Details

Time bar (total: 2.2s)

sample23.0ms

Algorithm
intervals
Results
13.0ms485×body80valid

simplify279.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0137
1236
2354
3454
4544
5874
61564
72064
82194
93144
106444
1131974
1250014

prune4.0ms

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: 0.2b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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

series97.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (+ (* x x) (* y y)) (* y y))
25.0ms
(+ (* x x) (* y y))
36.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify122.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (117.0ms)

IterNodesCost
0218352
11048312
24094291
35002280

prune86.0ms

Filtered
47 candidates to 35 candidates (74.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New39847
Fresh101
Picked101
Done000
Total41849

Merged error: 0.1b

Counts
49 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
6×flip3-+ flip-+
4×associate-*r/ frac-add sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity add-cbrt-cube
1×distribute-rgt-in associate-+l+ distribute-lft-in
Counts
2 → 30
Calls
2 calls:
3.0ms
(+ (* x x) (* y y))
7.0ms
(+ (+ (* x x) (* y y)) (* y (+ y y)))

series62.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (* x x) (* y y))
37.0ms
(+ (+ (* x x) (* y y)) (* y (+ y y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0276338
11408275
25001242

prune72.0ms

Filtered
36 candidates to 27 candidates (75.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New32436
Fresh527
Picked101
Done000
Total38644

Merged error: 0.0b

Counts
44 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
3.0ms
(+ (* x x) (* (* 3 y) y))
5.0ms
(* (* 3 y) y)

series56.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (* x x) (* (* 3 y) y))
23.0ms
(* (* 3 y) y)

simplify134.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (131.0ms)

IterNodesCost
0173161
1862143
24332138
35002137

prune54.0ms

Filtered
35 candidates to 22 candidates (62.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New33235
Fresh235
Picked011
Done000
Total35641

Merged error: 0b

Counts
41 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))
0.2b
(* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
5.9b
(sqrt (+ (+ (* x x) (* y y)) (* y y)))
5.9b
(sqrt (+ (+ (* x x) (* y y)) (* y y)))

rewrite42.0ms

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:
13.0ms
(+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))
13.0ms
(* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
5.0ms
(sqrt (+ (+ (* x x) (* y y)) (* y y)))
8.0ms
(sqrt (+ (+ (* x x) (* y y)) (* y y)))

series170.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))
38.0ms
(* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
51.0ms
(sqrt (+ (+ (* x x) (* y y)) (* y y)))
47.0ms
(sqrt (+ (+ (* x x) (* y y)) (* y y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
02441203
111651041
25001979

prune154.0ms

Filtered
110 candidates to 69 candidates (62.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh044
Picked011
Done011
Total1106116

Merged error: 0b

Counts
116 → 6

regimes87.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample609.0ms

Algorithm
intervals
Results
396.0ms14288×body80valid

Profiling

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