts
118 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 y y) 3)
0.3b
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3))))
5.8b
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3)))
5.8b
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3)))

rewrite32.0ms

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)
13.0ms
(*.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)))

series33.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(*.f64 (*.f64 y y) 3)
9.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3))))
10.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3)))
10.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3)))

simplify100.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
048811300
148811300

prune83.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1144118
Fresh325
Picked101
Done022
Total1188126

Merged error: 0.0b

Counts
126 → 8

regimes219.0ms

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 (1.0ms)

IterNodesCost
01113
11113

end0.0ms

sample353.0ms

Algorithm
intervals
Results
223.0ms8000×body80valid
0.0ms10×body80invalid

Profiling

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