Details

sample158.0ms

Algorithm

intervals

Results

44.0ms	23×	body	2560	valid
42.0ms	38×	body	1280	valid
20.0ms	136×	body	80	valid
14.0ms	21×	body	640	valid
10.0ms	20×	body	320	valid
7.0ms	18×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.4b

localize18.0ms

Local error

Found 3 expressions with local error:

6.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.1b	(tan (/ x (* y 2.0)))
27.4b	(sin (/ x (* y 2.0)))

rewrite67.0ms

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:

55.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms	(tan (/ x (* y 2.0)))
7.0ms	(sin (/ x (* y 2.0)))

series123.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
53.0ms	(tan (/ x (* y 2.0)))
12.0ms	(sin (/ x (* y 2.0)))

simplify1.8s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
3	1547
2	422
1	152
0	83

prune469.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.0b

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

prune74.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 25.0b

localize40.0ms

Local error

Found 4 expressions with local error:

6.7b	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
27.4b	(cos (/ x (* y 2.0)))
27.4b	(sin (/ x (* y 2.0)))
27.4b	(sin (/ x (* y 2.0)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

26.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
4.0ms	(cos (/ x (* y 2.0)))
4.0ms	(sin (/ x (* y 2.0)))
4.0ms	(sin (/ x (* y 2.0)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
20.0ms	(cos (/ x (* y 2.0)))
11.0ms	(sin (/ x (* y 2.0)))
12.0ms	(sin (/ x (* y 2.0)))

simplify4.1s

Counts

111 → 111

Iterations

Iter	Nodes
done	5011
3	4484
2	1199
1	390
0	167

prune855.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 25.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (cos (/ (/ x y) 2.0)))
0.2b	(log1p (expm1 (/ 1 (cos (/ (/ x y) 2.0)))))
0.7b	(expm1 (/ 1 (cos (/ (/ x y) 2.0))))
27.4b	(cos (/ (/ x y) 2.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

4.0ms	(/ 1 (cos (/ (/ x y) 2.0)))
0.0ms	(log1p (expm1 (/ 1 (cos (/ (/ x y) 2.0)))))
0.0ms	(expm1 (/ 1 (cos (/ (/ x y) 2.0))))
11.0ms	(cos (/ (/ x y) 2.0))

series265.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ 1 (cos (/ (/ x y) 2.0)))
124.0ms	(log1p (expm1 (/ 1 (cos (/ (/ x y) 2.0)))))
97.0ms	(expm1 (/ 1 (cos (/ (/ x y) 2.0))))
15.0ms	(cos (/ (/ x y) 2.0))

simplify4.4s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
5	4354
4	1590
3	671
2	290
1	158
0	91

prune379.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 24.9b

regimes819.0ms

Accuracy

0% (2.5b remaining)

Error of 28.2b against oracle of 25.7b and baseline of 28.2b

bsearch0.0ms

simplify0.0ms

Iterations

Iter	Nodes
done	1
0	1

end0.0ms

sample6.5s

Algorithm

intervals

Results

2.0s	1364×	body	1280	valid
1.9s	648×	body	2560	valid
964.0ms	4143×	body	80	valid
717.0ms	981×	body	640	valid
337.0ms	572×	body	320	valid
158.0ms	292×	body	160	valid