Details

sample93.0ms

Algorithm

intervals

Results

24.0ms	36×	body	1280	valid
19.0ms	14×	body	2560	valid
14.0ms	142×	body	80	valid
13.0ms	30×	body	640	valid
7.0ms	23×	body	320	valid
2.0ms	11×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	11	13
2	13	13
done	13	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.1b

localize35.0ms

Local error

Found 3 expressions with local error:

8.9b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
25.6b	(tan (/ x (* y 2.0)))
26.1b	(sin (/ x (* y 2.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 43

Calls

3 calls:

12.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms	(tan (/ x (* y 2.0)))
7.0ms	(sin (/ x (* y 2.0)))

series107.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
42.0ms	(tan (/ x (* y 2.0)))
11.0ms	(sin (/ x (* y 2.0)))

simplify2.0s

Counts

52 → 52

Iterations

Useful iterations: 3 (192.0ms)

Iter	Nodes	Cost
0	77	822
1	139	813
2	323	737
3	799	733
4	2495	733
done	5000	733

prune211.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 23.3b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune38.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 23.3b

localize16.0ms

Local error

Found 4 expressions with local error:

8.9b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
26.0b	(cos (/ x (* y 2.0)))
26.1b	(sin (/ x (* y 2.0)))
26.1b	(sin (/ x (* y 2.0)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `associate-/r/` `sin-cos-mult` `cbrt-unprod` `div-inv`

Counts

4 → 43

Calls

4 calls:

36.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
5.0ms	(cos (/ x (* y 2.0)))
5.0ms	(sin (/ x (* y 2.0)))
6.0ms	(sin (/ x (* y 2.0)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
13.0ms	(cos (/ x (* y 2.0)))
11.0ms	(sin (/ x (* y 2.0)))
11.0ms	(sin (/ x (* y 2.0)))

simplify8.8s

Counts

55 → 55

Iterations

Useful iterations: 3 (427.0ms)

Iter	Nodes	Cost
0	71	905
1	145	719
2	409	546
3	1220	542
4	4953	542
done	5000	542

prune285.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 23.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (pow (cos (/ x (* y 2.0))) 3))
0.2b	(cbrt (/ 1 (pow (cos (/ x (* y 2.0))) 3)))
0.3b	(pow (cos (/ x (* y 2.0))) 3)
26.0b	(cos (/ x (* y 2.0)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

72×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
40×	`cbrt-prod`
24×	`unpow-prod-down` `cube-prod`
14×	`add-exp-log`
12×	`associate-/r*`
8×	`cube-mult` `unpow3` `sqr-pow`
7×	`add-cbrt-cube`
6×	`div-exp`
5×	`pow1`
4×	`pow-to-exp` `pow-exp` `add-log-exp`
3×	`rec-exp` `pow-unpow` `1-exp` `associate-/l*`
2×	`div-inv`
1×	`cbrt-undiv` `cbrt-div` `pow-flip` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `inv-pow` `rem-cube-cbrt`

Counts

4 → 152

Calls

4 calls:

25.0ms	(/ 1 (pow (cos (/ x (* y 2.0))) 3))
10.0ms	(cbrt (/ 1 (pow (cos (/ x (* y 2.0))) 3)))
6.0ms	(pow (cos (/ x (* y 2.0))) 3)
10.0ms	(cos (/ x (* y 2.0)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ 1 (pow (cos (/ x (* y 2.0))) 3))
32.0ms	(cbrt (/ 1 (pow (cos (/ x (* y 2.0))) 3)))
59.0ms	(pow (cos (/ x (* y 2.0))) 3)
18.0ms	(cos (/ x (* y 2.0)))

simplify1.5s

Counts

164 → 164

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	165	2987
1	268	2455
2	591	2204
done	5000	2201

prune356.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 23.2b

regimes371.0ms

Accuracy

0% (2.4b remaining)

Error of 28.6b against oracle of 26.3b and baseline of 28.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	16	13
done	16	13

end0.0ms

sample6.2s

Algorithm

intervals

Results

1.7s	609×	body	2560	valid
1.6s	1412×	body	1280	valid
1.2s	1016×	body	640	valid
764.0ms	4058×	body	80	valid
388.0ms	588×	body	320	valid
249.0ms	317×	body	160	valid