Details

sample137.0ms

Algorithm

intervals

Results

38.0ms	47×	body	1280	valid
35.0ms	21×	body	2560	valid
28.0ms	131×	body	80	valid
14.0ms	28×	body	640	valid
6.0ms	18×	body	320	valid
3.0ms	11×	body	160	valid

simplify16.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.7b

localize12.0ms

Local error

Found 3 expressions with local error:

6.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.5b	(sin (/ x (* y 2.0)))
28.8b	(tan (/ x (* y 2.0)))

rewrite22.0ms

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)))

series143.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
11.0ms	(sin (/ x (* y 2.0)))
64.0ms	(tan (/ x (* y 2.0)))

simplify535.0ms

Counts: 52 → 52

prune270.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 26.1b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify18.0ms

Counts: 0 → 0

prune38.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 26.1b

localize25.0ms

Local error

Found 4 expressions with local error:

6.2b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
28.5b	(sin (/ x (* y 2.0)))
28.5b	(sin (/ x (* y 2.0)))
28.7b	(cos (/ x (* y 2.0)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 43

Calls

4 calls:

31.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
8.0ms	(sin (/ x (* y 2.0)))
9.0ms	(sin (/ x (* y 2.0)))
9.0ms	(cos (/ x (* y 2.0)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
10.0ms	(sin (/ x (* y 2.0)))
14.0ms	(sin (/ x (* y 2.0)))
14.0ms	(cos (/ x (* y 2.0)))

simplify891.0ms

Counts: 55 → 55

prune219.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 26.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (cos (/ x (* y 2.0))))
0.2b	(cbrt (pow (/ 1 (cos (/ x (* y 2.0)))) 3))
0.3b	(pow (/ 1 (cos (/ x (* y 2.0)))) 3)
28.7b	(cos (/ x (* y 2.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

6.0ms	(/ 1 (cos (/ x (* y 2.0))))
6.0ms	(cbrt (pow (/ 1 (cos (/ x (* y 2.0)))) 3))
8.0ms	(pow (/ 1 (cos (/ x (* y 2.0)))) 3)
6.0ms	(cos (/ x (* y 2.0)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ 1 (cos (/ x (* y 2.0))))
42.0ms	(cbrt (pow (/ 1 (cos (/ x (* y 2.0)))) 3))
71.0ms	(pow (/ 1 (cos (/ x (* y 2.0)))) 3)
22.0ms	(cos (/ x (* y 2.0)))

simplify505.0ms

Counts: 142 → 142

prune313.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 26.0b

regimes523.0ms

Accuracy

0% (2.4b remaining)

Error of 29.0b against oracle of 26.6b and baseline of 29.0b

bsearch0.0ms

simplify15.0ms

end0.0ms

sample5.4s

Algorithm

intervals

Results

1.5s	1013×	body	640	valid
1.3s	1345×	body	1280	valid
1.3s	716×	body	2560	valid
640.0ms	4013×	body	80	valid
290.0ms	582×	body	320	valid
94.0ms	331×	body	160	valid