Details

Time bar (total: 12.2s)

sample178.0ms

Algorithm
intervals
Results
93.0ms83×body1280valid
37.0ms57×body640valid
12.0ms84×body80valid
10.0ms19×body320valid
4.0ms13×body160valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07430
118230
265730
3272730
4500130

prune6.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize235.0ms

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)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.6b
(- (cos x) (cos y))

rewrite43.0ms

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)))
12.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms
(- 3.0 (sqrt 5.0))
5.0ms
(- (cos x) (cos y))

series287.0ms

Counts
4 → 10
Calls
4 calls:
135.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
90.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
61.0ms
(- (cos x) (cos y))

simplify72.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06221094
126431002
250031002

prune557.0ms

Filtered
104 candidates to 70 candidates (67.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New9410104
Fresh000
Picked101
Done000
Total9510105

Merged error: 0.3b

Counts
105 → 10

localize50.0ms

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))) (- (cos x) (cos y)))
0.3b
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.6b
(- (cos x) (cos y))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
36×associate-*r/
35×flip3-- flip--
32×frac-times
27×add-sqr-sqrt
20×pow1 add-exp-log add-cbrt-cube
18×associate-*r*
17×*-un-lft-identity
16×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt
8×associate-*l*
7×sub-neg
6×distribute-rgt-in distribute-lft-in add-log-exp difference-of-squares
4×sqrt-prod distribute-lft-out--
3×*-commutative
2×times-frac diff-cos unswap-sqr
1×diff-log
Counts
4 → 133
Calls
4 calls:
25.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
22.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
18.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms
(- (cos x) (cos y))

series568.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
151.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
102.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
64.0ms
(- (cos x) (cos y))

simplify146.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
08482481
149312282
250022282

prune945.0ms

Filtered
145 candidates to 101 candidates (69.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1423145
Fresh369
Picked101
Done000
Total1469155

Merged error: 0.3b

Counts
155 → 9

localize44.0ms

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)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.6b
(- (cos x) (cos y))
3.8b
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
15×*-un-lft-identity
12×pow1 associate-*r*
11×add-exp-log add-cbrt-cube
10×associate-*r/
9×add-cube-cbrt
8×flip3-- flip--
7×sub-neg log-prod associate-*l* add-log-exp
6×distribute-rgt-in distribute-lft-in
5×difference-of-squares
4×frac-times exp-sum pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×log-pow distribute-lft-out--
2×times-frac associate-*l/ *-commutative unswap-sqr
1×exp-prod exp-to-pow diff-log rem-log-exp diff-cos
Counts
4 → 97
Calls
4 calls:
19.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
12.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms
(- (cos x) (cos y))
5.0ms
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

series574.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
101.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
66.0ms
(- (cos x) (cos y))
249.0ms
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

simplify88.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
05871452
127001311
250031311

prune748.0ms

Filtered
109 candidates to 74 candidates (67.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1045109
Fresh358
Picked101
Done000
Total10810118

Merged error: 0.2b

Counts
118 → 10

localize53.0ms

Local error

Found 4 expressions with local error:

1.6b
(- (cos x) (cos y))
3.8b
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))
3.8b
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))
3.8b
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
21×log-prod
12×exp-sum
9×add-sqr-sqrt *-un-lft-identity log-pow add-log-exp
7×pow1 add-cube-cbrt sub-neg
6×distribute-rgt-in distribute-lft-in
4×add-exp-log add-cbrt-cube
3×exp-prod exp-to-pow rem-log-exp
1×flip3-- diff-log flip-- diff-cos distribute-lft-out-- difference-of-squares
Counts
4 → 69
Calls
4 calls:
9.0ms
(- (cos x) (cos y))
5.0ms
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))
5.0ms
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))
5.0ms
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

series825.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(- (cos x) (cos y))
249.0ms
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))
259.0ms
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))
250.0ms
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

simplify110.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
02001477
16171308
231461307
350021307

prune619.0ms

Filtered
81 candidates to 58 candidates (71.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New79281
Fresh099
Picked101
Done000
Total801191

Merged error: 0.2b

Counts
91 → 11

regimes240.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056114
156114

end0.0ms

sample5.6s

Algorithm
intervals
Results
3.1s2734×body1280valid
1.3s1792×body640valid
391.0ms2408×body80valid
349.0ms709×body320valid
127.0ms357×body160valid