Details

Time bar (total: 1.4s)

analyze12.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%18.7%81.3%0
0%18.7%81.3%1
0%18.7%81.3%2
0%18.7%81.3%3
0%18.7%81.3%4
4.7%14%81.3%5
5.3%13.5%81.3%6
18.1%0.6%81.3%7
18.1%0.6%81.3%8
18.6%0.1%81.3%9
18.6%0.1%81.3%10
18.7%0%81.3%11
18.7%0%81.3%12
18.7%0%81.3%13
18.7%0%81.3%14

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
5.0ms256×pre80true

simplify145.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (142.0ms)

IterNodesCost
0489715
1489715

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 22.3b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 x y) (+.f64 x y))
22.1b
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
8×associate-/l/_binary64 frac-times_binary64
7×flip3-+_binary64 flip-+_binary64
6×flip3--_binary64 add-cube-cbrt_binary64 flip--_binary64
5×associate-*l*_binary64
4×pow1_binary64 associate-*r*_binary64 associate-*r/_binary64 associate-*l/_binary64
3×associate-/r*_binary64 times-frac_binary64
2×add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-/r/_binary64 prod-exp_binary64 div-exp_binary64
1×pow-prod-down_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 associate-/l*_binary64 distribute-lft-out--_binary64 div-inv_binary64 *-commutative_binary64
Counts
2 → 62
Calls
2 calls:
9.0ms
(*.f64 (-.f64 x y) (+.f64 x y))
13.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(*.f64 (-.f64 x y) (+.f64 x y))
15.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05521895

prune68.0ms

Filtered
54 candidates to 68 candidates (-25.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New65368
Fresh000
Picked011
Done000
Total65469

Merged error: 0.1b

Counts
69 → 4

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify5.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune5.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044

Merged error: 0.1b

Counts
4 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (-.f64 x y) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))))
0.0b
(*.f64 (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))))
21.8b
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
21.8b
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
115×add-sqr-sqrt_binary64
96×times-frac_binary64
95×*-un-lft-identity_binary64
57×add-cube-cbrt_binary64 sqrt-prod_binary64
36×associate-*l*_binary64
30×associate-*r*_binary64
18×add-exp-log_binary64 add-cbrt-cube_binary64
13×difference-of-squares_binary64 distribute-lft-out--_binary64
10×sqrt-div_binary64
9×unswap-sqr_binary64
8×pow1_binary64
6×associate-/r*_binary64 distribute-lft-out_binary64 associate-/r/_binary64
5×flip3-+_binary64 cbrt-undiv_binary64 associate-/l*_binary64 div-exp_binary64 flip-+_binary64
4×add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64
3×div-inv_binary64
2×associate-/l/_binary64 pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64
1×pow-prod-down_binary64 flip3--_binary64 associate-*r/_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 183
Calls
4 calls:
10.0ms
(/.f64 (-.f64 x y) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))))
37.0ms
(*.f64 (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))

series38.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/.f64 (-.f64 x y) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))))
12.0ms
(*.f64 (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))))
6.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
7.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
054823858

prune121.0ms

Filtered
125 candidates to 195 candidates (-56.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1950195
Fresh011
Picked011
Done022
Total1954199

Merged error: 0.1b

Counts
199 → 4

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify5.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044

Merged error: 0.1b

Counts
4 → 4

regimes145.0ms

Accuracy

78.6% (4.5b remaining)

Error of 4.9b against oracle of 0.4b and baseline of 21.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02534
12534

end0.0ms

sample576.0ms

Algorithm
intervals
Results
297.0ms8000×body80valid
145.0ms8000×pre80true

Profiling

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