Details

sample113.0ms

Algorithm

intervals

Results

40.0ms	53×	body	1280	valid
29.0ms	20×	body	2560	valid
14.0ms	137×	body	80	valid
10.0ms	23×	body	640	valid
5.0ms	16×	body	320	valid
2.0ms	7×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	11
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.3b

localize47.0ms

Local error

Found 3 expressions with local error:

8.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.5b	(sin (/ x (* y 2.0)))
27.0b	(tan (/ x (* y 2.0)))

rewrite18.0ms

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×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate-/l/`

Counts

3 → 43

Calls

3 calls:

8.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
6.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series133.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
14.0ms	(sin (/ x (* y 2.0)))
54.0ms	(tan (/ x (* y 2.0)))

simplify1.3s

Counts

52 → 52

Iterations

Iter	Nodes
done	5002
3	3170
2	494
1	144
0	77

prune349.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 24.9b

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

prune53.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 24.9b

localize48.0ms

Local error

Found 4 expressions with local error:

8.2b	(/ (sin (/ x (* y 2.0))) (* (cos (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
26.5b	(sin (/ x (* y 2.0)))
26.5b	(sin (/ x (* 2.0 y)))
26.9b	(cos (/ x (* 2.0 y)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv`

Counts

4 → 42

Calls

4 calls:

33.0ms	(/ (sin (/ x (* y 2.0))) (* (cos (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
5.0ms	(sin (/ x (* y 2.0)))
6.0ms	(sin (/ x (* 2.0 y)))
6.0ms	(cos (/ x (* 2.0 y)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (sin (/ x (* y 2.0))) (* (cos (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
17.0ms	(sin (/ x (* y 2.0)))
14.0ms	(sin (/ x (* 2.0 y)))
18.0ms	(cos (/ x (* 2.0 y)))

simplify2.4s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
3	3635
2	599
1	152
0	75

prune279.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 24.9b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (/ (cos (/ (/ x 2.0) y)) 1))
26.9b	(cos (/ (/ x 2.0) y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
44×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`add-exp-log`
13×	`associate-/r*`
12×	`div-exp`
7×	`add-cbrt-cube`
6×	`1-exp`
5×	`div-inv`
3×	`pow1` `cbrt-undiv` `rec-exp` `associate-/l*`
2×	`add-log-exp`
1×	`clear-num` `frac-2neg` `associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 86

Calls

2 calls:

9.0ms	(/ 1 (/ (cos (/ (/ x 2.0) y)) 1))
9.0ms	(cos (/ (/ x 2.0) y))

series35.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ 1 (/ (cos (/ (/ x 2.0) y)) 1))
13.0ms	(cos (/ (/ x 2.0) y))

simplify1.5s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	2412
1	364
0	143

prune214.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 24.8b

regimes246.0ms

Accuracy

0% (2.4b remaining)

Error of 28.4b against oracle of 26.0b and baseline of 28.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample5.5s

Algorithm

intervals

Results

1.8s	1429×	body	1280	valid
1.7s	645×	body	2560	valid
788.0ms	4118×	body	80	valid
538.0ms	971×	body	640	valid
365.0ms	559×	body	320	valid
125.0ms	278×	body	160	valid