Details

sample138.0ms

Algorithm

intervals

Results

47.0ms	270×	body	80	valid
35.0ms	25×	body	1280	valid
24.0ms	31×	body	640	valid
10.0ms	17×	body	320	valid
5.0ms	15×	body	160	valid

simplify971.0ms

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.0b

localize37.0ms

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))
4.9b	(* (* sin x) cos)
4.9b	(* (* sin x) cos)

rewrite295.0ms

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:

114.0ms	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
116.0ms	(* (* (* sin x) cos) (* (* sin x) cos))
32.0ms	(* (* sin x) cos)
30.0ms	(* (* sin x) cos)

series228.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
69.0ms	(* (* (* sin x) cos) (* (* sin x) cos))
40.0ms	(* (* sin x) cos)
28.0ms	(* (* sin x) cos)

simplify8.5s

Counts

150 → 150

Iterations

Iter	Nodes
3	17136
2	1775
1	417
0	143

prune1.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
0.3b	(* (* (* sin cos) x) (* (* sin cos) x))
3.6b	(* (* sin cos) x)
3.6b	(* (* sin cos) x)

rewrite220.0ms

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:

83.0ms	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
88.0ms	(* (* (* sin cos) x) (* (* sin cos) x))
21.0ms	(* (* sin cos) x)
25.0ms	(* (* sin cos) x)

series191.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
60.0ms	(* (* (* sin cos) x) (* (* sin cos) x))
26.0ms	(* (* sin cos) x)
29.0ms	(* (* sin cos) x)

simplify9.3s

Counts

150 → 150

Iterations

Iter	Nodes
3	18032
2	1830
1	414
0	143

prune1.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (* (* (* sin cos) x) (* (* sin cos) x)) (cos (* 2 x))))
0.3b	(* (* (* sin cos) x) (* (* sin cos) x))
3.6b	(* (* sin cos) x)
3.6b	(* (* sin cos) x)

rewrite331.0ms

Algorithm

rewrite-expression-head

Rules

205×	`add-exp-log`
129×	`pow1`
114×	`prod-exp`
109×	`add-cbrt-cube`
72×	`pow-prod-down`
60×	`cbrt-unprod`
52×	`div-exp`
33×	`times-frac`
22×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
21×	`cbrt-undiv`
11×	`rec-exp` `1-exp`
9×	`pow-sqr` `pow-prod-up`
7×	`associate-/r` `associate-r*`
5×	`div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`pow-plus` `associate-l` `-commutative` `associate-/l`
1×	`pow2` `clear-num` `frac-2neg` `swap-sqr` `associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 188

Calls

4 calls:

173.0ms	(/ 1 (/ (* (* (* sin cos) x) (* (* sin cos) x)) (cos (* 2 x))))
92.0ms	(* (* (* sin cos) x) (* (* sin cos) x))
31.0ms	(* (* sin cos) x)
31.0ms	(* (* sin cos) x)

series358.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(/ 1 (/ (* (* (* sin cos) x) (* (* sin cos) x)) (cos (* 2 x))))
105.0ms	(* (* (* sin cos) x) (* (* sin cos) x))
46.0ms	(* (* sin cos) x)
46.0ms	(* (* sin cos) x)

simplify965.0ms

Counts

200 → 200

Iterations

Iter	Nodes
2	3151
1	660
0	231

prune2.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 1 (/ (* (* sin cos) x) 1)) (/ (* (* sin cos) x) (cos (* 2 x))))
1.2b	(/ 1 (/ (* (* sin cos) x) 1))
3.6b	(* (* sin cos) x)
3.6b	(* (* sin cos) x)

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

536×	`times-frac`
513×	`add-exp-log`
314×	`div-exp`
188×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
162×	`prod-exp`
138×	`add-cbrt-cube`
80×	`1-exp`
70×	`cbrt-undiv`
65×	`div-inv`
36×	`cbrt-unprod`
35×	`rec-exp`
29×	`associate-/l*`
15×	`pow1`
14×	`associate-/r*`
10×	`associate-/r/`
6×	`associate-r` `pow-prod-down`
4×	`insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-l` `*-commutative`
1×	`pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 444

Calls

4 calls:

42.0ms	(/ (/ 1 (/ (* (* sin cos) x) 1)) (/ (* (* sin cos) x) (cos (* 2 x))))
22.0ms	(/ 1 (/ (* (* sin cos) x) 1))
21.0ms	(* (* sin cos) x)
27.0ms	(* (* sin cos) x)

series273.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(/ (/ 1 (/ (* (* sin cos) x) 1)) (/ (* (* sin cos) x) (cos (* 2 x))))
34.0ms	(/ 1 (/ (* (* sin cos) x) 1))
44.0ms	(* (* sin cos) x)
35.0ms	(* (* sin cos) x)

simplify998.0ms

Counts

456 → 456

Iterations

Iter	Nodes
1	2277
0	671

prune5.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes254.0ms

Accuracy

0% (2.7b remaining)

Error of 2.8b against oracle of 0.1b and baseline of 2.8b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	17
1	17
0	12

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.2s	9190×	body	80	valid
885.0ms	770×	body	1280	valid
851.0ms	930×	body	640	valid
379.0ms	565×	body	320	valid
113.0ms	314×	body	160	valid