Details

Time bar (total: 36.6s)

sample390.0ms

Algorithm
intervals
Results
227.0ms81×body1280valid
70.0ms63×body640valid
23.0ms27×body320valid
17.0ms73×body80valid
6.0ms12×body160valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5000
43141
3655
2181
174
032

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize85.0ms

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

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
16×*-un-lft-identity
12×associate-*r*
11×pow1 add-cbrt-cube add-exp-log
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:
113.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
42.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
12.0ms
(- 3.0 (sqrt 5.0))
10.0ms
(- (cos x) (cos y))

series450.0ms

Counts
4 → 10
Calls
4 calls:
180.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
172.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
98.0ms
(- (cos x) (cos y))

simplify1.8s

Counts
104 → 104
Iterations
IterNodes
done5000
22910
1652
0241

prune882.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize116.0ms

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)))
0.5b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.0b
(- (cos x) (cos y))

rewrite559.0ms

Algorithm
rewrite-expression-head
Rules
36×associate-*r/
35×flip3-- flip--
32×frac-times
27×add-sqr-sqrt
20×pow1 add-cbrt-cube add-exp-log
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:
354.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
120.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
68.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms
(- (cos x) (cos y))

series663.0ms

Counts
4 → 12
Calls
4 calls:
279.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
185.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
123.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
76.0ms
(- (cos x) (cos y))

simplify1.4s

Counts
145 → 145
Iterations
IterNodes
done5000
1892
0272

prune1.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize523.0ms

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)))
2.0b
(- (cos x) (cos y))
2.8b
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
15×*-un-lft-identity
12×pow1 associate-*r*
11×add-cbrt-cube add-exp-log
10×associate-*r/
9×add-cube-cbrt
8×flip3-- flip--
7×log-prod sub-neg 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:
98.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
41.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
12.0ms
(- (cos x) (cos y))
13.0ms
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

series665.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
121.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
69.0ms
(- (cos x) (cos y))
278.0ms
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

simplify1.8s

Counts
109 → 109
Iterations
IterNodes
done5000
23058
1630
0235

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize146.0ms

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)))
0.5b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.0b
(- (cos x) (cos y))

rewrite571.0ms

Algorithm
rewrite-expression-head
Rules
36×associate-*r/
35×flip3-- flip--
32×frac-times
27×add-sqr-sqrt
20×pow1 add-cbrt-cube add-exp-log
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:
370.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
131.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
53.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
12.0ms
(- (cos x) (cos y))

series887.0ms

Counts
4 → 12
Calls
4 calls:
413.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
263.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
129.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
82.0ms
(- (cos x) (cos y))

simplify1.7s

Counts
145 → 145
Iterations
IterNodes
done5000
1892
0272

prune1.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

regimes374.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify19.0ms

Iterations
IterNodes
done45
145
035

end0.0ms

sample16.4s

Algorithm
intervals
Results
8.3s2750×body1280valid
4.0s1864×body640valid
1.8s2301×body80valid
1.4s745×body320valid
276.0ms340×body160valid