Details

sample424.0ms

Algorithm

intervals

Results

190.0ms	88×	body	1280	valid
88.0ms	61×	body	640	valid
74.0ms	23×	body	320	valid
19.0ms	72×	body	80	valid
9.0ms	12×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3141
3	655
2	181
1	74
0	32

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize108.0ms

Local error

Found 4 expressions with local error:

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

rewrite490.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
11×	`add-cbrt-cube` `add-exp-log`
9×	`add-cube-cbrt`
8×	`add-log-exp`
6×	`pow1` `associate-r` `associate-l` `associate-*l/`
5×	`sqrt-prod` `difference-of-squares`
4×	`times-frac` `associate-/r/`
3×	`flip3-+` `flip3--` `flip-+` `flip--` `associate-/l*` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `frac-add` `prod-exp` `associate-*r/` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `diff-cos`

Counts

4 → 84

Calls

4 calls:

396.0ms	(/ (+ (* (* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))) 2.0) (* (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0))) 3.0))
78.0ms	(* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0))
5.0ms	(- 3.0 (sqrt 5.0))
6.0ms	(- (cos x) (cos y))

series2.7s

Counts

4 → 10

Calls

4 calls:

2.4s	(/ (+ (* (* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))) 2.0) (* (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0))) 3.0))
192.0ms	(* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0))
0.0ms	(- 3.0 (sqrt 5.0))
117.0ms	(- (cos x) (cos y))

simplify1.3s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	3451
1	863
0	322

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize145.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (sin x) (/ (sin y) 16.0)))
0.6b	(cbrt (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.7b	(- (cos x) (cos y))

rewrite44.0ms

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` `cbrt-div` `flip3--` `add-cbrt-cube` `add-exp-log` `flip--` `distribute-lft-out--`
2×	`sub-neg` `times-frac` `pow1/3` `diff-log`
1×	`sqrt-prod` `diff-cos`

Counts

4 → 62

Calls

4 calls:

14.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
10.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
8.0ms	(- 3.0 (sqrt 5.0))
8.0ms	(- (cos x) (cos y))

series508.0ms

Counts

4 → 10

Calls

4 calls:

197.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
226.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
85.0ms	(- (cos x) (cos y))

simplify1.3s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
3	2033
2	713
1	306
0	152

prune905.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize152.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (sin x) (/ (sin y) 16.0)))
0.6b	(cbrt (- (sin x) (/ (sin y) 16.0)))
0.6b	(cbrt (- (sin x) (/ (sin y) 16.0)))
1.7b	(- (cos x) (cos y))

rewrite58.0ms

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` `flip3--` `add-cbrt-cube` `add-exp-log` `flip--` `distribute-lft-out--`
3×	`times-frac` `pow1/3`
1×	`sub-neg` `diff-log` `diff-cos`

Counts

4 → 63

Calls

4 calls:

12.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
17.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
16.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
10.0ms	(- (cos x) (cos y))

series735.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
226.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
193.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
78.0ms	(- (cos x) (cos y))

simplify852.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
3	1726
2	579
1	248
0	120

prune1.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize194.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (sin x) (/ (sin y) 16.0)))
0.6b	(cbrt (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.7b	(- (cos x) (cos y))

rewrite61.0ms

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` `cbrt-div` `flip3--` `add-cbrt-cube` `add-exp-log` `flip--` `distribute-lft-out--`
2×	`sub-neg` `times-frac` `pow1/3` `diff-log`
1×	`sqrt-prod` `diff-cos`

Counts

4 → 62

Calls

4 calls:

18.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
18.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
11.0ms	(- 3.0 (sqrt 5.0))
12.0ms	(- (cos x) (cos y))

series602.0ms

Counts

4 → 10

Calls

4 calls:

302.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
201.0ms	(cbrt (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
99.0ms	(- (cos x) (cos y))

simplify1.0s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	2058
2	704
1	302
0	149

prune987.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes367.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	49
1	49
0	38

end0.0ms

sample16.2s

Algorithm

intervals

Results

8.6s	2697×	body	1280	valid
4.4s	1941×	body	640	valid
1.5s	732×	body	320	valid
910.0ms	2244×	body	80	valid
305.0ms	386×	body	160	valid