Details

sample139.0ms

Algorithm

intervals

Results

54.0ms	278×	body	80	valid
29.0ms	38×	body	640	valid
23.0ms	22×	body	1280	valid
8.0ms	15×	body	320	valid
5.0ms	13×	body	160	valid

simplify18.1s

Counts: 1 → 1

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.0b

localize19.0ms

Local error

Found 4 expressions with local error:

5.0b	(* (* sin cos) x)
5.0b	(* (* sin cos) x)
0.7b	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
0.3b	(* (* (* 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

132.0ms	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
99.0ms	(* (* (* sin cos) x) (* (* sin cos) x))
36.0ms	(* (* sin cos) x)
29.0ms	(* (* sin cos) x)

series252.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

84.0ms	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
80.0ms	(* (* (* sin cos) x) (* (* sin cos) x))
50.0ms	(* (* sin cos) x)
38.0ms	(* (* sin cos) x)

simplify669.0ms

Counts: 150 → 150

prune1.6s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

5.0b	(* (* sin cos) x)
5.0b	(* (* sin cos) x)
0.3b	(/ 1 (* (* sin cos) x))
0.3b	(/ (cos (* 2 x)) (* (* sin cos) x))

rewrite121.0ms

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

45.0ms	(/ (cos (* 2 x)) (* (* sin cos) x))
36.0ms	(/ 1 (* (* sin cos) x))
22.0ms	(* (* sin cos) x)
16.0ms	(* (* sin cos) x)

series125.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

47.0ms	(/ (cos (* 2 x)) (* (* sin cos) x))
32.0ms	(* (* sin cos) x)
28.0ms	(* (* sin cos) x)
19.0ms	(/ 1 (* (* sin cos) x))

simplify3.4s

Counts: 109 → 109

prune1.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

5.0b	(* (* sin cos) x)
5.0b	(* (* sin cos) x)
5.0b	(* (* sin cos) x)
1.3b	(/ (* (sin x) (sin x)) (* (* sin cos) x))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-cbrt-cube` `add-exp-log`
19×	`pow1`
18×	`prod-exp` `cbrt-unprod`
9×	`associate-r` `pow-prod-down`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-undiv` `div-exp`
4×	`insert-posit16` `add-log-exp`
3×	`associate-l` `*-commutative`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `div-sub` `sqr-sin` `div-inv` `sin-mult` `associate-/l` `associate-/l/`

Counts

4 → 85

Calls

4 calls:

Slowest

46.0ms	(/ (* (sin x) (sin x)) (* (* sin cos) x))
24.0ms	(* (* sin cos) x)
21.0ms	(* (* sin cos) x)
20.0ms	(* (* sin cos) x)

series217.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

78.0ms	(/ (* (sin x) (sin x)) (* (* sin cos) x))
47.0ms	(* (* sin cos) x)
47.0ms	(* (* sin cos) x)
44.0ms	(* (* sin cos) x)

simplify6.1s

Counts: 97 → 97

prune1.3s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

5.0b	(* (/ 1 (* sin cos)) (/ 1 x))
5.0b	(* (* sin cos) x)
0.8b	(/ 1 (* sin cos))
0.3b	(/ (cos (* 2 x)) (* (* sin cos) x))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 147

Calls

4 calls:

Slowest

49.0ms	(* (/ 1 (* sin cos)) (/ 1 x))
28.0ms	(/ (cos (* 2 x)) (* (* sin cos) x))
21.0ms	(* (* sin cos) x)
9.0ms	(/ 1 (* sin cos))

series152.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

65.0ms	(/ (cos (* 2 x)) (* (* sin cos) x))
38.0ms	(* (* sin cos) x)
34.0ms	(* (/ 1 (* sin cos)) (/ 1 x))
15.0ms	(/ 1 (* sin cos))

simplify793.0ms

Counts: 159 → 159

prune1.8s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.2b

regimes303.0ms

Accuracy

14.9% (2.1b remaining)

Error of 2.2b against oracle of 0.1b and baseline of 2.6b

bsearch467.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.5s	9001×	body	80	valid
962.0ms	801×	body	1280	valid
847.0ms	957×	body	640	valid
430.0ms	606×	body	320	valid
146.0ms	300×	body	160	valid