Details

sample139.0ms

Algorithm

intervals

Results

46.0ms	25×	body	2560	valid
36.0ms	42×	body	1280	valid
20.0ms	37×	body	640	valid
15.0ms	128×	body	80	valid
5.0ms	13×	body	320	valid
3.0ms	11×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.9b

localize57.0ms

Local error

Found 3 expressions with local error:

6.0b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.7b	(sin (/ x (* y 2.0)))
29.8b	(tan (/ x (* y 2.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

17.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
7.0ms	(sin (/ x (* y 2.0)))
5.0ms	(tan (/ x (* y 2.0)))

series150.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
16.0ms	(sin (/ x (* y 2.0)))
64.0ms	(tan (/ x (* y 2.0)))

simplify1.4s

Counts

58 → 58

Iterations

Iter	Nodes
done	5005
3	1539
2	421
1	152
0	83

prune406.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 27.3b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune73.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 27.3b

localize91.0ms

Local error

Found 4 expressions with local error:

29.7b	(sin (/ x (* y 2.0)))
29.8b	(tan (/ x (* y 2.0)))
29.8b	(tan (/ x (* y 2.0)))
29.8b	(tan (/ x (* y 2.0)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot`

Counts

4 → 39

Calls

4 calls:

4.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sin (/ x (* y 2.0)))
67.0ms	(tan (/ x (* y 2.0)))
53.0ms	(tan (/ x (* y 2.0)))
61.0ms	(tan (/ x (* y 2.0)))

simplify2.1s

Counts

51 → 51

Iterations

Iter	Nodes
done	5000
4	1580
3	444
2	137
1	62
0	37

prune387.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 27.2b

localize82.0ms

Local error

Found 4 expressions with local error:

29.7b	(sin (/ x (* y 2.0)))
29.8b	(tan (/ x (* y 2.0)))
29.8b	(tan (/ x (* y 2.0)))
29.8b	(tan (/ x (* y 2.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot`

Counts

4 → 39

Calls

4 calls:

6.0ms	(sin (/ x (* y 2.0)))
4.0ms	(tan (/ x (* y 2.0)))
4.0ms	(tan (/ x (* y 2.0)))
5.0ms	(tan (/ x (* y 2.0)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sin (/ x (* y 2.0)))
54.0ms	(tan (/ x (* y 2.0)))
58.0ms	(tan (/ x (* y 2.0)))
56.0ms	(tan (/ x (* y 2.0)))

simplify2.7s

Counts

51 → 51

Iterations

Iter	Nodes
done	5000
4	1580
3	444
2	137
1	62
0	37

prune394.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 27.2b

regimes703.0ms

Accuracy

0% (2.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	1
0	1

end0.0ms

sample6.7s

Algorithm

intervals

Results

2.1s	678×	body	2560	valid
1.8s	1368×	body	1280	valid
1.3s	1003×	body	640	valid
824.0ms	4066×	body	80	valid
268.0ms	584×	body	320	valid
155.0ms	301×	body	160	valid