Details

sample128.0ms

Algorithm

intervals

Results

61.0ms	309×	body	80	valid
19.0ms	21×	body	1280	valid
18.0ms	27×	body	640	valid
8.0ms	17×	body	320	valid
4.0ms	10×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	2531
6	2531
5	1352
4	542
3	196
2	66
1	28
0	12

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x (* sin cos)) (* x (* sin cos)))
0.3b	(/ (cos (* 2 x)) (* (* x (* sin cos)) (* x (* sin cos))))
6.8b	(* x (* sin cos))
6.8b	(* x (* sin cos))

rewrite246.0ms

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-l`
4×	`insert-posit16` `add-log-exp`
3×	`times-frac` `pow-plus` `associate-r` `-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:

78.0ms	(* (* x (* sin cos)) (* x (* sin cos)))
104.0ms	(/ (cos (* 2 x)) (* (* x (* sin cos)) (* x (* sin cos))))
34.0ms	(* x (* sin cos))
27.0ms	(* x (* sin cos))

series282.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (* x (* sin cos)) (* x (* sin cos)))
130.0ms	(/ (cos (* 2 x)) (* (* x (* sin cos)) (* x (* sin cos))))
32.0ms	(* x (* sin cos))
44.0ms	(* x (* sin cos))

simplify1.1s

Counts

150 → 150

Iterations

Iter	Nodes
done	2010
2	2010
1	401
0	141

prune1.4s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (cos (* x 2)) (* sin (* cos x))) (* sin (* cos x)))
0.9b	(/ (cos (* x 2)) (* sin (* cos x)))
3.4b	(* sin (* cos x))
3.4b	(* sin (* cos x))

rewrite114.0ms

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-l` `pow-prod-down`
4×	`insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-r` `-commutative`
1×	`associate-/l/`

Counts

4 → 113

Calls

4 calls:

52.0ms	(/ (/ (cos (* x 2)) (* sin (* cos x))) (* sin (* cos x)))
29.0ms	(/ (cos (* x 2)) (* sin (* cos x)))
16.0ms	(* sin (* cos x))
14.0ms	(* sin (* cos x))

series222.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(/ (/ (cos (* x 2)) (* sin (* cos x))) (* sin (* cos x)))
59.0ms	(/ (cos (* x 2)) (* sin (* cos x)))
29.0ms	(* sin (* cos x))
34.0ms	(* sin (* cos x))

simplify1.0s

Counts

125 → 125

Iterations

Iter	Nodes
done	2000
2	2000
1	437
0	153

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (cos (* x 2)) sin)
0.2b	(/ (/ (/ (cos (* x 2)) sin) (* cos x)) (* sin (* cos x)))
3.4b	(* sin (* cos x))
3.5b	(/ (/ (cos (* x 2)) sin) (* cos x))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

101×	`times-frac`
92×	`add-cbrt-cube` `add-exp-log`
43×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
40×	`cbrt-undiv` `div-exp`
33×	`associate-/l*`
26×	`prod-exp` `cbrt-unprod`
9×	`pow1` `div-inv`
5×	`associate-/r*`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `pow-prod-down`
2×	`associate-/l/`
1×	`associate-r` `*-commutative`

Counts

4 → 171

Calls

4 calls:

13.0ms	(/ (cos (* x 2)) sin)
31.0ms	(/ (/ (/ (cos (* x 2)) sin) (* cos x)) (* sin (* cos x)))
18.0ms	(* sin (* cos x))
16.0ms	(/ (/ (cos (* x 2)) sin) (* cos x))

series224.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ (cos (* x 2)) sin)
99.0ms	(/ (/ (/ (cos (* x 2)) sin) (* cos x)) (* sin (* cos x)))
32.0ms	(* sin (* cos x))
43.0ms	(/ (/ (cos (* x 2)) sin) (* cos x))

simplify1.0s

Counts

183 → 183

Iterations

Iter	Nodes
done	2004
2	2004
1	699
0	267

prune2.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (cos (* 2 x)) sin)
0.2b	(/ (/ (/ (cos (* 2 x)) sin) (* cos x)) (* sin (* cos x)))
3.4b	(* sin (* cos x))
3.5b	(/ (/ (cos (* 2 x)) sin) (* cos x))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 174

Calls

4 calls:

24.0ms	(/ (cos (* 2 x)) sin)
65.0ms	(/ (/ (/ (cos (* 2 x)) sin) (* cos x)) (* sin (* cos x)))
17.0ms	(* sin (* cos x))
16.0ms	(/ (/ (cos (* 2 x)) sin) (* cos x))

series261.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (cos (* 2 x)) sin)
103.0ms	(/ (/ (/ (cos (* 2 x)) sin) (* cos x)) (* sin (* cos x)))
52.0ms	(* sin (* cos x))
54.0ms	(/ (/ (cos (* 2 x)) sin) (* cos x))

simplify1.1s

Counts

186 → 186

Iterations

Iter	Nodes
done	2014
2	2014
1	719
0	274

prune2.0s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes267.0ms

Accuracy

0% (2.5b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.4s	9077×	body	80	valid
944.0ms	950×	body	640	valid
944.0ms	798×	body	1280	valid
418.0ms	596×	body	320	valid
110.0ms	282×	body	160	valid