Details

Time bar (total: 1.1s)

analyze60.0ms

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
0%99.9%0.1%4
25%74.9%0.1%5
25%50%25.1%6
25%31.2%43.8%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14

sample17.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0389
1389

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y (* y 3)))
0.2b
(* y (* y 3))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
3.0ms
(+ (* x x) (* y (* y 3)))
4.0ms
(* y (* y 3))

series9.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* x x) (* y (* y 3)))
3.0ms
(* y (* y 3))

simplify40.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04956279
14956279

prune46.0ms

Filtered
21 candidates to 35 candidates (-66.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New31435
Fresh011
Picked011
Done000
Total31637

Merged error: 0.0b

Counts
37 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* (* y y) 3))
0.3b
(* (* y y) 3)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
3.0ms
(+ (* x x) (* (* y y) 3))
5.0ms
(* (* y y) 3)

series9.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* x x) (* (* y y) 3))
3.0ms
(* (* y y) 3)

simplify53.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04917289
14917289

prune40.0ms

Filtered
21 candidates to 36 candidates (-71.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34236
Fresh314
Picked101
Done011
Total38442

Merged error: 0.0b

Counts
42 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(+ (+ (* x x) (* y y)) (* y y))
0.1b
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
associate-+l+
Counts
3 → 38
Calls
3 calls:
3.0ms
(+ (* x x) (* y y))
5.0ms
(+ (+ (* x x) (* y y)) (* y y))
8.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series18.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* x x) (* y y))
6.0ms
(+ (+ (* x x) (* y y)) (* y y))
7.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify56.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04874513
14874513

prune50.0ms

Filtered
32 candidates to 47 candidates (-46.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh112
Picked101
Done011
Total47451

Merged error: 0.0b

Counts
51 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.1b
(+ (+ (* x x) (* y y)) (* y (+ y y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
flip3-+ flip-+
associate-*r/ frac-add sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity add-cbrt-cube
distribute-rgt-in associate-+l+ distribute-lft-in
Counts
2 → 30
Calls
2 calls:
3.0ms
(+ (* x x) (* y y))
8.0ms
(+ (+ (* x x) (* y y)) (* y (+ y y)))

series12.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (* x x) (* y y))
7.0ms
(+ (+ (* x x) (* y y)) (* y (+ y y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05026423

prune33.0ms

Filtered
24 candidates to 36 candidates (-50.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New36036
Fresh022
Picked011
Done011
Total36440

Merged error: 0.0b

Counts
40 → 4

regimes115.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109
1109

end0.0ms

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
0%99.9%0.1%4
25%74.9%0.1%5
25%50%25.1%6
25%31.2%43.8%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14

sample355.0ms

Algorithm
intervals
Results
231.0ms8000×body80valid
0.0ms11×body80invalid

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