Details

sample158.0ms

Algorithm

intervals

Results

66.0ms	39×	body	1280	valid
47.0ms	289×	body	80	valid
17.0ms	24×	body	640	valid
8.0ms	17×	body	320	valid
2.0ms	8×	body	160	valid

simplify887.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	733
7	733
6	732
5	652
4	463
3	164
2	55
1	28
0	12

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* sin x) cos) (* (* sin x) cos))
0.4b	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
4.2b	(* (* sin x) cos)
4.2b	(* (* sin x) cos)

rewrite305.0ms

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:

145.0ms	(* (* (* sin x) cos) (* (* sin x) cos))
121.0ms	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
18.0ms	(* (* sin x) cos)
14.0ms	(* (* sin x) cos)

series264.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* (* sin x) cos) (* (* sin x) cos))
130.0ms	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
29.0ms	(* (* sin x) cos)
40.0ms	(* (* sin x) cos)

simplify11.2s

Counts

150 → 150

Iterations

Iter	Nodes
3	18670
2	1778
1	410
0	143

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(cos (* 2 x))
0.8b	(/ (cos (* 2 x)) (* (* sin x) cos))
4.2b	(* (* sin x) cos)
4.2b	(* (* sin x) cos)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

13.0ms	(cos (* 2 x))
44.0ms	(/ (cos (* 2 x)) (* (* sin x) cos))
25.0ms	(* (* sin x) cos)
26.0ms	(* (* sin x) cos)

series149.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cos (* 2 x))
46.0ms	(/ (cos (* 2 x)) (* (* sin x) cos))
41.0ms	(* (* sin x) cos)
48.0ms	(* (* sin x) cos)

simplify2.0s

Counts

84 → 84

Iterations

Iter	Nodes
3	5379
2	1002
1	261
0	99

prune891.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(cos (* 2 x))
0.5b	(/ (cos (* 2 x)) (* sin x))
3.9b	(/ (/ (cos (* 2 x)) (* sin x)) cos)
4.2b	(* (* sin x) cos)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
23×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-/l*`
9×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`div-inv`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-/r*` `insert-posit16` `add-log-exp`
3×	`div-sub` `associate-r` `pow-prod-down` `cos-2`
2×	`clear-num` `frac-2neg`
1×	`associate-l` `*-commutative` `associate-/l/`

Counts

4 → 101

Calls

4 calls:

7.0ms	(cos (* 2 x))
17.0ms	(/ (cos (* 2 x)) (* sin x))
28.0ms	(/ (/ (cos (* 2 x)) (* sin x)) cos)
19.0ms	(* (* sin x) cos)

series198.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cos (* 2 x))
73.0ms	(/ (cos (* 2 x)) (* sin x))
65.0ms	(/ (/ (cos (* 2 x)) (* sin x)) cos)
44.0ms	(* (* sin x) cos)

simplify5.0s

Counts

113 → 113

Iterations

Iter	Nodes
3	8484
2	1563
1	445
0	178

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (cos (* 2 x)) sin) x)
0.2b	(cos (* 2 x))
3.9b	(/ (/ (/ (cos (* 2 x)) sin) x) cos)
4.2b	(* (* sin x) cos)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

468×	`times-frac`
231×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
56×	`associate-/l*`
23×	`add-cbrt-cube` `add-exp-log`
22×	`div-inv`
9×	`pow1` `cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`div-sub`
4×	`insert-posit16` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `cos-2`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`associate-l` `*-commutative`

Counts

4 → 294

Calls

4 calls:

13.0ms	(/ (/ (cos (* 2 x)) sin) x)
7.0ms	(cos (* 2 x))
18.0ms	(/ (/ (/ (cos (* 2 x)) sin) x) cos)
17.0ms	(* (* sin x) cos)

series138.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (/ (cos (* 2 x)) sin) x)
11.0ms	(cos (* 2 x))
39.0ms	(/ (/ (/ (cos (* 2 x)) sin) x) cos)
41.0ms	(* (* sin x) cos)

simplify1.1s

Counts

306 → 306

Iterations

Iter	Nodes
2	2935
1	1156
0	518

prune3.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

regimes232.0ms

Accuracy

0% (2.6b remaining)

Error of 2.6b against oracle of 0.1b and baseline of 2.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	15
1	15
0	12

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.0s	9127×	body	80	valid
1.0s	843×	body	1280	valid
907.0ms	939×	body	640	valid
567.0ms	300×	body	160	valid
373.0ms	572×	body	320	valid