Details

sample185.0ms

Algorithm

intervals

Results

56.0ms	25×	body	2560	valid
47.0ms	43×	body	1280	valid
22.0ms	29×	body	640	valid
20.0ms	130×	body	80	valid
11.0ms	20×	body	320	valid
3.0ms	9×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.5b

localize88.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (* y 2.0))
7.9b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.7b	(sin (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
11×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*`
4×	`expm1-log1p-u` `pow1` `associate-/r*` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`clear-num` `frac-2neg` `tan-quot` `div-inv`
1×	`prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 76

Calls

4 calls:

10.0ms	(/ x (* y 2.0))
16.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
7.0ms	(tan (/ x (* y 2.0)))

series727.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ x (* y 2.0))
128.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
19.0ms	(sin (/ x (* y 2.0)))
545.0ms	(tan (/ x (* y 2.0)))

simplify5.3s

Counts

88 → 88

Iterations

Iter	Nodes
done	5006
3	4133
2	773
1	239
0	129

prune1.4s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 25.6b

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

prune225.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 25.6b

localize242.0ms

Local error

Found 4 expressions with local error:

28.7b	(sin (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))

rewrite47.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot`

Counts

4 → 43

Calls

4 calls:

15.0ms	(sin (/ x (* y 2.0)))
10.0ms	(tan (/ x (* y 2.0)))
10.0ms	(tan (/ x (* y 2.0)))
10.0ms	(tan (/ x (* y 2.0)))

series369.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(sin (/ x (* y 2.0)))
113.0ms	(tan (/ x (* y 2.0)))
110.0ms	(tan (/ x (* y 2.0)))
120.0ms	(tan (/ x (* y 2.0)))

simplify4.4s

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
4	1416
3	434
2	139
1	64
0	39

prune971.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 25.6b

localize228.0ms

Local error

Found 4 expressions with local error:

28.7b	(sin (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))

rewrite22.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot`

Counts

4 → 43

Calls

4 calls:

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

series357.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(sin (/ x (* y 2.0)))
115.0ms	(tan (/ x (* y 2.0)))
137.0ms	(tan (/ x (* y 2.0)))
78.0ms	(tan (/ x (* y 2.0)))

simplify4.6s

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
4	1416
3	434
2	139
1	64
0	39

prune759.0ms

Pruning

18 alts after pruning (15 fresh and 3 done)

Merged error: 25.6b

regimes1.9s

Accuracy

0% (3.1b remaining)

Error of 28.4b against oracle of 25.3b and baseline of 28.4b

bsearch0.0ms

simplify0.0ms

Iterations

Iter	Nodes
done	1
0	1

end0.0ms

sample6.7s

Algorithm

intervals

Results

1.7s	1391×	body	1280	valid
1.6s	655×	body	2560	valid
1.3s	1009×	body	640	valid
828.0ms	4095×	body	80	valid
791.0ms	571×	body	320	valid
97.0ms	279×	body	160	valid