Details

sample145.0ms

Algorithm

intervals

Results

66.0ms	315×	body	80	valid
23.0ms	32×	body	640	valid
21.0ms	22×	body	1280	valid
9.0ms	18×	body	320	valid
3.0ms	6×	body	160	valid

simplify16.4s

Counts: 1 → 1

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize17.0ms

Local error

Found 4 expressions with local error:

3.7b	(* (* sin cos) x)
3.7b	(* (* sin cos) x)
0.8b	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
0.3b	(* (* (* sin cos) x) (* (* sin cos) x))

rewrite230.0ms

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

108.0ms	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
89.0ms	(* (* (* sin cos) x) (* (* sin cos) x))
16.0ms	(* (* sin cos) x)
13.0ms	(* (* sin cos) x)

series217.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

84.0ms	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
76.0ms	(* (* (* sin cos) x) (* (* sin cos) x))
28.0ms	(* (* sin cos) x)
28.0ms	(* (* sin cos) x)

simplify913.0ms

Counts: 150 → 150

prune1.6s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

3.7b	(* (* sin cos) x)
3.7b	(* (* sin cos) x)
0.7b	(/ (cos (* 2 x)) (* (* sin cos) x))
0.7b	(/ 1 (* (* sin cos) x))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
32×	`add-cbrt-cube`
20×	`pow1`
18×	`prod-exp`
12×	`cbrt-unprod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`div-exp` `pow-prod-down`
6×	`cbrt-undiv` `times-frac` `associate-r` `associate-/l*`
4×	`insert-posit16` `add-log-exp`
3×	`rec-exp` `1-exp` `pow-flip`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-l` `-commutative` `div-inv`
1×	`div-sub` `cos-2` `inv-pow`

Counts

4 → 97

Calls

4 calls:

Slowest

27.0ms	(/ (cos (* 2 x)) (* (* sin cos) x))
25.0ms	(/ 1 (* (* sin cos) x))
22.0ms	(* (* sin cos) x)
14.0ms	(* (* sin cos) x)

series150.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

51.0ms	(/ (cos (* 2 x)) (* (* sin cos) x))
44.0ms	(* (* sin cos) x)
31.0ms	(* (* sin cos) x)
24.0ms	(/ 1 (* (* sin cos) x))

simplify3.1s

Counts: 109 → 109

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

3.7b	(* (* sin cos) x)
3.7b	(* (* sin cos) x)
0.7b	(/ 1 (/ (* (* sin cos) x) (cos (* 2 x))))
0.7b	(/ 1 (* (* sin cos) x))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-exp-log`
37×	`add-cbrt-cube`
36×	`times-frac`
24×	`add-sqr-sqrt` `*-un-lft-identity` `prod-exp` `add-cube-cbrt`
23×	`div-exp`
21×	`pow1`
12×	`cbrt-unprod`
10×	`cbrt-undiv`
9×	`pow-prod-down`
8×	`associate-/r*`
7×	`rec-exp` `1-exp`
6×	`associate-r` `div-inv` `associate-/l*`
4×	`insert-posit16` `pow-flip` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-l` `*-commutative` `inv-pow`
1×	`associate-/r/`

Counts

4 → 133

Calls

4 calls:

Slowest

50.0ms	(/ 1 (* (* sin cos) x))
47.0ms	(/ 1 (/ (* (* sin cos) x) (cos (* 2 x))))
28.0ms	(* (* sin cos) x)
20.0ms	(* (* sin cos) x)

series216.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

120.0ms	(/ 1 (/ (* (* sin cos) x) (cos (* 2 x))))
36.0ms	(* (* sin cos) x)
32.0ms	(* (* sin cos) x)
28.0ms	(/ 1 (* (* sin cos) x))

simplify785.0ms

Counts: 145 → 145

prune1.8s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

3.7b	(* (* sin cos) x)
3.1b	(* (* (/ 1 (* sin cos)) (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (/ 1 (/ x (cbrt (cos (* 2 x))))))
0.8b	(/ 1 (* sin cos))
0.7b	(/ 1 (* (* sin cos) x))

rewrite407.0ms

Algorithm

rewrite-expression-head

Rules

543×	`add-exp-log`
309×	`prod-exp`
171×	`div-exp`
126×	`times-frac`
106×	`add-cbrt-cube`
74×	`associate-r`
71×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
63×	`rec-exp` `1-exp`
61×	`cbrt-unprod`
38×	`cbrt-undiv`
27×	`cbrt-prod` `pow1`
13×	`pow-prod-down`
6×	`div-inv` `associate-/l*`
5×	`pow-flip`
4×	`insert-posit16` `add-log-exp`
3×	`associate-*l/`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-l` `-commutative` `inv-pow`
1×	`frac-times` `associate-*r/` `associate-/r/` `un-div-inv`

Counts

4 → 296

Calls

4 calls:

Slowest

301.0ms	(* (* (/ 1 (* sin cos)) (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (/ 1 (/ x (cbrt (cos (* 2 x))))))
46.0ms	(/ 1 (* (* sin cos) x))
28.0ms	(* (* sin cos) x)
18.0ms	(/ 1 (* sin cos))

series211.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

115.0ms	(* (* (/ 1 (* sin cos)) (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (/ 1 (/ x (cbrt (cos (* 2 x))))))
46.0ms	(* (* sin cos) x)
32.0ms	(/ 1 (* (* sin cos) x))
18.0ms	(/ 1 (* sin cos))

simplify2.4s

Counts: 308 → 308

prune4.7s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes329.0ms

Accuracy

0% (2.4b remaining)

Error of 2.5b against oracle of 0.1b and baseline of 2.5b

bsearch3.0ms

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.4s	8990×	body	80	valid
1.3s	955×	body	640	valid
1.1s	811×	body	1280	valid
419.0ms	578×	body	320	valid
155.0ms	321×	body	160	valid