Details

sample100.0ms

Algorithm

intervals

Results

30.0ms	24×	body	2560	valid
28.0ms	47×	body	1280	valid
12.0ms	119×	body	80	valid
10.0ms	28×	body	640	valid
6.0ms	25×	body	320	valid
3.0ms	13×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.4b

localize10.0ms

Local error

Found 3 expressions with local error:

8.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.8b	(sin (/ x (* y 2.0)))
31.3b	(tan (/ x (* y 2.0)))

rewrite8.0ms

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:

4.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))

series89.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
43.0ms	(tan (/ x (* y 2.0)))

simplify734.0ms

Counts

52 → 52

Iterations

Useful iterations: 3 (177.0ms)

Iter	Nodes	Cost
0	77	822
1	139	813
2	372	737
3	1697	733
done	5001	733

prune178.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 28.4b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune30.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 28.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
8.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.8b	(sin (/ x (* y 2.0)))
31.3b	(tan (/ x (* y 2.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `associate-/r` `div-inv` `associate-/l`
2×	`tan-quot` `cbrt-undiv` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `unpow3` `clear-num` `associate-/l/` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

5.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
4.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))

series151.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
37.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
42.0ms	(tan (/ x (* y 2.0)))

simplify726.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	122	2065
1	333	1912
2	1260	1762
done	5000	1762

prune289.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 28.4b

localize15.0ms

Local error

Found 4 expressions with local error:

8.4b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
30.8b	(sin (/ x (* y 2.0)))
30.8b	(sin (/ x (* y 2.0)))
31.0b	(cos (/ x (* y 2.0)))

rewrite16.0ms

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:

10.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(cos (/ x (* y 2.0)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
8.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
11.0ms	(cos (/ x (* y 2.0)))

simplify1.2s

Counts

55 → 55

Iterations

Useful iterations: 3 (363.0ms)

Iter	Nodes	Cost
0	71	905
1	147	719
2	450	548
3	1962	544
done	5000	544

prune162.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 28.4b

regimes413.0ms

Accuracy

35.6% (1.5b remaining)

Error of 27.9b against oracle of 26.3b and baseline of 28.7b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	42
1	22	42
done	22	42

end0.0ms

sample2.8s

Algorithm

intervals

Results

888.0ms	677×	body	2560	valid
825.0ms	1394×	body	1280	valid
341.0ms	980×	body	640	valid
328.0ms	4077×	body	80	valid
148.0ms	569×	body	320	valid
56.0ms	303×	body	160	valid