Details

Time bar (total: 847.0ms)

analyze72.0ms

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

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0msbody80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
066
166

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 24.1b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

22.4b
(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))

simplify60.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04926159
14926159

prune13.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New16218
Fresh000
Picked011
Done000
Total16319

Merged error: 0b

Counts
19 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
flip3-+_binary64 *-un-lft-identity_binary64 pow1_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 → 11
Calls
1 calls:
3.0ms
(+.f64 x (*.f64 1/2 (/.f64 y x)))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(+.f64 x (*.f64 1/2 (/.f64 y x)))

simplify61.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05032143

prune8.0ms

Filtered
10 candidates to 14 candidates (-40.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New14014
Fresh011
Picked011
Done011
Total14317

Merged error: 0b

Counts
17 → 3

localize4.0ms

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))

rewrite14.0ms

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:
6.0ms
(-.f64 (*.f64 y (/.f64 -1/2 x)) x)
7.0ms
(*.f64 y (/.f64 -1/2 x))

series10.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(-.f64 (*.f64 y (/.f64 -1/2 x)) x)
3.0ms
(*.f64 y (/.f64 -1/2 x))

simplify45.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05315373

prune22.0ms

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

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New49049
Fresh000
Picked011
Done022
Total49352

Merged error: 0b

Counts
52 → 3

regimes143.0ms

Accuracy

99% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.4b

bsearch22.0ms

Steps
ItersRangePoint
10
4.642655589724969e+72
2.712234655313813e+84
2.67516239235005e+84
8
-5.784093121171438e+155
-9.282427066130972e+151
-1.3651068086214808e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03328
13328

end0.0ms

sample321.0ms

Algorithm
intervals
Results
195.0ms8000×body80valid
4.0ms164×body80nan

Profiling

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