Details

sample105.0ms

Algorithm

intervals

Results

39.0ms	274×	body	80	valid
20.0ms	25×	body	640	valid
17.0ms	23×	body	1280	valid
10.0ms	23×	body	320	valid
3.0ms	11×	body	160	valid

simplify615.0ms

Counts

1 → 1

Iterations

Iter	Nodes
7	610
6	610
5	603
4	447
3	163
2	53
1	28
0	12

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
0.3b	(* (* (* sin x) cos) (* (* sin x) cos))
4.4b	(* (* sin x) cos)
4.4b	(* (* sin x) cos)

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

128×	`pow1`
97×	`add-cbrt-cube` `add-exp-log`
72×	`pow-prod-down`
60×	`prod-exp` `cbrt-unprod`
10×	`cbrt-undiv` `div-exp`
9×	`pow-sqr` `pow-prod-up`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
4×	`insert-posit16` `add-log-exp`
3×	`times-frac` `pow-plus` `associate-l` `-commutative` `associate-/l`
1×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `div-sub` `swap-sqr` `cos-2` `div-inv`

Counts

4 → 138

Calls

4 calls:

112.0ms	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
103.0ms	(* (* (* sin x) cos) (* (* sin x) cos))
16.0ms	(* (* sin x) cos)
22.0ms	(* (* sin x) cos)

series518.0ms

Counts

4 → 12

Calls

4 calls:

362.0ms	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
77.0ms	(* (* (* sin x) cos) (* (* sin x) cos))
38.0ms	(* (* sin x) cos)
40.0ms	(* (* sin x) cos)

simplify8.5s

Counts

150 → 150

Iterations

Iter	Nodes
3	17416
2	1779
1	411
0	143

prune428.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos))
0.2b	(/ (cos (* 2 x)) (* (* sin x) cos))
4.4b	(* (* sin x) cos)
4.4b	(* (* sin x) cos)

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-cbrt-cube` `add-exp-log`
30×	`prod-exp` `cbrt-unprod`
24×	`cbrt-undiv` `div-exp`
16×	`times-frac`
14×	`pow1`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
10×	`associate-/l*`
6×	`associate-r` `pow-prod-down`
4×	`insert-posit16` `div-inv` `add-log-exp`
3×	`div-sub`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-l` `-commutative` `cos-2`
1×	`associate-/l/`

Counts

4 → 115

Calls

4 calls:

55.0ms	(/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos))
23.0ms	(/ (cos (* 2 x)) (* (* sin x) cos))
15.0ms	(* (* sin x) cos)
16.0ms	(* (* sin x) cos)

series209.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos))
44.0ms	(/ (cos (* 2 x)) (* (* sin x) cos))
38.0ms	(* (* sin x) cos)
35.0ms	(* (* sin x) cos)

simplify538.0ms

Counts

127 → 127

Iterations

Iter	Nodes
2	2275
1	470
0	161

prune527.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (cos (* 2 x)) (* (* sin x) cos))
0.3b	(/ 1 (* (* sin x) cos))
4.4b	(* (* sin x) cos)
4.4b	(* (* sin x) cos)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
32×	`add-cbrt-cube`
20×	`pow1`
18×	`prod-exp`
12×	`cbrt-unprod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`div-exp` `pow-prod-down`
6×	`cbrt-undiv` `times-frac` `associate-r` `associate-/l*`
4×	`insert-posit16` `add-log-exp`
3×	`rec-exp` `1-exp` `pow-flip`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-l` `-commutative` `div-inv`
1×	`div-sub` `cos-2` `inv-pow`

Counts

4 → 97

Calls

4 calls:

23.0ms	(/ (cos (* 2 x)) (* (* sin x) cos))
29.0ms	(/ 1 (* (* sin x) cos))
18.0ms	(* (* sin x) cos)
26.0ms	(* (* sin x) cos)

series117.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (cos (* 2 x)) (* (* sin x) cos))
22.0ms	(/ 1 (* (* sin x) cos))
28.0ms	(* (* sin x) cos)
28.0ms	(* (* sin x) cos)

simplify5.3s

Counts

109 → 109

Iterations

Iter	Nodes
3	6662
2	1106
1	316
0	124

prune441.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (cos (* 2 x)) (* (* sin x) cos))
0.6b	(/ 1 (* sin x))
4.0b	(* (/ 1 (* sin x)) (/ 1 cos))
4.4b	(* (* sin x) cos)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

112×	`add-exp-log`
49×	`prod-exp`
44×	`add-cbrt-cube`
37×	`div-exp`
25×	`add-sqr-sqrt`
20×	`times-frac`
19×	`pow1` `*-un-lft-identity`
18×	`add-cube-cbrt`
17×	`rec-exp` `1-exp`
16×	`associate-r`
15×	`cbrt-unprod`
12×	`cbrt-undiv`
9×	`pow-prod-down`
8×	`associate-l`
6×	`pow-flip` `associate-/l*`
4×	`insert-posit16` `div-inv` `add-log-exp`
3×	`inv-pow` `unswap-sqr`
2×	`clear-num` `associate-/r` `frac-2neg` `-commutative`
1×	`frac-times` `div-sub` `associate-l/` `associate-r/` `un-div-inv` `cos-2`

Counts

4 → 147

Calls

4 calls:

25.0ms	(/ (cos (* 2 x)) (* (* sin x) cos))
20.0ms	(/ 1 (* sin x))
34.0ms	(* (/ 1 (* sin x)) (/ 1 cos))
14.0ms	(* (* sin x) cos)

series150.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (cos (* 2 x)) (* (* sin x) cos))
19.0ms	(/ 1 (* sin x))
35.0ms	(* (/ 1 (* sin x)) (/ 1 cos))
46.0ms	(* (* sin x) cos)

simplify24.7s

Counts

159 → 159

Iterations

Iter	Nodes
3	8826
2	1878
1	556
0	208

prune679.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes234.0ms

Accuracy

0% (2.6b remaining)

Error of 2.7b against oracle of 0.1b and baseline of 2.7b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	20
1	20
0	15

end0.0ms

sample5.1s

Algorithm

intervals

Results

1.9s	8910×	body	80	valid
978.0ms	830×	body	1280	valid
913.0ms	995×	body	640	valid
548.0ms	295×	body	160	valid
367.0ms	630×	body	320	valid