Details

Time bar (total: 37.0s)

sample402.0ms

Algorithm
intervals
Results
185.0ms88×body1280valid
135.0ms61×body640valid
20.0ms23×body320valid
18.0ms72×body80valid
8.0ms12×body160valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
0321087
1741087
21921012
36991012
433991012
done50001012

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize75.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (fma (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)) 2.0) (* (fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0)) 3.0))
0.5b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.7b
(- (cos x) (cos y))

rewrite141.0ms

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*
5×difference-of-squares
4×expm1-log1p-u sub-neg log1p-expm1-u
3×flip3-- flip-- associate-/l* distribute-lft-out--
2×cbrt-undiv diff-log div-exp prod-exp associate-*r/ cbrt-unprod unswap-sqr
1×clear-num associate-/r* frac-2neg pow-prod-down *-commutative diff-cos
Counts
4 → 201
Calls
4 calls:
11.0ms
(/ (fma (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)) 2.0) (* (fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0)) 3.0))
88.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
11.0ms
(- 3.0 (sqrt 5.0))
11.0ms
(- (cos x) (cos y))

series1.6s

Counts
4 → 10
Calls
4 calls:
1.4s
(/ (fma (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)) 2.0) (* (fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0)) 3.0))
116.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
70.0ms
(- (cos x) (cos y))

simplify1.6s

Counts
211 → 211
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0559146825
11341134767
done5001121910

prune2.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize508.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
29×*-un-lft-identity
27×prod-diff
25×add-cube-cbrt
10×sqrt-prod
8×add-log-exp
6×fma-neg
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u
3×cbrt-prod difference-of-squares
2×sub-neg flip3-- diff-log flip-- distribute-lft-out--
1×pow1/3 fma-udef diff-cos
Counts
4 → 90
Calls
4 calls:
1.0ms
(cbrt 16.0)
12.0ms
(- 3.0 (sqrt 5.0))
12.0ms
(- (cos x) (cos y))
1.0ms
(fma (- (/ (cbrt (sin y)) (cbrt 16.0))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0))) (* (/ (cbrt (sin y)) (cbrt 16.0)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0)))))

series606.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(cbrt 16.0)
0.0ms
(- 3.0 (sqrt 5.0))
82.0ms
(- (cos x) (cos y))
523.0ms
(fma (- (/ (cbrt (sin y)) (cbrt 16.0))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0))) (* (/ (cbrt (sin y)) (cbrt 16.0)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0)))))

simplify1.2s

Counts
98 → 98
Iterations

Useful iterations: done (1.2s)

IterNodesCost
019436063
139330247
2129325547
done500022127

prune1.3s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize74.0ms

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))
1.7b
(- (cos x) (cos y))

rewrite189.0ms

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-cbrt-cube add-exp-log
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:
100.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
53.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
7.0ms
(- 3.0 (sqrt 5.0))
7.0ms
(- (cos x) (cos y))

series330.0ms

Counts
4 → 10
Calls
4 calls:
165.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
99.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
65.0ms
(- (cos x) (cos y))

simplify2.4s

Counts
301 → 301
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0734237356
11991219007
done5001198046

prune3.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize262.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
29×*-un-lft-identity
27×prod-diff
25×add-cube-cbrt
10×sqrt-prod
8×add-log-exp
6×fma-neg
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u
3×cbrt-prod difference-of-squares
2×sub-neg flip3-- diff-log flip-- distribute-lft-out--
1×pow1/3 fma-udef diff-cos
Counts
4 → 90
Calls
4 calls:
1.0ms
(cbrt 16.0)
13.0ms
(- 3.0 (sqrt 5.0))
13.0ms
(- (cos x) (cos y))
1.0ms
(fma (- (/ (cbrt (sin y)) (cbrt 16.0))) (* (/ (cbrt (sin y)) (cbrt 16.0)) (/ (cbrt (sin y)) (cbrt 16.0))) (* (/ (cbrt (sin y)) (cbrt 16.0)) (* (/ (cbrt (sin y)) (cbrt 16.0)) (/ (cbrt (sin y)) (cbrt 16.0)))))

series617.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(cbrt 16.0)
0.0ms
(- 3.0 (sqrt 5.0))
89.0ms
(- (cos x) (cos y))
528.0ms
(fma (- (/ (cbrt (sin y)) (cbrt 16.0))) (* (/ (cbrt (sin y)) (cbrt 16.0)) (/ (cbrt (sin y)) (cbrt 16.0))) (* (/ (cbrt (sin y)) (cbrt 16.0)) (* (/ (cbrt (sin y)) (cbrt 16.0)) (/ (cbrt (sin y)) (cbrt 16.0)))))

simplify1.7s

Counts
98 → 98
Iterations

Useful iterations: done (1.7s)

IterNodesCost
020635763
143431107
2145126267
done500021057

prune1.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes695.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify54.0ms

Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
0401508
1541508
2571508
3591508
done591508

end0.0ms

sample14.3s

Algorithm
intervals
Results
7.8s2697×body1280valid
4.0s1941×body640valid
817.0ms732×body320valid
817.0ms2244×body80valid
558.0ms386×body160valid