Details

Time bar (total: 23.8s)

sample347.0ms

Algorithm
intervals
Results
226.0ms90×body1280valid
52.0ms51×body640valid
17.0ms78×body80valid
16.0ms21×body320valid
8.0ms16×body160valid

simplify54.0ms

Counts
1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize56.0ms

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))
2.2b
(- (cos x) (cos y))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
16×*-un-lft-identity
12×associate-*r*
11×pow1 add-exp-log add-cbrt-cube
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:
110.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
56.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms
(- 3.0 (sqrt 5.0))
34.0ms
(- (cos x) (cos y))

series358.0ms

Counts
4 → 10
Calls
4 calls:
190.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
108.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
60.0ms
(- (cos x) (cos y))

simplify70.0ms

Counts
104 → 104

prune767.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (+ (* 3.0 3.0) (- 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (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)))
2.2b
(- (cos x) (cos y))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
14×associate-*r/
12×associate-*r*
11×pow1
10×add-cube-cbrt
8×flip3-- flip--
7×associate-*l*
6×add-log-exp
5×sub-neg times-frac prod-exp cbrt-unprod difference-of-squares
4×distribute-rgt-in frac-times distribute-lft-in pow-prod-down associate-*l/ sqrt-prod associate-/r/
3×flip3-+ flip-+ associate-/l* distribute-lft-out--
2×cbrt-undiv div-exp frac-add *-commutative associate-/l/ unswap-sqr
1×frac-2neg diff-log clear-num associate-/r* div-inv diff-cos
Counts
4 → 106
Calls
4 calls:
73.0ms
(/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (+ (* 3.0 3.0) (- 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
108.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
62.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
8.0ms
(- (cos x) (cos y))

series2.7s

Counts
4 → 12
Calls
4 calls:
2.3s
(/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (+ (* 3.0 3.0) (- 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
194.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
139.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
82.0ms
(- (cos x) (cos y))

simplify59.0ms

Counts
118 → 118

prune922.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.2b
(- (cos x) (cos y))
2.2b
(- (cos x) (cos y))
2.2b
(- (cos x) (cos y))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
15×*-un-lft-identity
10×add-log-exp
7×add-cube-cbrt
6×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×sub-neg difference-of-squares
4×flip3-- sqrt-prod 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 → 76
Calls
4 calls:
83.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
12.0ms
(- (cos x) (cos y))
12.0ms
(- (cos x) (cos y))
12.0ms
(- (cos x) (cos y))

series333.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
69.0ms
(- (cos x) (cos y))
85.0ms
(- (cos x) (cos y))
78.0ms
(- (cos x) (cos y))

simplify77.0ms

Counts
88 → 88

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- (sin y) (/ (sin x) 16.0)))
0.6b
(cbrt (- (sin y) (/ (sin x) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.2b
(- (cos x) (cos y))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
14×*-un-lft-identity
12×cbrt-prod
8×add-log-exp
7×difference-of-squares
6×add-cube-cbrt
4×pow1 add-exp-log cbrt-div flip3-- add-cbrt-cube flip-- distribute-lft-out--
2×sub-neg times-frac pow1/3 diff-log
1×sqrt-prod diff-cos
Counts
4 → 62
Calls
4 calls:
13.0ms
(cbrt (- (sin y) (/ (sin x) 16.0)))
20.0ms
(cbrt (- (sin y) (/ (sin x) 16.0)))
26.0ms
(- 3.0 (sqrt 5.0))
15.0ms
(- (cos x) (cos y))

series464.0ms

Counts
4 → 10
Calls
4 calls:
201.0ms
(cbrt (- (sin y) (/ (sin x) 16.0)))
198.0ms
(cbrt (- (sin y) (/ (sin x) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
65.0ms
(- (cos x) (cos y))

simplify107.0ms

Counts
72 → 72

prune657.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes249.0ms

Accuracy

14.6% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify121.0ms

end0.0ms

sample14.2s

Algorithm
intervals
Results
7.4s2747×body1280valid
3.5s1854×body640valid
1.4s2316×body80valid
1.2s745×body320valid
280.0ms338×body160valid