Details

sample137.0ms

Algorithm

intervals

Results

53.0ms	24×	body	2560	valid
30.0ms	36×	body	1280	valid
18.0ms	34×	body	640	valid
16.0ms	143×	body	80	valid
3.0ms	12×	body	160	valid
3.0ms	7×	body	320	valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.2b

localize14.0ms

Local error

Found 3 expressions with local error:

8.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
25.5b	(sin (/ x (* y 2.0)))
26.3b	(tan (/ x (* y 2.0)))

rewrite29.0ms

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:

16.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
7.0ms	(sin (/ x (* y 2.0)))
5.0ms	(tan (/ x (* y 2.0)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
70.0ms	(tan (/ x (* y 2.0)))

simplify69.0ms

Counts: 52 → 52

prune200.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 23.2b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts: 0 → 0

prune52.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 23.2b

localize25.0ms

Local error

Found 4 expressions with local error:

8.4b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
25.5b	(sin (/ x (* y 2.0)))
25.5b	(sin (/ x (* y 2.0)))
26.0b	(cos (/ x (* y 2.0)))

rewrite72.0ms

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:

48.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
8.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
6.0ms	(cos (/ x (* y 2.0)))

series76.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
12.0ms	(sin (/ x (* y 2.0)))
19.0ms	(sin (/ x (* y 2.0)))
21.0ms	(cos (/ x (* y 2.0)))

simplify63.0ms

Counts: 55 → 55

prune260.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 23.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (cos (/ x (* y 2.0))))
0.3b	(log (pow (exp 1) (/ 1 (cos (/ x (* y 2.0))))))
0.3b	(pow (exp 1) (/ 1 (cos (/ x (* y 2.0)))))
26.0b	(cos (/ x (* y 2.0)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

8.0ms	(/ 1 (cos (/ x (* y 2.0))))
7.0ms	(log (pow (exp 1) (/ 1 (cos (/ x (* y 2.0))))))
9.0ms	(pow (exp 1) (/ 1 (cos (/ x (* y 2.0)))))
8.0ms	(cos (/ x (* y 2.0)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ 1 (cos (/ x (* y 2.0))))
116.0ms	(log (pow (exp 1) (/ 1 (cos (/ x (* y 2.0))))))
110.0ms	(pow (exp 1) (/ 1 (cos (/ x (* y 2.0)))))
17.0ms	(cos (/ x (* y 2.0)))

simplify44.0ms

Counts: 98 → 98

prune289.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 23.1b

regimes384.0ms

Accuracy

36.1% (1.6b remaining)

Error of 27.7b against oracle of 26.1b and baseline of 28.5b

bsearch2.0ms

simplify72.0ms

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.0s	685×	body	2560	valid
1.5s	1400×	body	1280	valid
666.0ms	4092×	body	80	valid
639.0ms	979×	body	640	valid
342.0ms	523×	body	320	valid
101.0ms	321×	body	160	valid