Details

Time bar (total: 2.4s)

analyze20.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
50%50%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
87.4%12.5%0.1%6
87.4%12.5%0.1%7
93.7%6.2%0.1%8
93.7%6.2%0.1%9
96.8%3.1%0.1%10
96.8%3.1%0.1%11
98.3%1.6%0.1%12
98.3%1.6%0.1%13
99.1%0.8%0.1%14

sample11.0ms

Algorithm
intervals
Results
5.0ms249×body80valid
0.0ms3×body1280valid
0.0ms2×body640valid
0.0ms2×body320valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
016012
116012

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 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity_binary64 add-log-exp_binary64
1×flip3-+_binary64 pow1_binary64 distribute-lft-out_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
1 → 12
Calls
1 calls:
10.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

simplify71.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
05265259

prune12.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.0b

Counts
16 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
0.0b
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.0b
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.4b
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity_binary64 sqrt-prod_binary64
28×add-sqr-sqrt_binary64
21×pow1_binary64
16×sqrt-div_binary64
14×add-cube-cbrt_binary64
11×swap-sqr_binary64
10×pow1/2_binary64 sqrt-pow1_binary64
9×flip3-+_binary64 distribute-lft-out_binary64 flip-+_binary64
7×associate-*r*_binary64 associate-*l*_binary64
6×add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_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 → 106
Calls
4 calls:
6.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
8.0ms
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
6.0ms
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
17.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

series166.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
58.0ms
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
63.0ms
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
23.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

simplify61.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
051552528

prune78.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1162118
Fresh022
Picked011
Done011
Total1166122

Merged error: 0.0b

Counts
122 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
0.1b
(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
0.4b
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))))
0.4b
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
122×sqrt-div_binary64
112×sqrt-prod_binary64
91×sqrt-pow1_binary64
69×pow1_binary64
60×add-sqr-sqrt_binary64
47×pow1/2_binary64
42×*-un-lft-identity_binary64
39×pow-prod-up_binary64
35×flip3-+_binary64 flip-+_binary64
32×frac-times_binary64
22×add-cube-cbrt_binary64
20×swap-sqr_binary64
17×associate-*l*_binary64
16×associate-*r/_binary64
12×pow-prod-down_binary64
11×associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 pow-sqr_binary64
10×associate-*l/_binary64
9×distribute-lft-out_binary64
4×add-log-exp_binary64 cbrt-unprod_binary64 rem-sqrt-square_binary64 prod-exp_binary64
3×sqrt-unprod_binary64
2×*-commutative_binary64
1×rem-square-sqrt_binary64 pow-plus_binary64 pow2_binary64
Counts
4 → 205
Calls
4 calls:
7.0ms
(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
7.0ms
(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
32.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))))
21.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))

series290.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
102.0ms
(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
23.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))))
65.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))

simplify156.0ms

Algorithm
egg-herbie
Counts
217 → 217
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
049195660
149195660

prune195.0ms

Filtered
102 candidates to 217 candidates (-112.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2161217
Fresh123
Picked011
Done022
Total2176223

Merged error: 0.0b

Counts
223 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
0.4b
(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
0.4b
(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
0.4b
(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
69×cbrt-prod_binary64
44×add-sqr-sqrt_binary64
42×*-un-lft-identity_binary64
40×sqrt-prod_binary64
22×add-cube-cbrt_binary64
18×cbrt-div_binary64 sqrt-div_binary64
14×swap-sqr_binary64
11×pow1_binary64
10×associate-*r*_binary64 associate-*l*_binary64
9×flip3-+_binary64 distribute-lft-out_binary64 pow1/3_binary64 unswap-sqr_binary64 flip-+_binary64
6×add-exp-log_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64 frac-times_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 associate-*r/_binary64 pow-sqr_binary64 associate-*l/_binary64
1×cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 120
Calls
4 calls:
22.0ms
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
7.0ms
(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
7.0ms
(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
7.0ms
(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

series416.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
101.0ms
(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
106.0ms
(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
105.0ms
(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

simplify90.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049654469
149654469

prune196.0ms

Filtered
87 candidates to 132 candidates (-51.7%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1311132
Fresh022
Picked011
Done033
Total1317138

Merged error: 0.0b

Counts
138 → 7

regimes54.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01912
11912

end0.0ms

sample329.0ms

Algorithm
intervals
Results
177.0ms7687×body80valid
15.0ms116×body1280valid
7.0ms77×body640valid
6.0ms51×body2560valid
3.0ms48×body320valid
1.0ms21×body160valid
0.0ms1×body80invalid

Profiling

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