Details

Time bar (total: 9.8s)

sample250.0ms

Algorithm
intervals
Results
130.0ms83×body1280valid
54.0ms52×body640valid
20.0ms85×body80valid
19.0ms25×body320valid
5.0ms11×body160valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
0518050

prune16.0ms

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: 0.4b

Counts
2 → 2

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.5b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.1b
(- (cos x) (cos y))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
16×*-un-lft-identity
12×associate-*r*
11×pow1 add-exp-log add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
8×add-cube-cbrt add-log-exp
7×associate-*l* difference-of-squares
6×sub-neg
5×sqrt-prod
4×distribute-rgt-in frac-times distribute-lft-in pow-prod-down prod-exp cbrt-unprod distribute-lft-out--
2×times-frac diff-log associate-*l/ *-commutative unswap-sqr
1×diff-cos
Counts
4 → 94
Calls
4 calls:
19.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
11.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(- (cos x) (cos y))

series45.0ms

Counts
4 → 10
Calls
4 calls:
23.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
13.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
9.0ms
(- (cos x) (cos y))

simplify64.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049711614
149711614

prune298.0ms

Filtered
72 candidates to 104 candidates (-44.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New968104
Fresh011
Picked101
Done000
Total979106

Merged error: 0.3b

Counts
106 → 9

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (pow (pow (exp (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))) (- (cos x) (cos y)))
1.0b
(- 3.0 (sqrt 5.0))
2.1b
(- (cos x) (cos y))
3.2b
(log (pow (pow (exp (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×log-prod *-un-lft-identity
12×unpow-prod-down
9×add-cube-cbrt
8×add-exp-log add-log-exp
6×pow1 sub-neg associate-*r* add-cbrt-cube
5×rem-log-exp
4×unpow-prod-up associate-*l* pow-exp difference-of-squares
3×flip3-- flip-- distribute-lft-out--
2×distribute-rgt-in pow-to-exp distribute-lft-in diff-log associate-*r/ log-pow diff-cos sqr-pow
1×log-div pow-prod-down prod-exp sqrt-prod *-commutative cbrt-unprod pow-sub unswap-sqr
Counts
4 → 87
Calls
4 calls:
10.0ms
(* (log (pow (pow (exp (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))) (- (cos x) (cos y)))
4.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(- (cos x) (cos y))
7.0ms
(log (pow (pow (exp (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

series291.0ms

Counts
4 → 10
Calls
4 calls:
238.0ms
(* (log (pow (pow (exp (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))) (- (cos x) (cos y)))
0.0ms
(- 3.0 (sqrt 5.0))
9.0ms
(- (cos x) (cos y))
45.0ms
(log (pow (pow (exp (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

simplify36.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
050201912

prune345.0ms

Filtered
70 candidates to 97 candidates (-38.6%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New90797
Fresh088
Picked101
Done000
Total9115106

Merged error: 0.2b

Counts
106 → 15

localize69.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (cos x) (cos y))
1.0b
(- 3.0 (sqrt 5.0))
1.8b
(- (pow (cos x) 3) (pow (cos y) 3))
3.2b
(log (pow (pow (exp (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
24×unpow-prod-down
21×*-un-lft-identity
18×difference-of-squares
15×log-prod
12×cube-prod
10×add-log-exp sqr-pow
7×add-cube-cbrt
6×add-exp-log distribute-lft-out--
5×rem-log-exp
4×pow1 unpow-prod-up sub-neg pow-exp add-cbrt-cube
2×pow-to-exp flip3-- diff-log flip--
1×difference-cubes +-commutative log-div flip3-+ sum-cos sum-log sqrt-prod log-pow flip-+ distribute-lft-out pow-sub
Counts
4 → 91
Calls
4 calls:
7.0ms
(+ (cos x) (cos y))
7.0ms
(- 3.0 (sqrt 5.0))
20.0ms
(- (pow (cos x) 3) (pow (cos y) 3))
11.0ms
(log (pow (pow (exp (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

series87.0ms

Counts
4 → 10
Calls
4 calls:
7.0ms
(+ (cos x) (cos y))
0.0ms
(- 3.0 (sqrt 5.0))
16.0ms
(- (pow (cos x) 3) (pow (cos y) 3))
63.0ms
(log (pow (pow (exp (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

simplify40.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
059331658

prune470.0ms

Filtered
69 candidates to 101 candidates (-46.4%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New992101
Fresh11314
Picked101
Done000
Total10115116

Merged error: 0.2b

Counts
116 → 15

localize73.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.1b
(- (cos x) (cos y))
3.2b
(log (pow (exp (sqrt 2.0)) (* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
16×*-un-lft-identity
11×log-prod
8×add-cube-cbrt flip3-- flip-- add-log-exp
7×add-exp-log difference-of-squares
6×pow1 sub-neg associate-*r* associate-*l* add-cbrt-cube
4×unpow-prod-up distribute-rgt-in frac-times distribute-lft-in distribute-lft-out--
3×unpow-prod-down rem-log-exp
2×times-frac diff-log associate-*r/ associate-*l/
1×pow-to-exp pow-prod-down pow-exp prod-exp sqrt-prod log-pow *-commutative cbrt-unprod diff-cos unswap-sqr sqr-pow
Counts
4 → 88
Calls
4 calls:
16.0ms
(* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))
5.0ms
(- 3.0 (sqrt 5.0))
7.0ms
(- (cos x) (cos y))
9.0ms
(log (pow (exp (sqrt 2.0)) (* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))))

series71.0ms

Counts
4 → 10
Calls
4 calls:
20.0ms
(* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
12.0ms
(- (cos x) (cos y))
39.0ms
(log (pow (exp (sqrt 2.0)) (* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))))

simplify31.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
049931732
149931732

prune273.0ms

Filtered
69 candidates to 98 candidates (-42.0%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New94498
Fresh11314
Picked101
Done000
Total9617113

Merged error: 0.2b

Counts
113 → 17

regimes328.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04475
14475

end0.0ms

sample6.8s

Algorithm
intervals
Results
3.8s2761×body1280valid
1.6s1825×body640valid
472.0ms749×body320valid
462.0ms2309×body80valid
151.0ms356×body160valid

Profiling

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