Details

Time bar (total: 34.5s)

sample315.0ms

Algorithm
intervals
Results
174.0ms82×body1280valid
69.0ms66×body640valid
31.0ms85×body80valid
10.0ms13×body320valid
5.0ms10×body160valid

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done5000
42752
3622
2177
174
032

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

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)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.6b
(- (cos x) (cos y))

rewrite209.0ms

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 insert-posit16 distribute-lft-out--
2×times-frac diff-log associate-*l/ *-commutative unswap-sqr
1×diff-cos
Counts
4 → 98
Calls
4 calls:
125.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
66.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
6.0ms
(- 3.0 (sqrt 5.0))
7.0ms
(- (cos x) (cos y))

series401.0ms

Counts
4 → 10
Calls
4 calls:
174.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
146.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
80.0ms
(- (cos x) (cos y))

simplify1.6s

Counts
108 → 108
Iterations
IterNodes
done5002
22113
1657
0245

prune887.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize79.0ms

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)))
1.6b
(- (cos x) (cos y))

rewrite519.0ms

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 insert-posit16 distribute-lft-out--
3×*-commutative
2×times-frac diff-cos unswap-sqr
1×diff-log
Counts
4 → 137
Calls
4 calls:
357.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
96.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
50.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
8.0ms
(- (cos x) (cos y))

series647.0ms

Counts
4 → 12
Calls
4 calls:
256.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
169.0ms
(* (* (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)))
91.0ms
(- (cos x) (cos y))

simplify2.4s

Counts
149 → 149
Iterations
IterNodes
done5001
24018
1894
0276

prune1.6s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize117.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (exp (* (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)))
1.6b
(- (cos x) (cos y))
5.1b
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
16×*-un-lft-identity
12×associate-*r* associate-*l*
10×pow1 add-cube-cbrt
8×add-cbrt-cube add-exp-log add-log-exp
7×log-prod sub-neg
6×distribute-rgt-in distribute-lft-in log-pow
5×difference-of-squares
4×exp-sum associate-*r/ sqrt-prod insert-posit16
3×flip3-- flip-- distribute-lft-out-- unswap-sqr
2×exp-prod times-frac exp-to-pow pow-prod-down prod-exp *-commutative cbrt-unprod
1×diff-log rem-log-exp diff-cos
Counts
4 → 98
Calls
4 calls:
65.0ms
(* (log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (- (sin y) (/ (sin x) 16.0)))
70.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
14.0ms
(- (cos x) (cos y))
11.0ms
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

series494.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(* (log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (- (sin y) (/ (sin x) 16.0)))
119.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
82.0ms
(- (cos x) (cos y))
111.0ms
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

simplify1.9s

Counts
110 → 110
Iterations
IterNodes
done5000
21471
1479
0212

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize133.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.6b
(- (cos x) (cos y))
1.6b
(- (cos x) (cos y))
1.6b
(- (cos x) (cos y))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
15×*-un-lft-identity
10×add-log-exp
7×add-cube-cbrt
6×pow1 add-cbrt-cube associate-*r* associate-*l* add-exp-log
5×sub-neg difference-of-squares
4×flip3-- sqrt-prod insert-posit16 flip-- distribute-lft-out--
3×diff-log diff-cos
2×distribute-rgt-in distribute-lft-in associate-*r/ unswap-sqr
1×times-frac pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 80
Calls
4 calls:
76.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
15.0ms
(- (cos x) (cos y))
15.0ms
(- (cos x) (cos y))
14.0ms
(- (cos x) (cos y))

series364.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
61.0ms
(- (cos x) (cos y))
79.0ms
(- (cos x) (cos y))
88.0ms
(- (cos x) (cos y))

simplify2.1s

Counts
92 → 92
Iterations
IterNodes
done5005
32599
2757
1283
0125

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

regimes337.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify18.0ms

Iterations
IterNodes
done49
149
038

end0.0ms

sample15.3s

Algorithm
intervals
Results
8.5s2721×body1280valid
3.6s1888×body640valid
1.4s766×body320valid
1.3s2276×body80valid
364.0ms349×body160valid