Details

Time bar (total: 2.6s)

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

sample12.0ms

Algorithm
intervals
Results
6.0ms250×body80valid
1.0ms4×body2560valid
0.0ms2×body640valid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
016012
116012

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

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))

series23.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

simplify75.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
05265259

prune14.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
0.5b
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod_binary64
35×*-un-lft-identity_binary64
23×add-sqr-sqrt_binary64
18×cbrt-div_binary64
15×add-cube-cbrt_binary64
11×pow1_binary64
9×flip3-+_binary64 swap-sqr_binary64 distribute-lft-out_binary64 pow1/3_binary64 flip-+_binary64
7×associate-*r*_binary64 associate-*l*_binary64
6×add-exp-log_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_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 → 95
Calls
4 calls:
16.0ms
(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
6.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
8.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
6.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

series450.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
107.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
104.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
106.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

simplify101.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
049283175
149283175

prune136.0ms

Filtered
80 candidates to 107 candidates (-33.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1052107
Fresh022
Picked011
Done011
Total1056111

Merged error: 0.0b

Counts
111 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b
(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 6))
1.2b
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 6)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-prod_binary64
22×*-un-lft-identity_binary64
20×unpow-prod-down_binary64
14×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
5×pow1_binary64 add-exp-log_binary64
4×cbrt-div_binary64 add-log-exp_binary64 distribute-lft-out_binary64 pow1/3_binary64 add-cbrt-cube_binary64
3×pow-unpow_binary64
2×flip3-+_binary64 pow-pow_binary64 sqr-pow_binary64 flip-+_binary64
1×pow-to-exp_binary64 pow-exp_binary64
Counts
4 → 75
Calls
4 calls:
8.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
6.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
9.0ms
(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 6))
9.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 6)

series641.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
102.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
135.0ms
(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 6))
300.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 6)

simplify99.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
049062461
149062461

prune140.0ms

Filtered
60 candidates to 87 candidates (-45.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New87087
Fresh033
Picked011
Done022
Total87693

Merged error: 0.0b

Counts
93 → 6

localize8.0ms

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))))

rewrite37.0ms

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))
6.0ms
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
6.0ms
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
16.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

series184.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
69.0ms
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
73.0ms
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
24.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

simplify66.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051552528

prune78.0ms

Filtered
67 candidates to 118 candidates (-76.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1144118
Fresh112
Picked101
Done123
Total1177124

Merged error: 0b

Counts
124 → 7

regimes52.0ms

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

sample339.0ms

Algorithm
intervals
Results
183.0ms7706×body80valid
11.0ms99×body1280valid
7.0ms52×body2560valid
7.0ms77×body640valid
3.0ms41×body320valid
1.0ms25×body160valid

Profiling

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