Details

Time bar (total: 35.4s)

sample413.0ms

Algorithm
intervals
Results
248.0ms88×body1280valid
83.0ms61×body640valid
19.0ms72×body80valid
19.0ms23×body320valid
7.0ms12×body160valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5000
43399
3699
2192
174
032

prune49.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize139.0ms

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 (sqrt 5.0)) 2.0) (cos y)))))
0.5b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.7b
(- (cos x) (cos y))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
112×add-sqr-sqrt
105×prod-diff
103×*-un-lft-identity
97×add-cube-cbrt
58×times-frac
41×distribute-rgt-in distribute-lft-in
14×sqrt-prod
11×add-cbrt-cube add-exp-log
8×add-log-exp
7×div-inv
6×pow1 fma-neg associate-*r* associate-*l* associate-*r/
5×difference-of-squares
4×expm1-log1p-u sub-neg associate-/r/ log1p-expm1-u
3×flip3-+ flip3-- flip-+ flip-- associate-/l* distribute-lft-out--
2×cbrt-undiv diff-log div-exp associate-*l/ frac-add prod-exp cbrt-unprod unswap-sqr associate-/l/
1×clear-num associate-/r* frac-2neg pow-prod-down *-commutative diff-cos
Counts
4 → 207
Calls
4 calls:
93.0ms
(/ (+ 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 (sqrt 5.0)) 2.0) (cos y)))))
74.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
13.0ms
(- 3.0 (sqrt 5.0))
21.0ms
(- (cos x) (cos y))

series2.0s

Counts
4 → 10
Calls
4 calls:
1.8s
(/ (+ 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 (sqrt 5.0)) 2.0) (cos y)))))
124.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
82.0ms
(- (cos x) (cos y))

simplify1.8s

Counts
217 → 217
Iterations
IterNodes
done5000
11610
0615

prune2.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize162.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1 (* (cbrt 16.0) (cbrt 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.7b
(- (cos x) (cos y))
59.7b
(fma (- (/ (sin y) (cbrt 16.0))) (/ 1 (* (cbrt 16.0) (cbrt 16.0))) (* (/ (sin y) (cbrt 16.0)) (/ 1 (* (cbrt 16.0) (cbrt 16.0)))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
30×*-un-lft-identity
27×prod-diff
26×add-cube-cbrt
15×add-exp-log
12×pow1
10×sqrt-prod
9×pow-flip
8×add-log-exp
7×add-cbrt-cube
6×fma-neg pow1/3
4×expm1-log1p-u div-exp log1p-expm1-u
3×times-frac prod-exp associate-/l* difference-of-squares
2×cbrt-undiv rec-exp sub-neg flip3-- diff-log 1-exp pow-prod-down pow-sqr pow-prod-up flip-- distribute-lft-out--
1×pow2 clear-num associate-/r* frac-2neg pow-plus cbrt-unprod fma-udef div-inv diff-cos inv-pow
Counts
4 → 114
Calls
4 calls:
12.0ms
(/ 1 (* (cbrt 16.0) (cbrt 16.0)))
8.0ms
(- 3.0 (sqrt 5.0))
9.0ms
(- (cos x) (cos y))
0.0ms
(fma (- (/ (sin y) (cbrt 16.0))) (/ 1 (* (cbrt 16.0) (cbrt 16.0))) (* (/ (sin y) (cbrt 16.0)) (/ 1 (* (cbrt 16.0) (cbrt 16.0)))))

series508.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(/ 1 (* (cbrt 16.0) (cbrt 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
96.0ms
(- (cos x) (cos y))
412.0ms
(fma (- (/ (sin y) (cbrt 16.0))) (/ 1 (* (cbrt 16.0) (cbrt 16.0))) (* (/ (sin y) (cbrt 16.0)) (/ 1 (* (cbrt 16.0) (cbrt 16.0)))))

simplify1.6s

Counts
122 → 122
Iterations
IterNodes
done5001
21946
1543
0241

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize165.0ms

Local error

Found 4 expressions with local error:

1.0b
(- 3.0 (sqrt 5.0))
1.7b
(- (cos x) (cos y))
1.7b
(- (cos x) (cos y))
1.7b
(- (cos x) (cos y))

rewrite31.0ms

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 log1p-expm1-u flip-- distribute-lft-out--
3×diff-cos
Counts
4 → 125
Calls
4 calls:
7.0ms
(- 3.0 (sqrt 5.0))
7.0ms
(- (cos x) (cos y))
7.0ms
(- (cos x) (cos y))
7.0ms
(- (cos x) (cos y))

series218.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(- 3.0 (sqrt 5.0))
83.0ms
(- (cos x) (cos y))
63.0ms
(- (cos x) (cos y))
72.0ms
(- (cos x) (cos y))

simplify1.8s

Counts
135 → 135
Iterations
IterNodes
done5000
21532
1395
0176

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize312.0ms

Local error

Found 4 expressions with local error:

1.7b
(- (cos x) (cos y))
1.7b
(- (cos x) (cos y))
1.7b
(- (cos x) (cos y))
61.9b
(fma (- (sqrt (cbrt 5.0))) (sqrt (* (cbrt 5.0) (cbrt 5.0))) (* (sqrt (cbrt 5.0)) (sqrt (* (cbrt 5.0) (cbrt 5.0)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt *-un-lft-identity
27×prod-diff
25×add-cube-cbrt
10×add-log-exp
9×fma-neg
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u
3×sub-neg flip3-- diff-log diff-cos flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 97
Calls
4 calls:
13.0ms
(- (cos x) (cos y))
13.0ms
(- (cos x) (cos y))
14.0ms
(- (cos x) (cos y))
1.0ms
(fma (- (sqrt (cbrt 5.0))) (sqrt (* (cbrt 5.0) (cbrt 5.0))) (* (sqrt (cbrt 5.0)) (sqrt (* (cbrt 5.0) (cbrt 5.0)))))

series208.0ms

Counts
4 → 10
Calls
4 calls:
70.0ms
(- (cos x) (cos y))
63.0ms
(- (cos x) (cos y))
75.0ms
(- (cos x) (cos y))
0.0ms
(fma (- (sqrt (cbrt 5.0))) (sqrt (* (cbrt 5.0) (cbrt 5.0))) (* (sqrt (cbrt 5.0)) (sqrt (* (cbrt 5.0) (cbrt 5.0)))))

simplify1.2s

Counts
107 → 107
Iterations
IterNodes
done5000
2679
1199
098

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes910.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
done39
139
035

end0.0ms

sample14.9s

Algorithm
intervals
Results
8.1s2697×body1280valid
4.2s1941×body640valid
760.0ms732×body320valid
724.0ms2244×body80valid
664.0ms386×body160valid