Details

Time bar (total: 1.6s)

analyze77.0ms

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

sample25.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
066
166

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 23.8b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

22.2b
(sqrt (+ (* x x) y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
1×add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ add-log-exp
Counts
1 → 15
Calls
1 calls:
4.0ms
(sqrt (+ (* x x) y))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(sqrt (+ (* x x) y))

simplify50.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04926159
14926159

prune31.0ms

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: 0.0b

Counts
19 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log associate-*r/ div-exp pow-prod-down *-commutative flip-- div-inv
Counts
2 → 43
Calls
2 calls:
5.0ms
(- (* y (/ -1/2 x)) x)
6.0ms
(* y (/ -1/2 x))

series9.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(- (* y (/ -1/2 x)) x)
3.0ms
(* y (/ -1/2 x))

simplify54.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05315373

prune115.0ms

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

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New49049
Fresh011
Picked011
Done011
Total49352

Merged error: 0.0b

Counts
52 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (/ 1/2 x)))
0.2b
(* y (/ 1/2 x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
2 → 43
Calls
2 calls:
5.0ms
(+ x (* y (/ 1/2 x)))
11.0ms
(* y (/ 1/2 x))

series7.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ x (* y (/ 1/2 x)))
3.0ms
(* y (/ 1/2 x))

simplify68.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04953372
14953372

prune51.0ms

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: 0.0b

Counts
52 → 3

regimes233.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.3b

bsearch29.0ms

Steps
ItersRangePoint
7
4.5794864244603603e+77
2.213600579747949e+79
2.1816647917732645e+79
9
-6.561815366225205e+156
-6.034149864675713e+148
-1.3538915016235814e+154

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03328
13328

end0.0ms

sample737.0ms

Algorithm
intervals
Results
193.0ms8000×body80valid

Profiling

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