Details

Time bar (total: 40.3s)

sample318.0ms

Algorithm
intervals
Results
138.0ms82×body1280valid
120.0ms66×body640valid
19.0ms85×body80valid
11.0ms13×body320valid
5.0ms10×body160valid

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
done5004
43022
3657
2188
174
032

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize79.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (- (sin x) (/ (sin y) 16.0)) (* (- (cos x) (cos y)) (sqrt 2.0)))
0.3b
(* (- (cos x) (cos y)) (sqrt 2.0))
1.0b
(- 3.0 (sqrt 5.0))
1.6b
(- (cos x) (cos y))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
36×*-un-lft-identity
28×add-cube-cbrt
27×prod-diff
14×sqrt-prod
12×associate-*l*
11×pow1 add-cbrt-cube add-exp-log
10×associate-*l/
9×flip3-- flip--
8×add-log-exp
7×associate-*r*
6×fma-neg difference-of-squares
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u distribute-lft-out--
2×sub-neg diff-log associate-*r/ *-commutative diff-cos unswap-sqr
1×times-frac
Counts
4 → 131
Calls
4 calls:
122.0ms
(* (- (sin x) (/ (sin y) 16.0)) (* (- (cos x) (cos y)) (sqrt 2.0)))
40.0ms
(* (- (cos x) (cos y)) (sqrt 2.0))
14.0ms
(- 3.0 (sqrt 5.0))
10.0ms
(- (cos x) (cos y))

series345.0ms

Counts
4 → 10
Calls
4 calls:
160.0ms
(* (- (sin x) (/ (sin y) 16.0)) (* (- (cos x) (cos y)) (sqrt 2.0)))
116.0ms
(* (- (cos x) (cos y)) (sqrt 2.0))
0.0ms
(- 3.0 (sqrt 5.0))
68.0ms
(- (cos x) (cos y))

simplify2.4s

Counts
141 → 141
Iterations
IterNodes
done5000
21967
1654
0273

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize100.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (fma (* (- (sin x) (/ (sin y) 16.0)) (* (- (cos x) (cos y)) (sqrt 2.0))) (- (sin y) (/ (sin x) 16.0)) 2.0) (* (fma (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0) (cos y) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0)) 3.0))
0.3b
(* (- (sin x) (/ (sin y) 16.0)) (* (- (cos x) (cos y)) (sqrt 2.0)))
0.3b
(* (- (cos x) (cos y)) (sqrt 2.0))
1.6b
(- (cos x) (cos y))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
23×*-un-lft-identity
17×add-cube-cbrt
16×add-cbrt-cube add-exp-log
12×associate-*l*
11×pow1
10×associate-*l/
9×prod-diff
8×flip3-- flip--
7×associate-*r*
6×add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u frac-times times-frac pow-prod-down sqrt-prod insert-posit16 log1p-expm1-u difference-of-squares
3×fma-neg associate-/l* distribute-lft-out--
2×cbrt-undiv div-exp associate-*r/ *-commutative diff-cos unswap-sqr
1×clear-num associate-/r* sub-neg frac-2neg diff-log div-inv
Counts
4 → 116
Calls
4 calls:
9.0ms
(/ (fma (* (- (sin x) (/ (sin y) 16.0)) (* (- (cos x) (cos y)) (sqrt 2.0))) (- (sin y) (/ (sin x) 16.0)) 2.0) (* (fma (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0) (cos y) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0)) 3.0))
122.0ms
(* (- (sin x) (/ (sin y) 16.0)) (* (- (cos x) (cos y)) (sqrt 2.0)))
31.0ms
(* (- (cos x) (cos y)) (sqrt 2.0))
15.0ms
(- (cos x) (cos y))

series2.4s

Counts
4 → 12
Calls
4 calls:
2.0s
(/ (fma (* (- (sin x) (/ (sin y) 16.0)) (* (- (cos x) (cos y)) (sqrt 2.0))) (- (sin y) (/ (sin x) 16.0)) 2.0) (* (fma (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0) (cos y) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0)) 3.0))
150.0ms
(* (- (sin x) (/ (sin y) 16.0)) (* (- (cos x) (cos y)) (sqrt 2.0)))
146.0ms
(* (- (cos x) (cos y)) (sqrt 2.0))
70.0ms
(- (cos x) (cos y))

simplify2.8s

Counts
128 → 128
Iterations
IterNodes
done5000
23057
1875
0331

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize114.0ms

Local error

Found 4 expressions with local error:

1.0b
(- 3.0 (sqrt 5.0))
1.6b
(- (cos x) (cos y))
1.6b
(- (cos x) (cos y))
1.6b
(- (cos x) (cos y))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
46×*-un-lft-identity
45×prod-diff
38×add-cube-cbrt
12×fma-neg add-log-exp
10×sqrt-prod
5×difference-of-squares
4×expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log insert-posit16 log1p-expm1-u flip-- distribute-lft-out--
3×diff-cos
Counts
4 → 129
Calls
4 calls:
13.0ms
(- 3.0 (sqrt 5.0))
16.0ms
(- (cos x) (cos y))
15.0ms
(- (cos x) (cos y))
15.0ms
(- (cos x) (cos y))

series228.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(- 3.0 (sqrt 5.0))
84.0ms
(- (cos x) (cos y))
78.0ms
(- (cos x) (cos y))
66.0ms
(- (cos x) (cos y))

simplify2.5s

Counts
139 → 139
Iterations
IterNodes
done5000
33156
2894
1384
0176

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize126.0ms

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))

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
184×add-sqr-sqrt
183×prod-diff
172×*-un-lft-identity
164×add-cube-cbrt
110×times-frac
82×distribute-rgt-in distribute-lft-in
14×sqrt-prod
12×associate-*r* div-inv
11×pow1 add-cbrt-cube add-exp-log
10×associate-*r/
9×flip3-- flip--
8×add-log-exp
7×associate-*l* difference-of-squares
6×sub-neg fma-neg
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u distribute-lft-out--
2×diff-log associate-*l/ *-commutative unswap-sqr
1×diff-cos
Counts
4 → 295
Calls
4 calls:
147.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
60.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms
(- 3.0 (sqrt 5.0))
9.0ms
(- (cos x) (cos y))

series419.0ms

Counts
4 → 10
Calls
4 calls:
212.0ms
(* (* (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)))
0.0ms
(- 3.0 (sqrt 5.0))
98.0ms
(- (cos x) (cos y))

simplify2.2s

Counts
305 → 305
Iterations
IterNodes
done5001
12007
0742

prune3.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes449.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify14.0ms

Iterations
IterNodes
done38
138
033

end0.0ms

sample14.9s

Algorithm
intervals
Results
7.7s2721×body1280valid
3.5s1888×body640valid
1.7s2276×body80valid
1.3s766×body320valid
586.0ms349×body160valid