Details

Time bar (total: 2.3s)

sample28.0ms

Algorithm
intervals
Results
17.0ms449×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

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
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
0.0b
(+ (* x x) (* (* x 2.0) 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:
6.0ms
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
4.0ms
(+ (* x x) (* (* x 2.0) y))

series67.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
43.0ms
(+ (* x x) (* (* x 2.0) y))

simplify167.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0191234
1998212
24902196
35002196

prune52.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* (* x 2.0) y))
0.0b
(* (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))
5.1b
(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))
5.1b
(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))

rewrite32.0ms

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-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
4.0ms
(+ (* x x) (* (* x 2.0) y))
14.0ms
(* (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))
5.0ms
(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))
5.0ms
(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))

series185.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ (* x x) (* (* x 2.0) y))
27.0ms
(* (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))
57.0ms
(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))
59.0ms
(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
02751209
113701079
250011036

prune189.0ms

Filtered
110 candidates to 68 candidates (61.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1091110
Fresh011
Picked101
Done011
Total1103113

Merged error: 0b

Counts
113 → 3

localize6.0ms

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))

series64.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* y (+ (* x 2.0) y))
27.0ms
(+ (* y (+ (* x 2.0) y)) (* x x))

simplify36.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0222234
11119217
25001217

prune57.0ms

Filtered
41 candidates to 28 candidates (68.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New41041
Fresh011
Picked011
Done011
Total41344

Merged error: 0b

Counts
44 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))))
5.1b
(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))
5.1b
(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))
5.1b
(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
75×sqrt-prod
52×add-sqr-sqrt
35×sqrt-pow1
30×pow1 sqrt-div
19×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
9×flip3-+ associate-*r* associate-*l* pow-prod-up flip-+ unswap-sqr
6×add-exp-log add-cbrt-cube
5×pow-prod-down pow-sqr
4×frac-times add-log-exp
3×rem-sqrt-square
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 128
Calls
4 calls:
22.0ms
(* (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))))
5.0ms
(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))
5.0ms
(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))
5.0ms
(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))

series230.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))))
58.0ms
(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))
64.0ms
(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))
54.0ms
(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
02251602
18921493
250011457

prune240.0ms

Filtered
140 candidates to 81 candidates (57.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1400140
Fresh000
Picked011
Done022
Total1403143

Merged error: 0b

Counts
143 → 3

regimes43.0ms

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
0136
1136

end0.0ms

sample684.0ms

Algorithm
intervals
Results
465.0ms14170×body80valid

Profiling

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