Details

sample163.0ms

Algorithm

intervals

Results

42.0ms	50×	body	1280	valid
41.0ms	40×	body	640	valid
39.0ms	25×	body	2560	valid
14.0ms	122×	body	80	valid
4.0ms	12×	body	320	valid
2.0ms	7×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	11
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.2b

localize17.0ms

Local error

Found 3 expressions with local error:

6.1b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.3b	(sin (/ x (* y 2.0)))
31.1b	(tan (/ x (* y 2.0)))

rewrite20.0ms

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:

9.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
5.0ms	(tan (/ x (* y 2.0)))

series153.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
13.0ms	(sin (/ x (* y 2.0)))
79.0ms	(tan (/ x (* y 2.0)))

simplify1.4s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
3	3100
2	502
1	152
0	83

prune476.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 28.5b

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

prune90.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 28.5b

localize69.0ms

Local error

Found 4 expressions with local error:

30.3b	(sin (/ x (* y 2.0)))
31.1b	(tan (/ x (* y 2.0)))
31.1b	(tan (/ x (* y 2.0)))
31.1b	(tan (/ x (* y 2.0)))

rewrite25.0ms

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

Counts

4 → 39

Calls

4 calls:

8.0ms	(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)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sin (/ x (* y 2.0)))
71.0ms	(tan (/ x (* y 2.0)))
64.0ms	(tan (/ x (* y 2.0)))
66.0ms	(tan (/ x (* y 2.0)))

simplify1.8s

Counts

51 → 51

Iterations

Iter	Nodes
done	5000
4	2486
3	498
2	139
1	62
0	37

prune476.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 28.4b

localize69.0ms

Local error

Found 4 expressions with local error:

30.3b	(sin (/ x (* y 2.0)))
30.9b	(cos (/ x (* y 2.0)))
31.1b	(tan (/ x (* y 2.0)))
31.1b	(tan (/ x (* y 2.0)))

rewrite24.0ms

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` `log1p-expm1-u` `add-log-exp`
2×	`tan-quot`

Counts

4 → 38

Calls

4 calls:

7.0ms	(sin (/ x (* y 2.0)))
8.0ms	(cos (/ x (* y 2.0)))
6.0ms	(tan (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sin (/ x (* y 2.0)))
17.0ms	(cos (/ x (* y 2.0)))
63.0ms	(tan (/ x (* y 2.0)))
54.0ms	(tan (/ x (* y 2.0)))

simplify1.0s

Counts

50 → 50

Iterations

Iter	Nodes
done	5002
3	1952
2	285
1	90
0	54

prune389.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 28.2b

regimes1.5s

Accuracy

0% (2.7b remaining)

Error of 28.4b against oracle of 25.7b and baseline of 28.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	1
0	1

end0.0ms

sample6.6s

Algorithm

intervals

Results

2.1s	653×	body	2560	valid
1.6s	1317×	body	1280	valid
1.4s	1035×	body	640	valid
773.0ms	4130×	body	80	valid
321.0ms	572×	body	320	valid
110.0ms	293×	body	160	valid