Details

sample61.0ms

Algorithm

intervals

Results

22.0ms	297×	body	80	valid
9.0ms	21×	body	1280	valid
7.0ms	22×	body	640	valid
3.0ms	14×	body	320	valid
2.0ms	10×	body	160	valid

simplify41.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.6b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* x (pow sin 2.0)) x)))
3.4b	(* (* x (pow sin 2.0)) x)
5.7b	(* x (pow sin 2.0))
19.6b	(* (pow cos 2.0) (* (* x (pow sin 2.0)) x))

rewrite532.0ms

Algorithm

rewrite-expression-head

Rules

122×	`add-exp-log`
82×	`prod-exp`
34×	`add-cbrt-cube`
18×	`pow-to-exp` `pow-exp`
17×	`add-sqr-sqrt`
16×	`div-exp` `cbrt-unprod`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`associate-r` `associate-l`
7×	`unpow-prod-down`
6×	`pow1`
4×	`cbrt-undiv` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l` `unswap-sqr` `sqr-pow`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 115

Calls

4 calls:

95.0ms	(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* x (pow sin 2.0)) x)))
32.0ms	(* (* x (pow sin 2.0)) x)
308.0ms	(* x (pow sin 2.0))
90.0ms	(* (pow cos 2.0) (* (* x (pow sin 2.0)) x))

series1.2s

Counts

4 → 12

Calls

4 calls:

444.0ms	(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* x (pow sin 2.0)) x)))
236.0ms	(* (* x (pow sin 2.0)) x)
182.0ms	(* x (pow sin 2.0))
372.0ms	(* (pow cos 2.0) (* (* x (pow sin 2.0)) x))

simplify61.0ms

Counts: 127 → 127

prune417.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 15.6b

localize35.0ms

Local error

Found 4 expressions with local error:

3.4b	(* (* x (pow sin 2.0)) x)
5.7b	(* x (pow sin 2.0))
6.5b	(* (pow cos (/ 2.0 2)) (* (pow cos (/ 2.0 2)) (* (* x (pow sin 2.0)) x)))
8.1b	(* (pow cos (/ 2.0 2)) (* (* x (pow sin 2.0)) x))

rewrite376.0ms

Algorithm

rewrite-expression-head

Rules

226×	`add-exp-log`
202×	`prod-exp`
50×	`pow-to-exp` `pow-exp`
34×	`add-cbrt-cube`
20×	`cbrt-unprod`
18×	`associate-l`
17×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
10×	`unpow-prod-down`
6×	`pow1`
4×	`*-commutative` `add-log-exp` `sqr-pow`
3×	`unswap-sqr`
1×	`pow-prod-down`

Counts

4 → 146

Calls

4 calls:

31.0ms	(* (* x (pow sin 2.0)) x)
12.0ms	(* x (pow sin 2.0))
225.0ms	(* (pow cos (/ 2.0 2)) (* (pow cos (/ 2.0 2)) (* (* x (pow sin 2.0)) x)))
101.0ms	(* (pow cos (/ 2.0 2)) (* (* x (pow sin 2.0)) x))

series1.1s

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (* x (pow sin 2.0)) x)
147.0ms	(* x (pow sin 2.0))
395.0ms	(* (pow cos (/ 2.0 2)) (* (pow cos (/ 2.0 2)) (* (* x (pow sin 2.0)) x)))
433.0ms	(* (pow cos (/ 2.0 2)) (* (* x (pow sin 2.0)) x))

simplify48.0ms

Counts: 158 → 158

prune355.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 11.2b

localize19.0ms

Local error

Found 4 expressions with local error:

3.3b	(* (* (pow cos (/ 2.0 2)) (* x (pow sin 2.0))) x)
5.7b	(* x (pow sin 2.0))
6.5b	(* (pow cos (/ 2.0 2)) (* (* (pow cos (/ 2.0 2)) (* x (pow sin 2.0))) x))
9.0b	(* (pow cos (/ 2.0 2)) (* x (pow sin 2.0)))

