Details

Time bar (total: 19.1s)

sample184.0ms

Algorithm
intervals
Results
91.0ms84×body1280valid
43.0ms54×body640valid
12.0ms26×body320valid
12.0ms83×body80valid
3.0ms9×body160valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
03250
17450
219247
369747
4290747
done500147

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (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))
2.3b
(- (cos x) (cos y))

rewrite225.0ms

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-exp-log add-cbrt-cube
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 log1p-expm1-u distribute-lft-out--
2×diff-log associate-*l/ *-commutative unswap-sqr
1×diff-cos
Counts
4 → 291
Calls
4 calls:
118.0ms
(* (* (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)))
9.0ms
(- 3.0 (sqrt 5.0))
9.0ms
(- (cos x) (cos y))

series290.0ms

Counts
4 → 10
Calls
4 calls:
141.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
92.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
57.0ms
(- (cos x) (cos y))

simplify954.0ms

Counts
301 → 301
Iterations

Useful iterations: done (939.0ms)

IterNodesCost
073512255
1168210923
done50018176

prune977.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.3b
(- (cos x) (cos y))
3.9b
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
183×prod-diff
179×add-sqr-sqrt
170×*-un-lft-identity
164×add-cube-cbrt
109×times-frac
85×log-prod
82×distribute-rgt-in distribute-lft-in exp-sum
14×sqrt-prod
12×div-inv
9×add-log-exp
7×pow1
6×add-exp-log sub-neg fma-neg associate-*r* associate-*l* add-cbrt-cube
5×difference-of-squares
4×expm1-log1p-u log1p-expm1-u
3×flip3-- log-pow flip-- distribute-lft-out--
2×diff-log associate-*r/ unswap-sqr
1×exp-prod exp-to-pow rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod diff-cos
Counts
4 → 276
Calls
4 calls:
64.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms
(- 3.0 (sqrt 5.0))
9.0ms
(- (cos x) (cos y))
25.0ms
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

series254.0ms

Counts
4 → 10
Calls
4 calls:
94.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
61.0ms
(- (cos x) (cos y))
99.0ms
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

simplify1.7s

Counts
286 → 286
Iterations

Useful iterations: done (1.7s)

IterNodesCost
067610581
112448928
229136265
done50004891

prune866.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 16.0)
1.0b
(cbrt 16.0)
2.3b
(- (cos x) (cos y))
3.9b
(log (exp (+ (* (sqrt 2.0) (- (sin x) (/ (sin y) (pow (cbrt 16.0) 3)))) (* (+ (- (/ (sin y) (pow (cbrt 16.0) 3))) (/ (sin y) (pow (cbrt 16.0) 3))) (sqrt 2.0)))))

rewrite286.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
15×add-cube-cbrt
9×prod-diff
6×cbrt-prod add-log-exp
5×pow1
4×add-exp-log expm1-log1p-u log-prod log-pow add-cbrt-cube log1p-expm1-u
3×exp-prod fma-neg
2×pow1/3
1×sub-neg flip3-- diff-log rem-log-exp exp-sum flip-- diff-cos distribute-lft-out-- difference-of-squares
Counts
4 → 73
Calls
4 calls:
1.0ms
(cbrt 16.0)
1.0ms
(cbrt 16.0)
9.0ms
(- (cos x) (cos y))
274.0ms
(log (exp (+ (* (sqrt 2.0) (- (sin x) (/ (sin y) (pow (cbrt 16.0) 3)))) (* (+ (- (/ (sin y) (pow (cbrt 16.0) 3))) (/ (sin y) (pow (cbrt 16.0) 3))) (sqrt 2.0)))))

series194.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(cbrt 16.0)
0.0ms
(cbrt 16.0)
61.0ms
(- (cos x) (cos y))
134.0ms
(log (exp (+ (* (sqrt 2.0) (- (sin x) (/ (sin y) (pow (cbrt 16.0) 3)))) (* (+ (- (/ (sin y) (pow (cbrt 16.0) 3))) (/ (sin y) (pow (cbrt 16.0) 3))) (sqrt 2.0)))))

simplify1.9s

Counts
81 → 81
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01681613
13351190
2769973
32749743
done5000688

prune677.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (fma (* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) (* (fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0)) 3.0))
0.4b
(* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0))
1.0b
(- 3.0 (sqrt 5.0))
2.3b
(- (cos x) (cos y))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
35×*-un-lft-identity
29×add-cube-cbrt
27×prod-diff
14×sqrt-prod
11×add-exp-log add-cbrt-cube
8×add-log-exp
6×pow1 fma-neg associate-*r* associate-*l*
5×difference-of-squares
4×expm1-log1p-u times-frac log1p-expm1-u
3×flip3-- flip-- associate-/l* distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv diff-cos
Counts
4 → 119
Calls
4 calls:
9.0ms
(/ (fma (* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) (* (fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0)) 3.0))
55.0ms
(* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0))
9.0ms
(- 3.0 (sqrt 5.0))
12.0ms
(- (cos x) (cos y))

series1.2s

Counts
4 → 10
Calls
4 calls:
1.0s
(/ (fma (* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) (* (fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0)) 3.0))
96.0ms
(* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0))
0.0ms
(- 3.0 (sqrt 5.0))
56.0ms
(- (cos x) (cos y))

simplify1.1s

Counts
129 → 129
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03403382
17883013
223572511
done50022389

prune837.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes231.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02947
13147
done3147

end0.0ms

sample5.5s

Algorithm
intervals
Results
3.1s2719×body1280valid
1.3s1803×body640valid
377.0ms759×body320valid
343.0ms2379×body80valid
107.0ms340×body160valid