Details

Time bar (total: 3.6s)

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

sample13.0ms

Algorithm
intervals
Results
6.0ms248×body128valid
0.0ms4×body512valid
0.0ms3×body1024valid
0.0ms1×body2048valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

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
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))

series42.0ms

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

simplify64.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05270259

prune15.0ms

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

localize9.0ms

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)))

rewrite51.0ms

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:
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)))

series898.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
195.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
211.0ms
(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
224.0ms
(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

prune136.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh022
Picked011
Done011
Total1074111

Merged error: 0.0b

Counts
111 → 4

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))))

rewrite48.0ms

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)))
18.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

series339.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
124.0ms
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
123.0ms
(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
46.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

simplify57.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
051332528

prune82.0ms

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

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1162118
Fresh101
Picked011
Done022
Total1175122

Merged error: 0.0b

Counts
122 → 5

localize13.0ms

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

rewrite75.0ms

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-*r*_binary64
25×add-cube-cbrt_binary64
24×unswap-sqr_binary64
12×pow1_binary64 sqrt-pow1_binary64
10×add-exp-log_binary64 associate-*l*_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 rem-cube-cbrt_binary64 *-commutative_binary64
Counts
4 → 169
Calls
4 calls:
7.0ms
(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
8.0ms
(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
27.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 3))
10.0ms
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 3)

series949.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
206.0ms
(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
52.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 3))
475.0ms
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 3)

simplify87.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050584690

prune137.0ms

Filtered
87 candidates to 181 candidates (-108.0%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1801181
Fresh011
Picked011
Done033
Total1806186

Merged error: 0b

Counts
186 → 6

regimes52.0ms

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

sample362.0ms

Algorithm
intervals
Results
190.0ms7675×body128valid
11.0ms96×body2048valid
10.0ms120×body1024valid
4.0ms66×body512valid
2.0ms43×body256valid

Profiling

Loading profile data...