Details

sample106.0ms

Algorithm

intervals

Results

36.0ms	53×	body	1280	valid
30.0ms	24×	body	2560	valid
10.0ms	30×	body	640	valid
9.0ms	121×	body	80	valid
5.0ms	21×	body	320	valid
2.0ms	7×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	7
1	13	7
2	13	7
done	13	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.3b

localize11.0ms

Local error

Found 3 expressions with local error:

7.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.5b	(sin (/ x (* y 2.0)))
30.9b	(tan (/ x (* y 2.0)))

rewrite21.0ms

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` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 49

Calls

3 calls:

11.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
4.0ms	(tan (/ x (* y 2.0)))

series111.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
12.0ms	(sin (/ x (* y 2.0)))
51.0ms	(tan (/ x (* y 2.0)))

simplify63.0ms

Counts

58 → 58

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	146	485
1	433	441
2	1789	441
3	5001	441
done	5001	441

prune223.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 28.1b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune40.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 28.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(log1p (expm1 (tan (/ x (* y 2.0)))))
7.4b	(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
30.5b	(sin (/ x (* y 2.0)))
30.9b	(tan (/ x (* y 2.0)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
1×	`tan-quot` `cbrt-undiv` `log1p-udef` `frac-2neg` `log1p-expm1` `div-exp` `clear-num` `div-inv`

Counts

4 → 59

Calls

4 calls:

0.0ms	(log1p (expm1 (tan (/ x (* y 2.0)))))
8.0ms	(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(log1p (expm1 (tan (/ x (* y 2.0)))))
117.0ms	(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
11.0ms	(sin (/ x (* y 2.0)))
48.0ms	(tan (/ x (* y 2.0)))

simplify66.0ms

Counts

71 → 71

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	157	605
1	415	531
2	1749	518
3	5001	512
done	5001	512

prune263.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 28.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b	(expm1 (/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))
7.4b	(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
30.5b	(sin (/ x (* y 2.0)))
30.9b	(tan (/ x (* y 2.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
5×	`log1p-expm1-u`
4×	`pow1` `expm1-log1p-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
1×	`tan-quot` `cbrt-undiv` `expm1-log1p` `frac-2neg` `div-exp` `clear-num` `div-inv` `expm1-udef`

Counts

4 → 59

Calls

4 calls:

0.0ms	(expm1 (/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))
12.0ms	(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
4.0ms	(tan (/ x (* y 2.0)))

series345.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(expm1 (/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))
119.0ms	(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
12.0ms	(sin (/ x (* y 2.0)))
46.0ms	(tan (/ x (* y 2.0)))

simplify71.0ms

Counts

71 → 71

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	183	703
1	507	614
2	2002	599
3	5001	589
done	5001	589

prune275.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 28.1b

regimes443.0ms

Accuracy

0% (2.4b remaining)

Error of 28.8b against oracle of 26.5b and baseline of 28.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0
1	1	0
done	1	0

end0.0ms

sample2.8s

Algorithm

intervals

Results

897.0ms	1461×	body	1280	valid
820.0ms	635×	body	2560	valid
378.0ms	979×	body	640	valid
293.0ms	4050×	body	80	valid
144.0ms	598×	body	320	valid
51.0ms	277×	body	160	valid