Details

sample182.0ms

Algorithm

intervals

Results

46.0ms	22×	body	2560	valid
37.0ms	43×	body	640	valid
33.0ms	30×	body	1280	valid
28.0ms	21×	body	320	valid
22.0ms	133×	body	80	valid
3.0ms	7×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.0b

localize16.0ms

Local error

Found 3 expressions with local error:

8.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.5b	(tan (/ x (* y 2.0)))
28.6b	(sin (/ x (* y 2.0)))

rewrite37.0ms

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` `insert-posit16` `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 → 52

Calls

3 calls:

27.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms	(tan (/ x (* y 2.0)))
5.0ms	(sin (/ x (* y 2.0)))

series127.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
55.0ms	(tan (/ x (* y 2.0)))
12.0ms	(sin (/ x (* y 2.0)))

simplify776.0ms

Counts

61 → 61

Iterations

Iter	Nodes
done	2030
3	1542
2	423
1	155
0	86

prune391.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 26.0b

localize0.0ms

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

prune67.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 26.0b

localize59.0ms

Local error

Found 4 expressions with local error:

28.5b	(tan (/ x (* y 2.0)))
28.6b	(sin (/ x (* y 2.0)))
28.6b	(sin (/ x (* y 2.0)))
28.6b	(sin (/ x (* y 2.0)))

rewrite42.0ms

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`
1×	`tan-quot`

Counts

4 → 41

Calls

4 calls:

6.0ms	(tan (/ x (* y 2.0)))
10.0ms	(sin (/ x (* y 2.0)))
16.0ms	(sin (/ x (* y 2.0)))
9.0ms	(sin (/ x (* y 2.0)))

series106.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(tan (/ x (* y 2.0)))
19.0ms	(sin (/ x (* y 2.0)))
18.0ms	(sin (/ x (* y 2.0)))
19.0ms	(sin (/ x (* y 2.0)))

simplify800.0ms

Counts

53 → 53

Iterations

Iter	Nodes
done	2011
4	1413
3	434
2	139
1	64
0	39

prune377.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 25.9b

localize43.0ms

Local error

Found 4 expressions with local error:

28.5b	(tan (/ x (* y 2.0)))
28.6b	(sin (/ x (* y 2.0)))
28.6b	(sin (/ x (* y 2.0)))
28.6b	(sin (/ x (* y 2.0)))

rewrite27.0ms

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`
1×	`tan-quot`

Counts

4 → 41

Calls

4 calls:

6.0ms	(tan (/ x (* y 2.0)))
11.0ms	(sin (/ x (* y 2.0)))
5.0ms	(sin (/ x (* y 2.0)))
5.0ms	(sin (/ x (* y 2.0)))

series106.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(tan (/ x (* y 2.0)))
12.0ms	(sin (/ x (* y 2.0)))
11.0ms	(sin (/ x (* y 2.0)))
14.0ms	(sin (/ x (* y 2.0)))

simplify920.0ms

Counts

53 → 53

Iterations

Iter	Nodes
done	2011
4	1413
3	434
2	139
1	64
0	39

prune472.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 25.9b

regimes658.0ms

Accuracy

40.4% (1.5b remaining)

Error of 27.5b against oracle of 26.0b and baseline of 28.5b

bsearch2.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	22
1	22
0	19

end0.0ms

sample7.7s

Algorithm

intervals

Results

2.5s	1371×	body	1280	valid
1.7s	672×	body	2560	valid
1.4s	984×	body	640	valid
1.2s	4098×	body	80	valid
433.0ms	570×	body	320	valid
172.0ms	305×	body	160	valid