Details

sample167.0ms

Algorithm

intervals

Results

60.0ms	300×	body	80	valid
32.0ms	16×	body	320	valid
28.0ms	26×	body	1280	valid
23.0ms	28×	body	640	valid
2.0ms	5×	body	160	valid

simplify590.0ms

Counts

1 → 1

Iterations

Iter	Nodes
7	610
6	610
5	603
4	447
3	163
2	53
1	28
0	12

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* sin x) cos) (* (* sin x) cos))
0.4b	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
2.9b	(* (* sin x) cos)
2.9b	(* (* sin x) cos)

rewrite208.0ms

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:

91.0ms	(* (* (* sin x) cos) (* (* sin x) cos))
76.0ms	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
16.0ms	(* (* sin x) cos)
22.0ms	(* (* sin x) cos)

series212.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (* (* sin x) cos) (* (* sin x) cos))
77.0ms	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
36.0ms	(* (* sin x) cos)
36.0ms	(* (* sin x) cos)

simplify10.0s

Counts

150 → 150

Iterations

Iter	Nodes
3	16995
2	1803
1	412
0	143

prune1.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (cos (* 2 x)) (* (* sin x) cos))
0.7b	(/ 1 (* (* sin x) cos))
2.9b	(* (* sin x) cos)
2.9b	(* (* sin x) cos)

rewrite78.0ms

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:

22.0ms	(/ (cos (* 2 x)) (* (* sin x) cos))
24.0ms	(/ 1 (* (* sin x) cos))
17.0ms	(* (* sin x) cos)
14.0ms	(* (* sin x) cos)

series119.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (cos (* 2 x)) (* (* sin x) cos))
20.0ms	(/ 1 (* (* sin x) cos))
28.0ms	(* (* sin x) cos)
30.0ms	(* (* sin x) cos)

simplify5.2s

Counts

109 → 109

Iterations

Iter	Nodes
3	6662
2	1106
1	316
0	124

prune1.4s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* sin x) cos))
0.8b	(/ (cbrt (cos (* 2 x))) (* (* sin x) cos))
2.9b	(* (* sin x) cos)
2.9b	(* (* sin x) cos)

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
35×	`add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
14×	`pow1`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-undiv` `div-exp`
7×	`times-frac` `associate-/l*`
6×	`cbrt-prod` `associate-r` `pow-prod-down`
4×	`insert-posit16` `add-log-exp`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-l` `-commutative` `div-inv`

Counts

4 → 94

Calls

4 calls:

37.0ms	(/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* sin x) cos))
39.0ms	(/ (cbrt (cos (* 2 x))) (* (* sin x) cos))
29.0ms	(* (* sin x) cos)
29.0ms	(* (* sin x) cos)

series271.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* sin x) cos))
85.0ms	(/ (cbrt (cos (* 2 x))) (* (* sin x) cos))
29.0ms	(* (* sin x) cos)
32.0ms	(* (* sin x) cos)

simplify4.3s

Counts

106 → 106

Iterations

Iter	Nodes
3	10692
2	1402
1	332
0	125

prune1.4s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (* sin x) cos)
17.1b	(cbrt (* (* sin x) cos))
17.1b	(cbrt (* (* sin x) cos))
17.1b	(cbrt (* (* sin x) cos))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 49

Calls

4 calls:

29.0ms	(* (* sin x) cos)
28.0ms	(cbrt (* (* sin x) cos))
20.0ms	(cbrt (* (* sin x) cos))
20.0ms	(cbrt (* (* sin x) cos))

series474.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* sin x) cos)
141.0ms	(cbrt (* (* sin x) cos))
129.0ms	(cbrt (* (* sin x) cos))
158.0ms	(cbrt (* (* sin x) cos))

simplify3.7s

Counts

61 → 61

Iterations

Iter	Nodes
4	5905
3	1932
2	573
1	191
0	79

prune882.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

regimes431.0ms

Accuracy

0% (2.5b remaining)

Error of 2.7b against oracle of 0.2b and baseline of 2.7b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	17
1	17
0	13

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.4s	8869×	body	80	valid
963.0ms	968×	body	640	valid
900.0ms	809×	body	1280	valid
389.0ms	612×	body	320	valid
138.0ms	307×	body	160	valid