Details

Time bar (total: 1.9s)

analyze121.0ms

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%62.4%12.6%6
25%46.8%28.2%7
31.2%35.9%32.9%8
39%25%36%9
42.9%18.7%38.3%10
47.2%12.9%39.9%11
49.4%9.6%41.1%12
51.6%6.5%41.9%13
52.7%4.8%42.4%14

sample22.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
0.0ms5×body80invalid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0176
1375
2465
3465

prune9.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (+ (* x 2.0) y))
0.0b
(+ (* y (+ (* x 2.0) y)) (* x x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
7.0ms
(* y (+ (* x 2.0) y))
9.0ms
(+ (* y (+ (* x 2.0) y)) (* x x))

series14.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* y (+ (* x 2.0) y))
7.0ms
(+ (* y (+ (* x 2.0) y)) (* x x))

simplify40.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0222234
11119217
25001217

prune58.0ms

Filtered
28 candidates to 41 candidates (-46.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New39241
Fresh011
Picked011
Done000
Total39443

Merged error: 0.0b

Counts
43 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* (* x 2.0) y))
0.0b
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 24
Calls
2 calls:
4.0ms
(+ (* x x) (* (* x 2.0) y))
6.0ms
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

series14.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (* x x) (* (* x 2.0) y))
7.0ms
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify174.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0191234
1998212
24902196
35002196

prune50.0ms

Filtered
23 candidates to 30 candidates (-30.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New29130
Fresh022
Picked101
Done011
Total30434

Merged error: 0.0b

Counts
34 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (* 2.0 y) x))
0.0b
(+ (* x (+ (* 2.0 y) x)) (* y y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
9.0ms
(* x (+ (* 2.0 y) x))
8.0ms
(+ (* x (+ (* 2.0 y) x)) (* y y))

series14.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (+ (* 2.0 y) x))
7.0ms
(+ (* x (+ (* 2.0 y) x)) (* y y))

simplify41.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0225237
11110217
25002217

prune56.0ms

Filtered
29 candidates to 41 candidates (-41.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New41041
Fresh022
Picked011
Done011
Total41445

Merged error: 0.0b

Counts
45 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))
0.6b
(cbrt (+ (* x 2.0) y))
0.6b
(cbrt (+ (* x 2.0) y))
0.6b
(cbrt (+ (* x 2.0) y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
13.0ms
(* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))
4.0ms
(cbrt (+ (* x 2.0) y))
4.0ms
(cbrt (+ (* x 2.0) y))
4.0ms
(cbrt (+ (* x 2.0) y))

series224.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))
56.0ms
(cbrt (+ (* x 2.0) y))
57.0ms
(cbrt (+ (* x 2.0) y))
56.0ms
(cbrt (+ (* x 2.0) y))

simplify117.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (107.0ms)

IterNodesCost
0303895
1897844
23944786
35002772

prune194.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh011
Picked011
Done022
Total994103

Merged error: 0.0b

Counts
103 → 4

regimes77.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

analyze109.0ms

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%62.4%12.6%6
25%46.8%28.2%7
31.2%35.9%32.9%8
39%25%36%9
42.9%18.7%38.3%10
47.2%12.9%39.9%11
49.4%9.6%41.1%12
51.6%6.5%41.9%13
52.7%4.8%42.4%14

sample416.0ms

Algorithm
intervals
Results
282.0ms8000×body80valid
6.0ms189×body80invalid

Profiling

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