Details

Time bar (total: 1.6s)

analyze133.0ms

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%62.4%12.6%6
25%40.6%34.4%7
25%32.8%42.2%8
25%23.4%51.6%9
28.1%18%54%10
31.6%11.5%56.9%11
33.4%8.9%57.8%12
35.2%5.7%59.1%13
36.1%4.4%59.4%14

sample19.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
1.0ms14×body80invalid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
0500710

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(-.f64 (pow.f64 x 4) (pow.f64 y 4))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64
9×difference-of-squares_binary64
8×unpow-prod-down_binary64
6×sqr-pow_binary64
5×*-un-lft-identity_binary64
3×add-log-exp_binary64
2×distribute-lft-out--_binary64
1×sub-neg_binary64 pow1_binary64 flip3--_binary64 diff-log_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip--_binary64
Counts
1 → 22
Calls
1 calls:
7.0ms
(-.f64 (pow.f64 x 4) (pow.f64 y 4))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(-.f64 (pow.f64 x 4) (pow.f64 y 4))

simplify99.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
04899414
14899414

prune16.0ms

Filtered
16 candidates to 25 candidates (-56.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New24125
Fresh000
Picked011
Done000
Total24226

Merged error: 0.0b

Counts
26 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y y))
0.0b
(-.f64 (*.f64 x x) (*.f64 y y))
0.3b
(*.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
7×add-log-exp_binary64 add-sqr-sqrt_binary64
5×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×flip3-+_binary64 flip3--_binary64 associate-*r*_binary64 flip--_binary64 flip-+_binary64 frac-times_binary64
3×sub-neg_binary64 associate-*l*_binary64
2×associate-*r/_binary64 difference-of-squares_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 diff-log_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 52
Calls
3 calls:
4.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
4.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
10.0ms
(*.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y)))

series113.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
22.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
71.0ms
(*.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049821121
149821121

prune41.0ms

Filtered
47 candidates to 61 candidates (-29.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New60161
Fresh000
Picked101
Done011
Total61263

Merged error: 0b

Counts
63 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
32×frac-times_binary64
25×flip3-+_binary64 flip-+_binary64
16×associate-*l/_binary64
10×*-un-lft-identity_binary64 pow1_binary64 associate-*r/_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64
9×flip3--_binary64 associate-*r*_binary64 flip--_binary64
6×add-cube-cbrt_binary64
5×add-log-exp_binary64
4×pow-prod-down_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64
2×sub-neg_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 *-commutative_binary64
1×distribute-lft-out_binary64 unswap-sqr_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 +-commutative_binary64 sum-log_binary64
Counts
3 → 88
Calls
3 calls:
4.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
9.0ms
(*.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y))
14.0ms
(*.f64 (*.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y)) (-.f64 x y))

series138.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
31.0ms
(*.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y))
83.0ms
(*.f64 (*.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y)) (-.f64 x y))

simplify92.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049742498
149742498

prune73.0ms

Filtered
74 candidates to 97 candidates (-31.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh000
Picked011
Done011
Total97299

Merged error: 0b

Counts
99 → 2

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01710
11710

end0.0ms

sample532.0ms

Algorithm
intervals
Results
366.0ms8000×body80valid
18.0ms330×body80invalid

Profiling

Loading profile data...