Details

sample162.0ms

Algorithm

intervals

Results

60.0ms	51×	body	1280	valid
37.0ms	18×	body	2560	valid
21.0ms	34×	body	640	valid
17.0ms	126×	body	80	valid
8.0ms	18×	body	320	valid
3.0ms	9×	body	160	valid

simplify16.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.8b

localize12.0ms

Local error

Found 3 expressions with local error:

6.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.1b	(sin (/ x (* y 2.0)))
29.7b	(tan (/ x (* y 2.0)))

rewrite23.0ms

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:

12.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
4.0ms	(tan (/ x (* y 2.0)))

series151.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
14.0ms	(sin (/ x (* y 2.0)))
68.0ms	(tan (/ x (* y 2.0)))

simplify536.0ms

Counts: 52 → 52

prune497.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 27.4b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify12.0ms

Counts: 0 → 0

prune45.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 27.4b

localize21.0ms

Local error

Found 4 expressions with local error:

29.1b	(sin (/ x (* y 2.0)))
29.7b	(tan (/ x (* y 2.0)))
29.7b	(tan (/ x (* y 2.0)))
29.7b	(tan (/ x (* y 2.0)))

rewrite19.0ms

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:

8.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))
4.0ms	(tan (/ x (* y 2.0)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sin (/ x (* y 2.0)))
66.0ms	(tan (/ x (* y 2.0)))
58.0ms	(tan (/ x (* y 2.0)))
63.0ms	(tan (/ x (* y 2.0)))

simplify762.0ms

Counts: 43 → 43

prune297.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 27.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
6.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.1b	(sin (/ x (* y 2.0)))
29.7b	(tan (/ x (* y 2.0)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `associate-/r` `div-inv` `associate-/l`
2×	`tan-quot` `cbrt-undiv` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `unpow3` `clear-num` `associate-/l/` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

19.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
12.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series206.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
50.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
14.0ms	(sin (/ x (* y 2.0)))
70.0ms	(tan (/ x (* y 2.0)))

simplify691.0ms

Counts: 101 → 101

prune320.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 27.3b

regimes556.0ms

Accuracy

35.4% (1.6b remaining)

Error of 27.9b against oracle of 26.4b and baseline of 28.8b

bsearch3.0ms

simplify2.1s

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.0s	1436×	body	1280	valid
1.3s	986×	body	640	valid
1.2s	636×	body	2560	valid
715.0ms	4050×	body	80	valid
252.0ms	579×	body	320	valid
108.0ms	313×	body	160	valid