Details

Time bar (total: 56.5s)

sample386.0ms

Algorithm
intervals
Results
220.0ms82×body1280valid
81.0ms66×body640valid
20.0ms85×body80valid
12.0ms13×body320valid
6.0ms10×body160valid

simplify5.3s

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

prune58.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize187.0ms

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))

rewrite327.0ms

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:
226.0ms
(* (- (sin x) (/ (sin y) 16.0)) (* (- (cos x) (cos y)) (sqrt 2.0)))
49.0ms
(* (- (cos x) (cos y)) (sqrt 2.0))
16.0ms
(- 3.0 (sqrt 5.0))
17.0ms
(- (cos x) (cos y))

series585.0ms

Counts
4 → 10
Calls
4 calls:
263.0ms
(* (- (sin x) (/ (sin y) 16.0)) (* (- (cos x) (cos y)) (sqrt 2.0)))
216.0ms
(* (- (cos x) (cos y)) (sqrt 2.0))
0.0ms
(- 3.0 (sqrt 5.0))
105.0ms
(- (cos x) (cos y))

simplify4.5s

Counts
141 → 141
Iterations
IterNodes
done5000
21979
1653
0273

prune2.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize198.0ms

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))

rewrite244.0ms

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:
11.0ms
(/ (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))
162.0ms
(* (- (sin x) (/ (sin y) 16.0)) (* (- (cos x) (cos y)) (sqrt 2.0)))
39.0ms
(* (- (cos x) (cos y)) (sqrt 2.0))
17.0ms
(- (cos x) (cos y))

series3.8s

Counts
4 → 12
Calls
4 calls:
3.2s
(/ (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))
310.0ms
(* (- (sin x) (/ (sin y) 16.0)) (* (- (cos x) (cos y)) (sqrt 2.0)))
192.0ms
(* (- (cos x) (cos y)) (sqrt 2.0))
95.0ms
(- (cos x) (cos y))

simplify5.5s

Counts
128 → 128
Iterations
IterNodes
done5001
23073
1877
0331

prune2.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize256.0ms

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))

rewrite67.0ms

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:
14.0ms
(- 3.0 (sqrt 5.0))
18.0ms
(- (cos x) (cos y))
13.0ms
(- (cos x) (cos y))
13.0ms
(- (cos x) (cos y))

series369.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(- 3.0 (sqrt 5.0))
114.0ms
(- (cos x) (cos y))
144.0ms
(- (cos x) (cos y))
111.0ms
(- (cos x) (cos y))

simplify5.0s

Counts
139 → 139
Iterations
IterNodes
done5002
32755
2846
1378
0176

prune2.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize364.0ms

Local error

Found 4 expressions with local error:

1.0b
(- 3.0 (sqrt 5.0))
1.5b
(fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (cos y)))
1.6b
(- (cos x) (cos y))
1.6b
(- (cos x) (cos y))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
37×*-un-lft-identity
36×prod-diff
31×add-cube-cbrt
10×sqrt-prod add-log-exp
9×fma-neg
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u difference-of-squares
3×sub-neg flip3-- diff-log flip-- distribute-lft-out--
2×diff-cos
1×fma-udef
Counts
4 → 110
Calls
4 calls:
12.0ms
(- 3.0 (sqrt 5.0))
2.0ms
(fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (cos y)))
26.0ms
(- (cos x) (cos y))
25.0ms
(- (cos x) (cos y))

series544.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(- 3.0 (sqrt 5.0))
324.0ms
(fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (cos y)))
103.0ms
(- (cos x) (cos y))
117.0ms
(- (cos x) (cos y))

simplify3.7s

Counts
120 → 120
Iterations
IterNodes
done5002
31906
2682
1338
0164

prune1.9s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify35.0ms

Iterations
IterNodes
done46
146
039

end0.0ms

sample15.8s

Algorithm
intervals
Results
9.0s2721×body1280valid
4.5s1888×body640valid
870.0ms766×body320valid
758.0ms2276×body80valid
226.0ms349×body160valid