Details

sample167.0ms

Algorithm

intervals

Results

62.0ms	295×	body	80	valid
27.0ms	32×	body	640	valid
27.0ms	19×	body	320	valid
24.0ms	23×	body	1280	valid
4.0ms	9×	body	160	valid

simplify602.0ms

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* sin x) cos) (* (* sin x) cos))
0.6b	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
4.5b	(* (* sin x) cos)
4.5b	(* (* sin x) cos)

rewrite221.0ms

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:

103.0ms	(* (* (* sin x) cos) (* (* sin x) cos))
81.0ms	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
14.0ms	(* (* sin x) cos)
17.0ms	(* (* sin x) cos)

series241.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (* (* sin x) cos) (* (* sin x) cos))
99.0ms	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
29.0ms	(* (* sin x) cos)
33.0ms	(* (* sin x) cos)

simplify12.0s

Counts

150 → 150

Iterations

Iter	Nodes
3	16995
2	1803
1	412
0	143

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos))
0.4b	(/ (cos (* 2 x)) (* (* sin x) cos))
4.5b	(* (* sin x) cos)
4.5b	(* (* sin x) cos)

rewrite141.0ms

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:

40.0ms	(/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos))
37.0ms	(/ (cos (* 2 x)) (* (* sin x) cos))
34.0ms	(* (* sin x) cos)
29.0ms	(* (* sin x) cos)

series203.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos))
43.0ms	(/ (cos (* 2 x)) (* (* sin x) cos))
29.0ms	(* (* sin x) cos)
29.0ms	(* (* sin x) cos)

simplify694.0ms

Counts

127 → 127

Iterations

Iter	Nodes
2	2275
1	470
0	161

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (* sin x) cos)
14.2b	(cbrt (/ (cos (* 2 x)) (* (* sin x) cos)))
14.2b	(cbrt (/ (cos (* 2 x)) (* (* sin x) cos)))
14.2b	(cbrt (/ (cos (* 2 x)) (* (* sin x) cos)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`pow1` `times-frac` `add-cbrt-cube` `add-exp-log`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-l` `*-commutative`

Counts

4 → 70

Calls

4 calls:

17.0ms	(* (* sin x) cos)
22.0ms	(cbrt (/ (cos (* 2 x)) (* (* sin x) cos)))
21.0ms	(cbrt (/ (cos (* 2 x)) (* (* sin x) cos)))
21.0ms	(cbrt (/ (cos (* 2 x)) (* (* sin x) cos)))

series703.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* sin x) cos)
226.0ms	(cbrt (/ (cos (* 2 x)) (* (* sin x) cos)))
229.0ms	(cbrt (/ (cos (* 2 x)) (* (* sin x) cos)))
216.0ms	(cbrt (/ (cos (* 2 x)) (* (* sin x) cos)))

simplify1.0s

Counts

82 → 82

Iterations

Iter	Nodes
3	2601
2	739
1	257
0	113

prune1.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (* sin x) cos)
21.7b	(cbrt (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)))
21.7b	(cbrt (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)))
21.7b	(cbrt (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-prod`
30×	`times-frac`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 82

Calls

4 calls:

29.0ms	(* (* sin x) cos)
23.0ms	(cbrt (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)))
24.0ms	(cbrt (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)))
48.0ms	(cbrt (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)))

series684.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* sin x) cos)
205.0ms	(cbrt (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)))
214.0ms	(cbrt (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)))
233.0ms	(cbrt (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)))

simplify1.3s

Counts

94 → 94

Iterations

Iter	Nodes
3	2989
2	915
1	335
0	145

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes243.0ms

Accuracy

0% (2.9b remaining)

Error of 3.0b against oracle of 0.1b and baseline of 3.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	16
1	16
0	13

end0.0ms

sample5.1s

Algorithm

intervals

Results

1.9s	9027×	body	80	valid
1.3s	963×	body	640	valid
1.0s	823×	body	1280	valid
370.0ms	521×	body	320	valid
153.0ms	327×	body	160	valid