Details

sample99.0ms

Algorithm

intervals

Results

35.0ms	25×	body	2560	valid
26.0ms	45×	body	1280	valid
11.0ms	32×	body	640	valid
9.0ms	128×	body	80	valid
4.0ms	17×	body	320	valid
2.0ms	9×	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.0b

localize10.0ms

Local error

Found 3 expressions with local error:

7.0b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.2b	(sin (/ x (* y 2.0)))
29.7b	(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)))

series102.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
11.0ms	(sin (/ x (* y 2.0)))
47.0ms	(tan (/ x (* y 2.0)))

simplify1.5s

Counts

58 → 58

Iterations

Useful iterations: 3 (141.0ms)

Iter	Nodes	Cost
0	83	878
1	147	865
2	330	789
3	814	785
4	2543	785
done	5001	785

prune195.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 26.8b

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

prune30.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 26.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(expm1 (sin (/ x (* y 2.0))))
7.0b	(/ (tan (/ x (* y 2.0))) (log1p (expm1 (sin (/ x (* y 2.0))))))
29.2b	(sin (/ x (* y 2.0)))
29.7b	(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`
5×	`log1p-expm1-u`
4×	`pow1` `expm1-log1p-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`tan-quot`
1×	`cbrt-undiv` `expm1-log1p` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/` `expm1-udef`

Counts

4 → 60

Calls

4 calls:

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

series198.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(expm1 (sin (/ x (* y 2.0))))
101.0ms	(/ (tan (/ x (* y 2.0))) (log1p (expm1 (sin (/ x (* y 2.0))))))
10.0ms	(sin (/ x (* y 2.0)))
42.0ms	(tan (/ x (* y 2.0)))

simplify1.5s

Counts

72 → 72

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	99	1100
1	166	995
2	356	905
3	839	901
4	2597	895
done	5001	893

prune226.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 26.7b

localize11.0ms

Local error

Found 4 expressions with local error:

6.9b	(/ (sin (/ x (* y 2.0))) (* (cos (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
29.2b	(sin (/ x (* y 2.0)))
29.2b	(sin (/ x (* y 2.0)))
29.2b	(cos (/ x (* y 2.0)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

28.0ms	(/ (sin (/ x (* y 2.0))) (* (cos (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
5.0ms	(sin (/ x (* y 2.0)))
7.0ms	(sin (/ x (* y 2.0)))
5.0ms	(cos (/ x (* y 2.0)))

series63.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (sin (/ x (* y 2.0))) (* (cos (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
11.0ms	(sin (/ x (* y 2.0)))
11.0ms	(sin (/ x (* y 2.0)))
14.0ms	(cos (/ x (* y 2.0)))

simplify4.5s

Counts

62 → 62

Iterations

Useful iterations: 3 (405.0ms)

Iter	Nodes	Cost
0	71	957
1	142	916
2	396	588
3	1393	585
done	5000	585

prune158.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 26.7b

regimes262.0ms

Accuracy

0% (2.5b remaining)

Error of 28.1b against oracle of 25.6b and baseline of 28.1b

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
done	1	1

end0.0ms

sample2.8s

Algorithm

intervals

Results

879.0ms	685×	body	2560	valid
842.0ms	1398×	body	1280	valid
362.0ms	1008×	body	640	valid
300.0ms	4149×	body	80	valid
117.0ms	486×	body	320	valid
50.0ms	274×	body	160	valid