Details

sample218.0ms

Algorithm

intervals

Results

60.0ms	46×	body	1280	valid
42.0ms	16×	body	2560	valid
35.0ms	131×	body	80	valid
31.0ms	37×	body	640	valid
14.0ms	16×	body	320	valid
4.0ms	10×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.7b

localize39.0ms

Local error

Found 3 expressions with local error:

7.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.2b	(sin (/ x (* y 2.0)))
28.4b	(tan (/ x (* y 2.0)))

rewrite183.0ms

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` `associate-/r` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 43

Calls

3 calls:

159.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
7.0ms	(tan (/ x (* y 2.0)))

series1.4s

Counts

3 → 9

Calls

3 calls:

1.3s	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
22.0ms	(sin (/ x (* y 2.0)))
78.0ms	(tan (/ x (* y 2.0)))

simplify4.1s

Counts

52 → 52

Iterations

Iter	Nodes
done	5043
3	1546
2	412
1	144
0	77

prune1.5s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 25.8b

localize12.0ms

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify6.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune245.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 25.8b

localize87.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 0.125 (/ x y)) (/ x y))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
10×	`prod-exp` `cbrt-unprod`
9×	`times-frac`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
5×	`cbrt-undiv` `div-exp`
3×	`associate-*r/` `pow-prod-down`
1×	`frac-times` `associate-l` `associate-l/` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 39

Calls

1 calls:

149.0ms

(* (* 0.125 (/ x y)) (/ x y))

series81.0ms

Counts

1 → 3

Calls

1 calls:

81.0ms

(* (* 0.125 (/ x y)) (/ x y))

simplify7.3s

Counts

42 → 42

Iterations

Iter	Nodes
done	5001
2	1272
1	273
0	86

prune895.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 25.8b

localize121.0ms

Local error

Found 4 expressions with local error:

28.2b	(sin (/ x (* y 2.0)))
28.4b	(tan (/ x (* y 2.0)))
28.4b	(tan (/ x (* y 2.0)))
28.4b	(tan (/ x (* y 2.0)))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 31

Calls

4 calls:

11.0ms	(sin (/ x (* y 2.0)))
7.0ms	(tan (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))
214.0ms	(tan (/ x (* y 2.0)))

series711.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sin (/ x (* y 2.0)))
154.0ms	(tan (/ x (* y 2.0)))
290.0ms	(tan (/ x (* y 2.0)))
247.0ms	(tan (/ x (* y 2.0)))

simplify10.8s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
4	1561
3	443
2	129
1	57
0	33

prune532.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 25.7b

regimes2.5s

Accuracy

37.3% (1.6b remaining)

Error of 28.0b against oracle of 26.4b and baseline of 28.9b

bsearch3.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	15

end0.0ms

sample18.7s

Algorithm

intervals

Results

4.5s	4055×	body	80	valid
4.5s	1001×	body	640	valid
4.3s	1468×	body	1280	valid
3.2s	652×	body	2560	valid
1.5s	552×	body	320	valid
143.0ms	272×	body	160	valid