Details

Time bar (total: 32.5s)

sample310.0ms

Algorithm
intervals
Results
122.0ms73×body1280valid
117.0ms75×body640valid
21.0ms27×body320valid
16.0ms74×body80valid
4.0ms7×body160valid

simplify814.0ms

Counts
1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize121.0ms

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))
1.5b
(- (cos x) (cos y))

rewrite260.0ms

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:
138.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
96.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
8.0ms
(- 3.0 (sqrt 5.0))
13.0ms
(- (cos x) (cos y))

series356.0ms

Counts
4 → 10
Calls
4 calls:
172.0ms
(* (* (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))
75.0ms
(- (cos x) (cos y))

simplify1.1s

Counts
104 → 104

prune801.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize68.0ms

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)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.5b
(- (cos x) (cos y))

rewrite294.0ms

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:
95.0ms
(/ (+ 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)))))
129.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
57.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
8.0ms
(- (cos x) (cos y))

series2.8s

Counts
4 → 12
Calls
4 calls:
2.4s
(/ (+ 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)))))
195.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
123.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
80.0ms
(- (cos x) (cos y))

simplify1.8s

Counts
118 → 118

prune929.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize85.0ms

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)))
1.5b
(- (cos x) (cos y))
2.5b
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
15×*-un-lft-identity
12×pow1 associate-*r*
11×add-exp-log add-cbrt-cube
10×associate-*r/
9×add-cube-cbrt
8×flip3-- flip--
7×sub-neg log-prod associate-*l* add-log-exp
6×distribute-rgt-in distribute-lft-in
5×difference-of-squares
4×frac-times exp-sum pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×log-pow distribute-lft-out--
2×times-frac associate-*l/ *-commutative unswap-sqr
1×exp-prod exp-to-pow diff-log rem-log-exp diff-cos
Counts
4 → 97
Calls
4 calls:
148.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
77.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
8.0ms
(- (cos x) (cos y))
9.0ms
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

series540.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
114.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
77.0ms
(- (cos x) (cos y))
183.0ms
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

simplify1.1s

Counts
109 → 109

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (- (sin x) (/ (sin y) 16.0)))
0.7b
(cbrt (- (sin x) (/ (sin y) 16.0)))
0.7b
(cbrt (- (sin x) (/ (sin y) 16.0)))
1.5b
(- (cos x) (cos y))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×cbrt-prod
15×*-un-lft-identity
7×add-cube-cbrt difference-of-squares
6×cbrt-div add-log-exp
4×pow1 add-exp-log flip3-- add-cbrt-cube flip-- distribute-lft-out--
3×times-frac pow1/3
1×sub-neg diff-log diff-cos
Counts
4 → 63
Calls
4 calls:
10.0ms
(cbrt (- (sin x) (/ (sin y) 16.0)))
10.0ms
(cbrt (- (sin x) (/ (sin y) 16.0)))
21.0ms
(cbrt (- (sin x) (/ (sin y) 16.0)))
13.0ms
(- (cos x) (cos y))

series723.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(cbrt (- (sin x) (/ (sin y) 16.0)))
211.0ms
(cbrt (- (sin x) (/ (sin y) 16.0)))
208.0ms
(cbrt (- (sin x) (/ (sin y) 16.0)))
82.0ms
(- (cos x) (cos y))

simplify2.0s

Counts
75 → 75

prune901.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes287.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.6s

end0.0ms

sample14.1s

Algorithm
intervals
Results
8.4s2732×body1280valid
3.4s1842×body640valid
888.0ms783×body320valid
745.0ms2307×body80valid
317.0ms336×body160valid