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

226×	`add-exp-log`
202×	`prod-exp`
50×	`pow-to-exp` `pow-exp`
34×	`add-cbrt-cube`
20×	`cbrt-unprod`
18×	`associate-l`
17×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
10×	`unpow-prod-down`
6×	`pow1`
4×	`*-commutative` `add-log-exp` `sqr-pow`
3×	`unswap-sqr`
1×	`pow-prod-down`

Counts

4 → 146

Calls

4 calls:

61.0ms	(* (* (pow cos (/ 2.0 2)) (* x (pow sin 2.0))) x)
12.0ms	(* x (pow sin 2.0))
195.0ms	(* (pow cos (/ 2.0 2)) (* (* (pow cos (/ 2.0 2)) (* x (pow sin 2.0))) x))
30.0ms	(* (pow cos (/ 2.0 2)) (* x (pow sin 2.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

330.0ms	(* (* (pow cos (/ 2.0 2)) (* x (pow sin 2.0))) x)
149.0ms	(* x (pow sin 2.0))
353.0ms	(* (pow cos (/ 2.0 2)) (* (* (pow cos (/ 2.0 2)) (* x (pow sin 2.0))) x))
279.0ms	(* (pow cos (/ 2.0 2)) (* x (pow sin 2.0)))

simplify57.0ms

Counts: 158 → 158

prune421.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ (cos (* 2.0 x)) (* (pow cos (/ 2.0 2)) (* (* (* (pow cos (/ 2.0 2)) x) (pow sin 2.0)) x)))
3.3b	(* (* (* (pow cos (/ 2.0 2)) x) (pow sin 2.0)) x)
6.5b	(* (pow cos (/ 2.0 2)) (* (* (* (pow cos (/ 2.0 2)) x) (pow sin 2.0)) x))
9.5b	(* (* (pow cos (/ 2.0 2)) x) (pow sin 2.0))

rewrite658.0ms

Algorithm

rewrite-expression-head

Rules

416×	`add-exp-log`
343×	`prod-exp`
84×	`pow-to-exp` `pow-exp`
52×	`add-cbrt-cube`
43×	`div-exp`
29×	`cbrt-unprod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
9×	`associate-l`
6×	`pow1` `unpow-prod-down`
5×	`cbrt-undiv`
4×	`add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`sqr-pow`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 186

Calls

4 calls:

255.0ms	(/ (cos (* 2.0 x)) (* (pow cos (/ 2.0 2)) (* (* (* (pow cos (/ 2.0 2)) x) (pow sin 2.0)) x)))
99.0ms	(* (* (* (pow cos (/ 2.0 2)) x) (pow sin 2.0)) x)
242.0ms	(* (pow cos (/ 2.0 2)) (* (* (* (pow cos (/ 2.0 2)) x) (pow sin 2.0)) x))
37.0ms	(* (* (pow cos (/ 2.0 2)) x) (pow sin 2.0))

series1.5s

Counts

4 → 12

Calls

4 calls:

468.0ms	(/ (cos (* 2.0 x)) (* (pow cos (/ 2.0 2)) (* (* (* (pow cos (/ 2.0 2)) x) (pow sin 2.0)) x)))
335.0ms	(* (* (* (pow cos (/ 2.0 2)) x) (pow sin 2.0)) x)
404.0ms	(* (pow cos (/ 2.0 2)) (* (* (* (pow cos (/ 2.0 2)) x) (pow sin 2.0)) x))
316.0ms	(* (* (pow cos (/ 2.0 2)) x) (pow sin 2.0))

simplify86.0ms

Counts: 198 → 198

prune307.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.8b

regimes558.0ms

Accuracy

-261.6% (11.6b remaining)

Error of 19.1b against oracle of 7.5b and baseline of 10.7b

bsearch0.0ms

simplify40.0ms

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.4s	9077×	body	80	valid
984.0ms	808×	body	1280	valid
649.0ms	985×	body	640	valid
170.0ms	547×	body	320	valid
65.0ms	303×	body	160	valid