Details

sample145.0ms

Algorithm

intervals

Results

69.0ms	299×	body	80	valid
24.0ms	27×	body	1280	valid
19.0ms	27×	body	640	valid
11.0ms	20×	body	320	valid
4.0ms	11×	body	160	valid

simplify824.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
5	1352
4	542
3	196
2	66
1	28
0	12

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* sin x) cos) (* (* sin x) cos))
0.3b	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
4.0b	(* (* sin x) cos)
4.0b	(* (* sin x) cos)

rewrite219.0ms

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:

94.0ms	(* (* (* sin x) cos) (* (* sin x) cos))
83.0ms	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
19.0ms	(* (* sin x) cos)
20.0ms	(* (* sin x) cos)

series240.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (* (* sin x) cos) (* (* sin x) cos))
97.0ms	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
28.0ms	(* (* sin x) cos)
29.0ms	(* (* sin x) cos)

simplify828.0ms

Counts

150 → 150

Iterations

Iter	Nodes
done	2004
2	1684
1	422
0	143

prune403.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (* (* sin x) cos))
0.6b	(/ (cos (* 2 x)) (* (* sin x) cos))
4.0b	(* (* sin x) cos)
4.0b	(* (* sin x) cos)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
32×	`add-cbrt-cube`
20×	`pow1`
18×	`prod-exp`
12×	`cbrt-unprod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`div-exp` `pow-prod-down`
6×	`cbrt-undiv` `times-frac` `associate-r` `associate-/l*`
4×	`insert-posit16` `add-log-exp`
3×	`rec-exp` `1-exp` `pow-flip`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-l` `-commutative` `div-inv`
1×	`div-sub` `cos-2` `inv-pow`

Counts

4 → 97

Calls

4 calls:

31.0ms	(/ 1 (* (* sin x) cos))
33.0ms	(/ (cos (* 2 x)) (* (* sin x) cos))
25.0ms	(* (* sin x) cos)
19.0ms	(* (* sin x) cos)

series128.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 1 (* (* sin x) cos))
39.0ms	(/ (cos (* 2 x)) (* (* sin x) cos))
27.0ms	(* (* sin x) cos)
30.0ms	(* (* sin x) cos)

simplify624.0ms

Counts

109 → 109

Iterations

Iter	Nodes
done	2367
2	1141
1	321
0	124

prune430.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (* (* sin x) cos))
0.7b	(/ 1 (* sin x))
3.8b	(* (/ 1 (* sin x)) (/ (cos (* 2 x)) cos))
4.0b	(* (* sin x) cos)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-exp-log`
44×	`add-cbrt-cube`
35×	`prod-exp`
25×	`div-exp`
23×	`add-sqr-sqrt`
20×	`pow1`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-r`
15×	`cbrt-unprod`
12×	`cbrt-undiv`
9×	`rec-exp` `1-exp`
8×	`associate-l` `pow-prod-down`
6×	`associate-/l*`
5×	`pow-flip`
4×	`insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `associate-/r` `frac-2neg` `-commutative` `inv-pow` `unswap-sqr`
1×	`frac-times` `associate-l/` `associate-r/`

Counts

4 → 137

Calls

4 calls:

25.0ms	(/ 1 (* (* sin x) cos))
9.0ms	(/ 1 (* sin x))
29.0ms	(* (/ 1 (* sin x)) (/ (cos (* 2 x)) cos))
14.0ms	(* (* sin x) cos)

series140.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (* (* sin x) cos))
14.0ms	(/ 1 (* sin x))
64.0ms	(* (/ 1 (* sin x)) (/ (cos (* 2 x)) cos))
37.0ms	(* (* sin x) cos)

simplify800.0ms

Counts

149 → 149

Iterations

Iter	Nodes
done	2000
2	1954
1	534
0	190

prune572.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ 1 (* (* sin x) cos)) (* (/ (/ 1 sin) x) (/ (cos (* 2 x)) cos)))
0.5b	(/ 1 (* (* sin x) cos))
3.8b	(* (/ (/ 1 sin) x) (/ (cos (* 2 x)) cos))
4.0b	(* (* sin x) cos)

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

667×	`add-exp-log`
331×	`prod-exp`
259×	`div-exp`
197×	`add-cbrt-cube`
95×	`times-frac`
85×	`cbrt-unprod`
79×	`add-sqr-sqrt`
69×	`cbrt-undiv`
58×	`rec-exp` `1-exp`
53×	`*-un-lft-identity`
51×	`associate-l` `add-cube-cbrt`
22×	`pow1`
17×	`associate-r`
10×	`pow-prod-down`
8×	`unswap-sqr`
7×	`div-inv`
6×	`frac-times` `associate-*r/`
4×	`associate-*l/` `insert-posit16` `add-log-exp`
3×	`-commutative` `pow-flip` `associate-/l`
1×	`clear-num` `associate-/r*` `frac-2neg` `inv-pow`

Counts

4 → 310

Calls

4 calls:

134.0ms	(* (/ 1 (* (* sin x) cos)) (* (/ (/ 1 sin) x) (/ (cos (* 2 x)) cos)))
27.0ms	(/ 1 (* (* sin x) cos))
20.0ms	(* (/ (/ 1 sin) x) (/ (cos (* 2 x)) cos))
16.0ms	(* (* sin x) cos)

series269.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (/ 1 (* (* sin x) cos)) (* (/ (/ 1 sin) x) (/ (cos (* 2 x)) cos)))
29.0ms	(/ 1 (* (* sin x) cos))
75.0ms	(* (/ (/ 1 sin) x) (/ (cos (* 2 x)) cos))
41.0ms	(* (* sin x) cos)

simplify753.0ms

Counts

322 → 322

Iterations

Iter	Nodes
done	2003
1	1262
0	440

prune904.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes507.0ms

Accuracy

0% (2.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.9s	9042×	body	80	valid
1.1s	971×	body	640	valid
823.0ms	789×	body	1280	valid
345.0ms	588×	body	320	valid
108.0ms	301×	body	160	valid