Details

sample103.0ms

Algorithm

intervals

Results

44.0ms	282×	body	80	valid
22.0ms	27×	body	1280	valid
14.0ms	26×	body	640	valid
5.0ms	13×	body	320	valid
3.0ms	8×	body	160	valid

simplify736.0ms

Counts: 1 → 1

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.6b

localize21.0ms

Local error

Found 4 expressions with local error:

7.5b	(* sin (* x cos))
7.5b	(* sin (* x cos))
0.5b	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
0.2b	(* (* sin (* x cos)) (* sin (* x cos)))

rewrite188.0ms

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

81.0ms	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
68.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
21.0ms	(* sin (* x cos))
15.0ms	(* sin (* x cos))

series212.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

79.0ms	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
77.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
29.0ms	(* sin (* x cos))
28.0ms	(* sin (* x cos))

simplify620.0ms

Counts: 150 → 150

prune1.4s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.2b

localize29.0ms

Local error

Found 4 expressions with local error:

7.5b	(* sin (* x cos))
7.5b	(* sin (* x cos))
0.8b	(/ (cos (* 2 x)) (* sin (* x cos)))
0.8b	(/ 1 (* sin (* x cos)))

rewrite98.0ms

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-l` `associate-/l*`
4×	`insert-posit16` `add-log-exp`
3×	`rec-exp` `1-exp` `pow-flip`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-r` `-commutative` `div-inv`
1×	`div-sub` `cos-2` `inv-pow`

Counts

4 → 97

Calls

4 calls:

Slowest

33.0ms	(/ (cos (* 2 x)) (* sin (* x cos)))
29.0ms	(/ 1 (* sin (* x cos)))
18.0ms	(* sin (* x cos))
18.0ms	(* sin (* x cos))

series145.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

50.0ms	(/ (cos (* 2 x)) (* sin (* x cos)))
40.0ms	(* sin (* x cos))
29.0ms	(* sin (* x cos))
26.0ms	(/ 1 (* sin (* x cos)))

simplify3.1s

Counts: 109 → 109

prune939.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.2b

localize23.0ms

Local error

Found 4 expressions with local error:

7.5b	(* sin (* x cos))
7.5b	(* sin (* x cos))
0.8b	(/ 1 (* sin (* x cos)))
0.8b	(/ 1 (/ (* sin (* x cos)) (cos (* 2 x))))

rewrite102.0ms

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-l` `div-inv` `associate-/l*`
4×	`insert-posit16` `pow-flip` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r` `*-commutative` `inv-pow`
1×	`associate-/r/`

Counts

4 → 133

Calls

4 calls:

Slowest

33.0ms	(/ 1 (* sin (* x cos)))
31.0ms	(/ 1 (/ (* sin (* x cos)) (cos (* 2 x))))
23.0ms	(* sin (* x cos))
13.0ms	(* sin (* x cos))

series202.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

84.0ms	(/ 1 (/ (* sin (* x cos)) (cos (* 2 x))))
44.0ms	(* sin (* x cos))
39.0ms	(* sin (* x cos))
34.0ms	(/ 1 (* sin (* x cos)))

simplify448.0ms

Counts: 145 → 145

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.2b

localize43.0ms

Local error

Found 4 expressions with local error:

7.5b	(* sin (* x cos))
7.4b	(* (/ 1 sin) (* (/ 1 x) (/ (cos (* x 2)) cos)))
0.8b	(/ 1 (* sin (* x cos)))
0.3b	(* (/ 1 x) (/ (cos (* x 2)) cos))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

189×	`add-exp-log`
88×	`prod-exp`
71×	`add-cbrt-cube`
64×	`div-exp`
45×	`add-sqr-sqrt`
37×	`times-frac`
30×	`*-un-lft-identity`
29×	`associate-l`
28×	`add-cube-cbrt` `cbrt-unprod`
22×	`pow1` `rec-exp` `1-exp`
20×	`cbrt-undiv`
15×	`associate-r`
10×	`pow-prod-down`
6×	`frac-times` `associate-*r/` `unswap-sqr`
4×	`associate-*l/` `insert-posit16` `div-inv` `add-log-exp`
3×	`-commutative` `pow-flip` `associate-/l`
1×	`clear-num` `associate-/r*` `frac-2neg` `inv-pow`

Counts

4 → 188

Calls

4 calls:

Slowest

39.0ms	(* (/ 1 sin) (* (/ 1 x) (/ (cos (* x 2)) cos)))
33.0ms	(/ 1 (* sin (* x cos)))
32.0ms	(* sin (* x cos))
15.0ms	(* (/ 1 x) (/ (cos (* x 2)) cos))

series226.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

86.0ms	(* (/ 1 sin) (* (/ 1 x) (/ (cos (* x 2)) cos)))
71.0ms	(* (/ 1 x) (/ (cos (* x 2)) cos))
36.0ms	(* sin (* x cos))
34.0ms	(/ 1 (* sin (* x cos)))

simplify939.0ms

Counts: 200 → 200

prune2.6s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.9b

regimes646.0ms

Accuracy

0% (0.5b remaining)

Error of 2.6b against oracle of 2.1b and baseline of 2.6b

bsearch5.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

1.9s	9138×	body	80	valid
1.4s	835×	body	1280	valid
963.0ms	956×	body	640	valid
420.0ms	543×	body	320	valid
125.0ms	318×	body	160	valid