Details

Time bar (total: 1.9s)

sample28.0ms

Algorithm
intervals
Results
17.0ms468×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0176
1375
2465
3465

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:
6.0ms
(* y (+ (* x 2.0) y))
7.0ms
(+ (* y (+ (* x 2.0) y)) (* x x))

series63.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* y (+ (* x 2.0) y))
24.0ms
(+ (* y (+ (* x 2.0) y)) (* x x))

simplify39.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0222234
11119217
25001217

prune54.0ms

Filtered
41 candidates to 28 candidates (68.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New40141
Fresh011
Picked101
Done000
Total41243

Merged error: 0.0b

Counts
43 → 2

localize7.0ms

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))

rewrite10.0ms

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))

series62.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ (* x x) (* (* x 2.0) y))
22.0ms
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify156.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0191234
1998212
24902196
35002196

prune45.0ms

Filtered
30 candidates to 23 candidates (76.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New29130
Fresh011
Picked011
Done000
Total29332

Merged error: 0.0b

Counts
32 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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
(+ (* x (+ (* 2.0 y) x)) (* y y))
6.0ms
(* x (+ (* 2.0 y) x))

series58.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (* x (+ (* 2.0 y) x)) (* y y))
36.0ms
(* x (+ (* 2.0 y) x))

simplify36.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0225237
11110217
25001217

prune57.0ms

Filtered
41 candidates to 29 candidates (70.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New40141
Fresh011
Picked011
Done011
Total40444

Merged error: 0b

Counts
44 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y (+ (* x 2.0) y)) (* x x))
0.0b
(* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))
5.2b
(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
5.2b
(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-+l+ associate-*r/ associate-*l/
1×+-commutative pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 100
Calls
4 calls:
7.0ms
(+ (* y (+ (* x 2.0) y)) (* x x))
17.0ms
(* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))
6.0ms
(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
6.0ms
(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))

series158.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (* y (+ (* x 2.0) y)) (* x x))
24.0ms
(* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))
51.0ms
(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
55.0ms
(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
02261070
11033984
25001952

prune157.0ms

Filtered
112 candidates to 68 candidates (60.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1120112
Fresh011
Picked011
Done022
Total1124116

Merged error: 0b

Counts
116 → 4

regimes53.0ms

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

sample731.0ms

Algorithm
intervals
Results
496.0ms14328×body80valid

Profiling

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