Details

Time bar (total: 12.4s)

sample196.0ms

Algorithm
intervals
Results
110.0ms94×body1280valid
38.0ms56×body640valid
11.0ms23×body320valid
10.0ms75×body80valid
3.0ms8×body160valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07430
118230
265730
3272730
4500130

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize41.0ms

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))
2.0b
(- (cos x) (cos y))

rewrite101.0ms

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:
60.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
30.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- 3.0 (sqrt 5.0))
3.0ms
(- (cos x) (cos y))

series305.0ms

Counts
4 → 10
Calls
4 calls:
146.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
97.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
62.0ms
(- (cos x) (cos y))

simplify75.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06221094
126431002
250031002

prune570.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize37.0ms

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)))
2.0b
(- (cos x) (cos y))

rewrite271.0ms

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:
174.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
56.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
32.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
3.0ms
(- (cos x) (cos y))

series562.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
155.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
99.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
59.0ms
(- (cos x) (cos y))

simplify147.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
08482481
149312282
250022282

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

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)))
2.0b
(- (cos x) (cos y))
3.4b
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

rewrite103.0ms

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:
59.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
34.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
3.0ms
(- (cos x) (cos y))
3.0ms
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

series474.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
104.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
65.0ms
(- (cos x) (cos y))
153.0ms
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

simplify83.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05581325
124441204
250031204

prune759.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

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)))
2.0b
(- (cos x) (cos y))
3.5b
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

rewrite102.0ms

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:
56.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
34.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
3.0ms
(- (cos x) (cos y))
4.0ms
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

series568.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (* (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))
248.0ms
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

simplify82.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
05871452
127001311
250031311

prune703.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

regimes152.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04936
14936

end0.0ms

sample5.9s

Algorithm
intervals
Results
3.4s2786×body1280valid
1.3s1776×body640valid
382.0ms749×body320valid
364.0ms2349×body80valid
121.0ms340×body160valid