Details

Time bar (total: 35.6s)

sample392.0ms

Algorithm
intervals
Results
228.0ms81×body1280valid
77.0ms63×body640valid
24.0ms27×body320valid
19.0ms73×body80valid
7.0ms12×body160valid

simplify1.1s

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

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize84.0ms

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))

rewrite227.0ms

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:
137.0ms
(* (* (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
(- 3.0 (sqrt 5.0))
9.0ms
(- (cos x) (cos y))

series390.0ms

Counts
4 → 10
Calls
4 calls:
191.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
130.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
69.0ms
(- (cos x) (cos y))

simplify1.2s

Counts
104 → 104
Iterations
IterNodes
done5000
22910
1652
0241

prune940.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize112.0ms

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))

rewrite533.0ms

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:
342.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
111.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
58.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
16.0ms
(- (cos x) (cos y))

series607.0ms

Counts
4 → 12
Calls
4 calls:
262.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
165.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
110.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
69.0ms
(- (cos x) (cos y))

simplify445.0ms

Counts
145 → 145
Iterations
IterNodes
done5000
1892
0272

prune2.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize160.0ms

Local error

Found 4 expressions with local error:

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

rewrite675.0ms

Algorithm
rewrite-expression-head
Rules
164×associate-*r/
150×frac-times
97×flip3-- flip--
54×associate-*l/ frac-sub sin-mult
53×associate-/l/
32×distribute-rgt-in distribute-lft-in add-cbrt-cube add-exp-log
18×pow1
15×*-un-lft-identity prod-exp cbrt-unprod
13×sub-neg
11×add-sqr-sqrt
10×associate-*l*
9×pow-prod-down add-cube-cbrt
6×add-log-exp
4×cbrt-undiv associate-/r* times-frac div-exp
3×sqrt-prod
2×associate-*r* associate-/r/ *-commutative distribute-lft-out difference-of-squares
1×clear-num frac-2neg flip3-+ diff-log flip-+ div-inv diff-cos associate-/l* distribute-lft-out--
Counts
4 → 225
Calls
4 calls:
290.0ms
(/ (* (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0))) (* (sqrt 2.0) (* (- (cos x) (cos y)) (- (sin y) (/ (sin x) 16.0))))) (+ (sin x) (/ (sin y) 16.0)))
264.0ms
(* (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0))) (* (sqrt 2.0) (* (- (cos x) (cos y)) (- (sin y) (/ (sin x) 16.0)))))
92.0ms
(* (sqrt 2.0) (* (- (cos x) (cos y)) (- (sin y) (/ (sin x) 16.0))))
10.0ms
(- (cos x) (cos y))

series1.1s

Counts
4 → 12
Calls
4 calls:
496.0ms
(/ (* (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0))) (* (sqrt 2.0) (* (- (cos x) (cos y)) (- (sin y) (/ (sin x) 16.0))))) (+ (sin x) (/ (sin y) 16.0)))
371.0ms
(* (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0))) (* (sqrt 2.0) (* (- (cos x) (cos y)) (- (sin y) (/ (sin x) 16.0)))))
160.0ms
(* (sqrt 2.0) (* (- (cos x) (cos y)) (- (sin y) (/ (sin x) 16.0))))
61.0ms
(- (cos x) (cos y))

simplify405.0ms

Counts
237 → 237
Iterations
IterNodes
done5000
11319
0396

prune4.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize203.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (- (pow (sin x) 2) (/ (/ (pow (sin y) 2) 16.0) 16.0)) (* (sqrt 2.0) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))))
0.4b
(* (sqrt 2.0) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))))
2.0b
(- (cos x) (cos y))
2.8b
(log (exp (/ (* (- (pow (sin x) 2) (/ (/ (pow (sin y) 2) 16.0) 16.0)) (* (sqrt 2.0) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))))) (+ (sin x) (/ (sin y) 16.0)))))

rewrite810.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
48×associate-*r/
40×times-frac
34×flip3-- associate-*l* flip--
32×distribute-rgt-in frac-times distribute-lft-in
25×difference-of-squares
19×pow1
18×add-cbrt-cube add-exp-log
16×*-un-lft-identity
13×sub-neg
11×log-pow
10×exp-prod unpow-prod-down associate-*l/ add-cube-cbrt unpow2 sqr-pow
9×pow-prod-down prod-exp cbrt-unprod
6×add-log-exp
3×log-prod sqrt-prod
2×associate-*r* associate-/r/ *-commutative distribute-lft-out--
1×flip3-+ diff-log rem-log-exp flip-+ div-inv diff-cos distribute-lft-out
Counts
4 → 162
Calls
4 calls:
597.0ms
(* (- (pow (sin x) 2) (/ (/ (pow (sin y) 2) 16.0) 16.0)) (* (sqrt 2.0) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))))
98.0ms
(* (sqrt 2.0) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))))
12.0ms
(- (cos x) (cos y))
89.0ms
(log (exp (/ (* (- (pow (sin x) 2) (/ (/ (pow (sin y) 2) 16.0) 16.0)) (* (sqrt 2.0) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))))) (+ (sin x) (/ (sin y) 16.0)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
404.0ms
(* (- (pow (sin x) 2) (/ (/ (pow (sin y) 2) 16.0) 16.0)) (* (sqrt 2.0) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))))
215.0ms
(* (sqrt 2.0) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))))
81.0ms
(- (cos x) (cos y))
445.0ms
(log (exp (/ (* (- (pow (sin x) 2) (/ (/ (pow (sin y) 2) 16.0) 16.0)) (* (sqrt 2.0) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))))) (+ (sin x) (/ (sin y) 16.0)))))

simplify504.0ms

Counts
174 → 174
Iterations
IterNodes
done5001
11026
0367

prune2.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

regimes458.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify19.0ms

Iterations
IterNodes
done90
390
289
177
053

end0.0ms

sample14.8s

Algorithm
intervals
Results
8.2s2750×body1280valid
4.1s1864×body640valid
919.0ms2301×body80valid
879.0ms745×body320valid
334.0ms340×body160valid