Details

Time bar (total: 1.4s)

analyze76.0ms

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
25%21.9%53.2%8
25%14%61%9
28.1%10.9%61%10
31.6%7.4%61%11
33.4%5.7%61%12
35.2%3.8%61%13
36.1%2.9%61%14

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
0482817
1482817

prune9.0ms

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: 0.2b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2.0) (*.f64 4.0 (*.f64 b b)))
0.0b
(*.f64 4.0 (*.f64 b b))
0.3b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2.0)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1_binary64 add-exp-log_binary64
8×add-cbrt-cube_binary64
7×add-sqr-sqrt_binary64
6×*-un-lft-identity_binary64 add-cube-cbrt_binary64
5×add-log-exp_binary64
3×pow-prod-down_binary64 pow-unpow_binary64 cbrt-unprod_binary64 associate-*l*_binary64 unpow-prod-down_binary64 prod-exp_binary64
1×pow-to-exp_binary64 flip3-+_binary64 associate-*r*_binary64 pow-pow_binary64 sqr-pow_binary64 unswap-sqr_binary64 +-commutative_binary64 flip-+_binary64 pow-exp_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 47
Calls
3 calls:
8.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2.0) (*.f64 4.0 (*.f64 b b)))
6.0ms
(*.f64 4.0 (*.f64 b b))
5.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2.0)

series50.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2.0) (*.f64 4.0 (*.f64 b b)))
4.0ms
(*.f64 4.0 (*.f64 b b))
28.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2.0)

simplify67.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04931647
14931647

prune63.0ms

Filtered
41 candidates to 56 candidates (-36.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New54256
Fresh000
Picked101
Done000
Total55257

Merged error: 0b

Counts
57 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))
1.4b
(*.f64 (*.f64 a a) (*.f64 b b))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
48×pow1_binary64
32×add-exp-log_binary64 add-cbrt-cube_binary64
27×pow-prod-down_binary64
21×cbrt-unprod_binary64 prod-exp_binary64
4×pow-prod-up_binary64 associate-*l*_binary64 pow-plus_binary64
3×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
2×add-log-exp_binary64 associate-*r*_binary64 pow-sqr_binary64 pow2_binary64 *-commutative_binary64
1×unswap-sqr_binary64
Counts
2 → 56
Calls
2 calls:
13.0ms
(*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))
9.0ms
(*.f64 (*.f64 a a) (*.f64 b b))

series19.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))
9.0ms
(*.f64 (*.f64 a a) (*.f64 b b))

simplify43.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05112380

prune43.0ms

Filtered
29 candidates to 62 candidates (-113.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New62062
Fresh011
Picked011
Done000
Total62264

Merged error: 0b

Counts
64 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 4.0 (*.f64 b b))
0.0b
(*.f64 2.0 (*.f64 (*.f64 a a) (*.f64 b b)))
0.0b
(-.f64 (+.f64 (+.f64 (pow.f64 b 4) (*.f64 2.0 (*.f64 (*.f64 a a) (*.f64 b b)))) (*.f64 4.0 (*.f64 b b))) 1.0)
1.4b
(*.f64 (*.f64 a a) (*.f64 b b))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
55×pow1_binary64
39×add-exp-log_binary64 add-cbrt-cube_binary64
30×pow-prod-down_binary64
24×cbrt-unprod_binary64 prod-exp_binary64
13×add-log-exp_binary64
9×add-sqr-sqrt_binary64
8×*-un-lft-identity_binary64
7×associate-*l*_binary64
6×add-cube-cbrt_binary64
4×pow-prod-up_binary64 pow-plus_binary64
3×diff-log_binary64 associate-*r*_binary64 sum-log_binary64 *-commutative_binary64
2×unswap-sqr_binary64 pow-sqr_binary64 pow2_binary64
1×sub-neg_binary64 flip3--_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64 associate--l+_binary64
Counts
4 → 91
Calls
4 calls:
5.0ms
(*.f64 4.0 (*.f64 b b))
12.0ms
(*.f64 2.0 (*.f64 (*.f64 a a) (*.f64 b b)))
12.0ms
(-.f64 (+.f64 (+.f64 (pow.f64 b 4) (*.f64 2.0 (*.f64 (*.f64 a a) (*.f64 b b)))) (*.f64 4.0 (*.f64 b b))) 1.0)
11.0ms
(*.f64 (*.f64 a a) (*.f64 b b))

series38.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(*.f64 4.0 (*.f64 b b))
10.0ms
(*.f64 2.0 (*.f64 (*.f64 a a) (*.f64 b b)))
15.0ms
(-.f64 (+.f64 (+.f64 (pow.f64 b 4) (*.f64 2.0 (*.f64 (*.f64 a a) (*.f64 b b)))) (*.f64 4.0 (*.f64 b b))) 1.0)
9.0ms
(*.f64 (*.f64 a a) (*.f64 b b))

simplify56.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04838990
14838990

prune75.0ms

Filtered
58 candidates to 103 candidates (-77.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh000
Picked011
Done011
Total1032105

Merged error: 0b

Counts
105 → 2

regimes95.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02819
12819

end0.0ms

sample495.0ms

Algorithm
intervals
Results
354.0ms8000×body80valid
0.0ms5×body80invalid

Profiling

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