Details

sample111.0ms

Algorithm

intervals

Results

49.0ms	292×	body	80	valid
18.0ms	24×	body	1280	valid
16.0ms	30×	body	640	valid
12.0ms	29×	body	320	valid
1.0ms	6×	body	160	valid

simplify17.0s

Counts: 1 → 1

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.2b

localize30.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (* sin cos) x)
5.1b	(* (* sin cos) x)
0.3b	(* (* (* sin cos) x) (* (* sin cos) x))
0.2b	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

128×	`pow1`
97×	`add-cbrt-cube` `add-exp-log`
72×	`pow-prod-down`
60×	`prod-exp` `cbrt-unprod`
10×	`cbrt-undiv` `div-exp`
9×	`pow-sqr` `pow-prod-up`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
4×	`insert-posit16` `add-log-exp`
3×	`times-frac` `pow-plus` `associate-l` `-commutative` `associate-/l`
1×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `div-sub` `swap-sqr` `cos-2` `div-inv`

Counts

4 → 138

Calls

4 calls:

Slowest

144.0ms	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
118.0ms	(* (* (* sin cos) x) (* (* sin cos) x))
20.0ms	(* (* sin cos) x)
15.0ms	(* (* sin cos) x)

series234.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

101.0ms	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
64.0ms	(* (* (* sin cos) x) (* (* sin cos) x))
35.0ms	(* (* sin cos) x)
34.0ms	(* (* sin cos) x)

simplify775.0ms

Counts: 150 → 150

prune1.6s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

4.1b	(* cos (* sin x))
4.1b	(* cos (* sin x))
0.3b	(* (* cos (* sin x)) (* cos (* sin x)))
0.2b	(/ (cos (* 2 x)) (* (* cos (* sin x)) (* cos (* sin x))))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

128×	`pow1`
97×	`add-cbrt-cube` `add-exp-log`
72×	`pow-prod-down`
60×	`prod-exp` `cbrt-unprod`
10×	`cbrt-undiv` `div-exp`
9×	`pow-sqr` `pow-prod-up`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`times-frac` `pow-plus` `associate-r` `-commutative` `associate-/l`
1×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `div-sub` `swap-sqr` `cos-2` `div-inv`

Counts

4 → 138

Calls

4 calls:

Slowest

97.0ms	(/ (cos (* 2 x)) (* (* cos (* sin x)) (* cos (* sin x))))
83.0ms	(* (* cos (* sin x)) (* cos (* sin x)))
13.0ms	(* cos (* sin x))
13.0ms	(* cos (* sin x))

series307.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

131.0ms	(/ (cos (* 2 x)) (* (* cos (* sin x)) (* cos (* sin x))))
101.0ms	(* (* cos (* sin x)) (* cos (* sin x)))
37.0ms	(* cos (* sin x))
37.0ms	(* cos (* sin x))

simplify610.0ms

Counts: 150 → 150

prune1.7s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

4.1b	(* cos (* sin x))
4.1b	(* cos (* sin x))
4.1b	(* cos (* sin x))
4.1b	(* cos (* sin x))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `*-commutative` `insert-posit16` `add-log-exp`

Counts

4 → 76

Calls

4 calls:

Slowest

17.0ms	(* cos (* sin x))
15.0ms	(* cos (* sin x))
14.0ms	(* cos (* sin x))
14.0ms	(* cos (* sin x))

series167.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

52.0ms	(* cos (* sin x))
46.0ms	(* cos (* sin x))
40.0ms	(* cos (* sin x))
29.0ms	(* cos (* sin x))

simplify1.9s

Counts: 88 → 88

prune1.1s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

21.6b	(cbrt (/ (cos (* 2 x)) (* (* cos (* sin x)) (* cos (* sin x)))))
21.6b	(cbrt (/ (cos (* 2 x)) (* (* cos (* sin x)) (* cos (* sin x)))))
21.6b	(cbrt (/ (cos (* 2 x)) (* (* cos (* sin x)) (* cos (* sin x)))))
4.1b	(* cos (* sin x))

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`pow1` `times-frac` `add-cbrt-cube` `add-exp-log`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative`

Counts

4 → 70

Calls

4 calls:

Slowest

109.0ms	(cbrt (/ (cos (* 2 x)) (* (* cos (* sin x)) (* cos (* sin x)))))
82.0ms	(cbrt (/ (cos (* 2 x)) (* (* cos (* sin x)) (* cos (* sin x)))))
80.0ms	(cbrt (/ (cos (* 2 x)) (* (* cos (* sin x)) (* cos (* sin x)))))
14.0ms	(* cos (* sin x))

series638.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

214.0ms	(cbrt (/ (cos (* 2 x)) (* (* cos (* sin x)) (* cos (* sin x)))))
202.0ms	(cbrt (/ (cos (* 2 x)) (* (* cos (* sin x)) (* cos (* sin x)))))
195.0ms	(cbrt (/ (cos (* 2 x)) (* (* cos (* sin x)) (* cos (* sin x)))))
27.0ms	(* cos (* sin x))

simplify1.2s

Counts: 82 → 82

prune1.1s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes327.0ms

Accuracy

0% (2.7b remaining)

Error of 2.8b against oracle of 0.1b and baseline of 2.8b

bsearch2.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

1.9s	9044×	body	80	valid
1.1s	849×	body	1280	valid
877.0ms	626×	body	320	valid
862.0ms	957×	body	640	valid
109.0ms	284×	body	160	valid