Details

Time bar (total: 1.8s)

analyze14.0ms

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

sample27.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
5.0ms256×pre80true

simplify146.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (144.0ms)

IterNodesCost
0489715
1489715

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.8b

Counts
2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

18.6b
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/_binary64
6×add-exp-log_binary64 add-cbrt-cube_binary64
4×flip3-+_binary64 flip-+_binary64 frac-times_binary64
3×*-un-lft-identity_binary64 associate-/r*_binary64 flip3--_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64 flip--_binary64
2×cbrt-undiv_binary64 associate-*r/_binary64 associate-/r/_binary64 div-exp_binary64 associate-*l/_binary64
1×add-log-exp_binary64 pow1_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64
Counts
1 → 31
Calls
1 calls:
13.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

series14.0ms

Counts
1 → 3
Calls
1 calls:
14.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

simplify22.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
05037530

prune53.0ms

Filtered
29 candidates to 34 candidates (-17.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New29534
Fresh000
Picked101
Done000
Total30535

Merged error: 0.2b

Counts
35 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 x x) (*.f64 y y))
0.0b
(exp.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y y))))
0.0b
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y y)))))
18.6b
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac_binary64 exp-prod_binary64
30×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
19×log-pow_binary64
11×difference-of-squares_binary64
7×add-log-exp_binary64
6×add-exp-log_binary64 add-cbrt-cube_binary64 associate-/r/_binary64
5×pow1_binary64
4×associate-/l*_binary64
3×flip3-+_binary64 associate-/r*_binary64 log-prod_binary64 div-sub_binary64 div-inv_binary64 flip-+_binary64
2×associate-/l/_binary64 flip3--_binary64 exp-diff_binary64 flip--_binary64
1×sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 rem-log-exp_binary64 rem-exp-log_binary64 clear-num_binary64 frac-2neg_binary64 div-exp_binary64 log-div_binary64
Counts
4 → 106
Calls
4 calls:
4.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
9.0ms
(exp.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y y))))
10.0ms
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y y)))))
9.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y y)))

series46.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
15.0ms
(exp.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y y))))
12.0ms
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y y)))))
12.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049681906
149681906

prune99.0ms

Filtered
96 candidates to 118 candidates (-22.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1180118
Fresh044
Picked011
Done000
Total1185123

Merged error: 0.2b

Counts
123 → 5

localize12.0ms

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)))))
18.0b
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
18.0b
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt_binary64
93×*-un-lft-identity_binary64
90×times-frac_binary64
55×add-cube-cbrt_binary64
54×sqrt-prod_binary64
36×associate-*l*_binary64
30×associate-*r*_binary64
18×add-exp-log_binary64 add-cbrt-cube_binary64
13×distribute-lft-out_binary64
10×sqrt-div_binary64
9×unswap-sqr_binary64
8×pow1_binary64
6×flip3-+_binary64 associate-/r*_binary64 associate-/r/_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip-+_binary64
5×cbrt-undiv_binary64 div-exp_binary64
4×add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64 associate-/l*_binary64
3×div-inv_binary64
2×associate-/l/_binary64 pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64
1×pow-prod-down_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 175
Calls
4 calls:
10.0ms
(/.f64 (+.f64 x y) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))))
38.0ms
(*.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)))

series52.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/.f64 (+.f64 x y) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))))
14.0ms
(*.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)))))
7.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
8.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
053653657

prune116.0ms

Filtered
118 candidates to 187 candidates (-58.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1870187
Fresh033
Picked011
Done011
Total1875192

Merged error: 0.2b

Counts
192 → 5

localize12.0ms

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 x y))
18.0b
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
18.0b
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt_binary64
71×*-un-lft-identity_binary64
62×times-frac_binary64
43×add-cube-cbrt_binary64
40×sqrt-prod_binary64
36×associate-*l*_binary64
13×difference-of-squares_binary64 distribute-lft-out--_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
8×pow1_binary64 sqrt-div_binary64
6×flip3-+_binary64 associate-/r*_binary64 flip-+_binary64
5×associate-/l*_binary64
4×add-log-exp_binary64 associate-*r*_binary64 associate-/r/_binary64
3×unswap-sqr_binary64
2×associate-/l/_binary64 pow1/2_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-*r/_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64 frac-times_binary64
1×pow-prod-down_binary64 flip3--_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 151
Calls
4 calls:
10.0ms
(/.f64 (-.f64 x y) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))))
19.0ms
(*.f64 (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 x y))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/.f64 (-.f64 x y) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))))
17.0ms
(*.f64 (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 x y))
7.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
8.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
058812655

prune105.0ms

Filtered
114 candidates to 163 candidates (-43.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1630163
Fresh022
Picked011
Done022
Total1635168

Merged error: 0.2b

Counts
168 → 5

regimes107.0ms

Accuracy

76.5% (4.8b remaining)

Error of 5.3b against oracle of 0.5b and baseline of 20.8b

bsearch41.0ms

Steps
ItersRangePoint
9
4.489922899979828e-165
1.4700532434388884e-159
1.5914560295974384e-162
9
-2.0025949026897407e-162
-7.7078244958492525e-171
-1.5477292189177258e-162
8
-2.4190552886522042e+154
-8.450831678082356e+149
-1.3746297857855241e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04132
14132

end0.0ms

sample592.0ms

Algorithm
intervals
Results
298.0ms8000×body80valid
153.0ms8000×pre80true

Profiling

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