Details

Time bar (total: 1.8s)

analyze18.0ms

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

sample13.0ms

Algorithm
intervals
Results
5.0ms245×body80valid
0.0ms4×body640valid
0.0ms2×body2560valid
0.0ms2×body1280valid
0.0ms2×body160valid
0.0ms1×body320valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
01818
11818

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))

rewrite6.0ms

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:
6.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))

simplify62.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04944171
14944171

prune24.0ms

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))
0.0b
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))
0.0b
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))
0.4b
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))) (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))))

rewrite38.0ms

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)) 2.0))
6.0ms
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))
6.0ms
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))
16.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))) (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))))

series50.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))
18.0ms
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))
20.0ms
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))
6.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))) (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))))

simplify44.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
049791678
149791678

prune135.0ms

Filtered
65 candidates to 118 candidates (-81.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1162118
Fresh022
Picked011
Done011
Total1166122

Merged error: 0.0b

Counts
122 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))))
0.1b
(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))))
0.4b
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))))))
0.4b
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))))

rewrite88.0ms

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)) 2.0))))
7.0ms
(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))))
33.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))))))
32.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))))

series79.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))))
25.0ms
(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))))
11.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))))))
19.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
217 → 217
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050133701

prune171.0ms

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

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2152217
Fresh033
Picked011
Done022
Total2158223

Merged error: 0.0b

Counts
223 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) 3))))
0.4b
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) 3)))
0.4b
(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) 3))
0.5b
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) 3)

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
126×sqrt-prod_binary64
122×sqrt-div_binary64
82×add-sqr-sqrt_binary64
76×cbrt-prod_binary64
47×*-un-lft-identity_binary64
39×unpow-prod-down_binary64 cube-prod_binary64
35×flip3-+_binary64 flip-+_binary64
32×frac-times_binary64
31×add-cube-cbrt_binary64
30×associate-*r*_binary64
28×cube-div_binary64
27×unswap-sqr_binary64
26×cbrt-div_binary64
17×associate-*l*_binary64
16×associate-*r/_binary64
14×pow1_binary64
12×add-exp-log_binary64
10×add-cbrt-cube_binary64 associate-*l/_binary64
8×distribute-lft-out_binary64
6×sqr-pow_binary64
5×pow-pow_binary64
4×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 prod-exp_binary64
3×pow-unpow_binary64 unpow3_binary64 cube-mult_binary64
2×pow1/2_binary64 *-commutative_binary64
1×pow-to-exp_binary64 rem-cbrt-cube_binary64 sqrt-pow2_binary64 pow1/3_binary64 rem-cube-cbrt_binary64 pow-exp_binary64
Counts
4 → 214
Calls
4 calls:
29.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) 3))))
29.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) 3)))
11.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) 3))
9.0ms
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) 3)

series108.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0))) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) 3))))
19.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) 3)))
25.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) 3))
58.0ms
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2.0)))) 3)

simplify87.0ms

Algorithm
egg-herbie
Counts
226 → 226
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050464682

prune186.0ms

Filtered
108 candidates to 226 candidates (-109.3%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2260226
Fresh044
Picked011
Done033
Total2268234

Merged error: 0.0b

Counts
234 → 8

regimes152.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0188
1188

end0.0ms

sample337.0ms

Algorithm
intervals
Results
173.0ms7656×body80valid
16.0ms106×body1280valid
8.0ms65×body2560valid
7.0ms87×body640valid
6.0ms50×body320valid
2.0ms36×body160valid

Profiling

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