Details

Time bar (total: 1.4s)

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

sample13.0ms

Algorithm
intervals
Results
6.0ms250×body80valid
0.0ms2×body1280valid
0.0ms2×body640valid
0.0ms1×body2560valid
0.0ms1×body320valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
01588
11588

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

simplify55.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05042169

prune20.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New11415
Fresh000
Picked011
Done000
Total11516

Merged error: 0.0b

Counts
16 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(*.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:
18.0ms
(*.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)))
6.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
6.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

series95.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
22.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
22.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
25.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

simplify61.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049022013
149022013

prune93.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1061107
Fresh033
Picked011
Done011
Total1066112

Merged error: 0.0b

Counts
112 → 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))))

rewrite40.0ms

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)))
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))))

series46.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
19.0ms
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
16.0ms
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
5.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

simplify40.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
052951642

prune60.0ms

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

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1162118
Fresh213
Picked011
Done022
Total1186124

Merged error: 0.0b

Counts
124 → 6

localize11.0ms

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))))
0.2b
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 3) (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
0.5b
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 3)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
121×sqrt-prod_binary64
74×add-sqr-sqrt_binary64
39×*-un-lft-identity_binary64
36×sqrt-div_binary64
29×unpow-prod-down_binary64 cube-prod_binary64
26×associate-*l*_binary64
25×add-cube-cbrt_binary64
24×unswap-sqr_binary64
12×pow1_binary64 sqrt-pow1_binary64
10×associate-*r*_binary64 add-exp-log_binary64
9×flip3-+_binary64 flip-+_binary64
8×cube-div_binary64
7×distribute-lft-out_binary64 add-cbrt-cube_binary64
6×pow1/2_binary64
5×pow-pow_binary64 sqr-pow_binary64
4×add-log-exp_binary64 rem-sqrt-square_binary64 frac-times_binary64
3×pow-unpow_binary64 prod-exp_binary64
2×pow-to-exp_binary64 associate-*r/_binary64 pow-exp_binary64 unpow3_binary64 associate-*l/_binary64 cube-mult_binary64
1×cbrt-unprod_binary64 sqrt-pow2_binary64 pow-prod-up_binary64 pow-plus_binary64 rem-cube-cbrt_binary64 *-commutative_binary64
Counts
4 → 170
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))))
30.0ms
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 3) (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
10.0ms
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 3)

series96.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
22.0ms
(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
10.0ms
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 3) (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
41.0ms
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 3)

simplify57.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050982954

prune91.0ms

Filtered
88 candidates to 182 candidates (-106.8%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1820182
Fresh022
Picked011
Done033
Total1826188

Merged error: 0.0b

Counts
188 → 6

regimes96.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0188
1188

end0.0ms

sample344.0ms

Algorithm
intervals
Results
186.0ms7711×body80valid
12.0ms113×body1280valid
6.0ms50×body2560valid
5.0ms62×body640valid
3.0ms40×body320valid
1.0ms24×body160valid
0.0ms3×body80invalid

Profiling

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