Details

sample104.0ms

Algorithm

intervals

Results

47.0ms	274×	body	80	valid
16.0ms	23×	body	1280	valid
13.0ms	25×	body	640	valid
9.0ms	23×	body	320	valid
3.0ms	11×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

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

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.4b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (cos (* 2 x)) (* (* x (* sin cos)) (* x (* sin cos))))
0.3b	(* (* x (* sin cos)) (* x (* sin cos)))
6.1b	(* x (* sin cos))
6.1b	(* x (* sin cos))

rewrite248.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 146

Calls

4 calls:

83.0ms	(/ (cos (* 2 x)) (* (* x (* sin cos)) (* x (* sin cos))))
96.0ms	(* (* x (* sin cos)) (* x (* sin cos)))
35.0ms	(* x (* sin cos))
29.0ms	(* x (* sin cos))

series298.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(/ (cos (* 2 x)) (* (* x (* sin cos)) (* x (* sin cos))))
94.0ms	(* (* x (* sin cos)) (* x (* sin cos)))
46.0ms	(* x (* sin cos))
44.0ms	(* x (* sin cos))

simplify928.0ms

Counts

158 → 158

Iterations

Iter	Nodes
done	2000
2	2000
1	425
0	147

prune1.9s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (cos (* 2 x)) (* x (* sin cos))) (* x (* sin cos)))
0.2b	(/ (cos (* 2 x)) (* x (* sin cos)))
6.1b	(* x (* sin cos))
6.1b	(* x (* sin cos))

rewrite172.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`div-sub`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-r` `-commutative` `cos-2`
1×	`associate-/l/`

Counts

4 → 123

Calls

4 calls:

75.0ms	(/ (/ (cos (* 2 x)) (* x (* sin cos))) (* x (* sin cos)))
36.0ms	(/ (cos (* 2 x)) (* x (* sin cos)))
31.0ms	(* x (* sin cos))
26.0ms	(* x (* sin cos))

series226.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(/ (/ (cos (* 2 x)) (* x (* sin cos))) (* x (* sin cos)))
43.0ms	(/ (cos (* 2 x)) (* x (* sin cos)))
36.0ms	(* x (* sin cos))
36.0ms	(* x (* sin cos))

simplify1.1s

Counts

135 → 135

Iterations

Iter	Nodes
done	2000
2	2000
1	441
0	165

prune1.6s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (cos (* 2 x)) x)
0.2b	(/ (/ (/ (cos (* 2 x)) x) (* sin cos)) (* x (* sin cos)))
6.1b	(* x (* sin cos))
6.1b	(/ (/ (cos (* 2 x)) x) (* sin cos))

rewrite147.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `pow-prod-down` `cos-2`
2×	`associate-/l/`
1×	`associate-r` `*-commutative`

Counts

4 → 182

Calls

4 calls:

20.0ms	(/ (cos (* 2 x)) x)
55.0ms	(/ (/ (/ (cos (* 2 x)) x) (* sin cos)) (* x (* sin cos)))
27.0ms	(* x (* sin cos))
41.0ms	(/ (/ (cos (* 2 x)) x) (* sin cos))

series222.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (cos (* 2 x)) x)
100.0ms	(/ (/ (/ (cos (* 2 x)) x) (* sin cos)) (* x (* sin cos)))
28.0ms	(* x (* sin cos))
50.0ms	(/ (/ (cos (* 2 x)) x) (* sin cos))

simplify906.0ms

Counts

194 → 194

Iterations

Iter	Nodes
done	2001
2	2001
1	735
0	279

prune2.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

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)))
5.2b	(* sin (* cos x))
5.2b	(* sin (* cos x))

rewrite236.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 146

Calls

4 calls:

102.0ms	(/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))
95.0ms	(* (* sin (* cos x)) (* sin (* cos x)))
18.0ms	(* sin (* cos x))
19.0ms	(* sin (* cos x))

series265.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))
92.0ms	(* (* sin (* cos x)) (* sin (* cos x)))
38.0ms	(* sin (* cos x))
29.0ms	(* sin (* cos x))

simplify1.4s

Counts

158 → 158

Iterations

Iter	Nodes
done	2013
3	2013
2	1935
1	424
0	147

prune1.7s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes322.0ms

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
done	13
1	13
0	10

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.8s	8910×	body	80	valid
977.0ms	830×	body	1280	valid
866.0ms	995×	body	640	valid
697.0ms	630×	body	320	valid
188.0ms	295×	body	160	valid