Details

Time bar (total: 1.3s)

analyze65.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
25%74.9%0.1%5
43.7%50%6.3%6
43.7%43.7%12.6%7
59.3%26.5%14.1%8
59.3%22.6%18%9
67.1%13.7%19.2%10
67.1%11.5%21.4%11
71%6.9%22%12
71%5.8%23.2%13
73%3.5%23.5%14

sample16.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
0.0msbody80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
066
166

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 23.4b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

21.8b
(sqrt.f64 (+.f64 (*.f64 x x) y))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64 sqrt-prod_binary64
*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 sqrt-div_binary64
flip3-+_binary64 add-log-exp_binary64 pow1/2_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 flip-+_binary64
Counts
1 → 15
Calls
1 calls:
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))

simplify59.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04926159
14926159

prune26.0ms

Filtered
15 candidates to 18 candidates (-20.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New15318
Fresh000
Picked011
Done000
Total15419

Merged error: 0b

Counts
19 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) 3)
21.8b
(sqrt.f64 (+.f64 (*.f64 x x) y))
33.8b
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) 3))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod_binary64
15×add-sqr-sqrt_binary64 sqrt-prod_binary64
14×*-un-lft-identity_binary64 add-cube-cbrt_binary64
12×unpow-prod-down_binary64 cube-prod_binary64
pow1_binary64 sqrt-div_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 cube-div_binary64
flip3-+_binary64 pow-unpow_binary64 add-log-exp_binary64 pow-pow_binary64 flip-+_binary64
cbrt-div_binary64 pow1/2_binary64 sqr-pow_binary64 sqrt-pow1_binary64 unpow3_binary64 cube-mult_binary64
pow-to-exp_binary64 rem-cbrt-cube_binary64 sqrt-pow2_binary64 pow1/3_binary64 rem-sqrt-square_binary64 rem-cube-cbrt_binary64 pow-exp_binary64
Counts
3 → 78
Calls
3 calls:
6.0ms
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) 3)
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
6.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) 3))

series22.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) 3)
7.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
7.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) 3))

simplify58.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04937843
14937843

prune56.0ms

Filtered
49 candidates to 87 candidates (-77.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New87087
Fresh022
Picked011
Done011
Total87491

Merged error: 0b

Counts
91 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(*.f64 1/2 (/.f64 y x))
0.0b
(+.f64 x (*.f64 1/2 (/.f64 y x)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 pow1_binary64
associate-*l*_binary64
cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64
pow-prod-down_binary64 flip3-+_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 43
Calls
2 calls:
6.0ms
(*.f64 1/2 (/.f64 y x))
3.0ms
(+.f64 x (*.f64 1/2 (/.f64 y x)))

series10.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(*.f64 1/2 (/.f64 y x))
5.0ms
(+.f64 x (*.f64 1/2 (/.f64 y x)))

simplify48.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04927372
14927372

prune38.0ms

Filtered
34 candidates to 49 candidates (-44.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New49049
Fresh011
Picked011
Done022
Total49453

Merged error: 0b

Counts
53 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 y (/.f64 -1/2 x)) x)
0.2b
(*.f64 y (/.f64 -1/2 x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 pow1_binary64
associate-*l*_binary64
cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64
pow-prod-down_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64 *-commutative_binary64
Counts
2 → 43
Calls
2 calls:
5.0ms
(-.f64 (*.f64 y (/.f64 -1/2 x)) x)
7.0ms
(*.f64 y (/.f64 -1/2 x))

series10.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(-.f64 (*.f64 y (/.f64 -1/2 x)) x)
4.0ms
(*.f64 y (/.f64 -1/2 x))

simplify45.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05315373

prune36.0ms

Filtered
34 candidates to 49 candidates (-44.1%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New49049
Fresh000
Picked011
Done033
Total49453

Merged error: 0b

Counts
53 → 4

regimes319.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 20.9b

bsearch21.0ms

Steps
ItersRangePoint
7
1.4372210532027569e+135
8.320137619080135e+136
6.947391960525683e+136
9
-4.8280070932576916e+154
-5.881222518501429e+146
-1.1516046553453194e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03328
13328

end0.0ms

sample336.0ms

Algorithm
intervals
Results
207.0ms8000×body80valid
4.0ms152×body80nan

Profiling

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