Details

Time bar (total: 3.7s)

analyze19.0ms

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
6.0ms249×body128valid
0.0msbody2048valid
0.0msbody512valid
0.0msbody1024valid
0.0msbody256valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
015912
115912

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))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-log-exp_binary64
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))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

simplify59.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05270259

prune18.0ms

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

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))))
0.6b
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.6b
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.6b
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

rewrite48.0ms

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
flip3-+_binary64 swap-sqr_binary64 distribute-lft-out_binary64 pow1/3_binary64 flip-+_binary64
associate-*r*_binary64 associate-*l*_binary64
add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 frac-times_binary64
pow-prod-down_binary64 pow-prod-up_binary64 associate-*r/_binary64 pow-sqr_binary64 associate-*l/_binary64
cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 95
Calls
4 calls:
17.0ms
(*.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)))

series920.0ms

Counts
4 → 12
Calls
4 calls:
265.0ms
(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
213.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
221.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
221.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

simplify77.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049223175
149223175

prune144.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1043107
Fresh123
Picked011
Done011
Total1057112

Merged error: 0.0b

Counts
112 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.6b
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.6b
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.9b
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 4)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod_binary64
19×*-un-lft-identity_binary64
11×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
10×unpow-prod-down_binary64
cbrt-div_binary64
pow1_binary64 add-exp-log_binary64
add-log-exp_binary64 distribute-lft-out_binary64 pow1/3_binary64 add-cbrt-cube_binary64
flip3-+_binary64 pow-unpow_binary64 flip-+_binary64
pow-pow_binary64
pow-to-exp_binary64 sqr-pow_binary64 pow-exp_binary64
Counts
4 → 67
Calls
4 calls:
7.0ms
(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)))
9.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 4)

series1.1s

Counts
4 → 12
Calls
4 calls:
210.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
188.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
186.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
493.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 4)

simplify72.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049782187
149782187

prune162.0ms

Filtered
66 candidates to 79 candidates (-19.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New78179
Fresh044
Picked011
Done022
Total78886

Merged error: 0b

Counts
86 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
0.1b
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.1b
(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))))

rewrite49.0ms

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
flip3-+_binary64 distribute-lft-out_binary64 flip-+_binary64
associate-*r*_binary64 associate-*l*_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-up_binary64
unswap-sqr_binary64 frac-times_binary64
pow-prod-down_binary64 pow-sqr_binary64
associate-*r/_binary64 rem-sqrt-square_binary64 associate-*l/_binary64
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)))
19.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

series332.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
120.0ms
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
127.0ms
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
45.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

simplify58.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
051332528

prune80.0ms

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

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1171118
Fresh134
Picked011
Done033
Total1188126

Merged error: 0b

Counts
126 → 8

regimes66.0ms

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
01912
11912

end0.0ms

sample342.0ms

Algorithm
intervals
Results
185.0ms7700×body128valid
10.0ms113×body1024valid
10.0ms88×body2048valid
4.0ms65×body512valid
2.0ms34×body256valid
0.0msbody128invalid

Profiling

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