Details

sample114.0ms

Algorithm

intervals

Results

44.0ms	278×	body	80	valid
24.0ms	38×	body	640	valid
17.0ms	22×	body	1280	valid
7.0ms	15×	body	320	valid
4.0ms	13×	body	160	valid

simplify18.1s

Counts: 1 → 1

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.0b

localize17.0ms

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))

rewrite261.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 146

Calls

4 calls:

Slowest

127.0ms	(* (* (* sin cos) x) (* (* sin cos) x))
97.0ms	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
17.0ms	(* (* sin cos) x)
16.0ms	(* (* sin cos) x)

series235.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

94.0ms	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
74.0ms	(* (* (* sin cos) x) (* (* sin cos) x))
38.0ms	(* (* sin cos) x)
28.0ms	(* (* sin cos) x)

simplify721.0ms

Counts: 158 → 158

prune1.8s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.4b

localize24.0ms

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))

rewrite124.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 105

Calls

4 calls:

Slowest

39.0ms	(/ 1 (* (* sin cos) x))
37.0ms	(/ (cos (* 2 x)) (* (* sin cos) x))
30.0ms	(* (* sin cos) x)
16.0ms	(* (* sin cos) x)

series189.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

65.0ms	(/ (cos (* 2 x)) (* (* sin cos) x))
48.0ms	(* (* sin cos) x)
43.0ms	(* (* sin cos) x)
32.0ms	(/ 1 (* (* sin cos) x))

simplify3.1s

Counts: 117 → 117

prune1.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.3b

localize47.0ms

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))

rewrite91.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 93

Calls

4 calls:

Slowest

30.0ms	(* (* sin cos) x)
26.0ms	(/ (* (sin x) (sin x)) (* (* sin cos) x))
17.0ms	(* (* sin cos) x)
17.0ms	(* (* sin cos) x)

series186.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

72.0ms	(/ (* (sin x) (sin x)) (* (* sin cos) x))
44.0ms	(* (* sin cos) x)
37.0ms	(* (* sin cos) x)
34.0ms	(* (* sin cos) x)

simplify6.0s

Counts: 105 → 105

prune1.4s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.3b

localize65.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* sin cos)) (/ (cbrt (cos (* 2 x))) x))
5.0b	(* (* sin cos) x)
0.8b	(/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* sin cos))
0.4b	(cbrt (cos (* 2 x)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-exp-log`
45×	`add-cbrt-cube`
28×	`add-sqr-sqrt`
25×	`associate-r` `prod-exp` `cbrt-unprod`
22×	`times-frac`
20×	`*-un-lft-identity` `add-cube-cbrt`
17×	`cbrt-undiv` `div-exp`
13×	`cbrt-prod`
11×	`pow1`
6×	`associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-inv` `unswap-sqr`
2×	`*-commutative`
1×	`frac-times` `clear-num` `associate-/r` `frac-2neg` `pow1/3` `associate-l/` `associate-r/` `associate-/l`

Counts

4 → 124

Calls

4 calls:

Slowest

59.0ms	(* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* sin cos)) (/ (cbrt (cos (* 2 x))) x))
25.0ms	(* (* sin cos) x)
24.0ms	(/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* sin cos))
4.0ms	(cbrt (cos (* 2 x)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

127.0ms	(cbrt (cos (* 2 x)))
103.0ms	(/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* sin cos))
50.0ms	(* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* sin cos)) (/ (cbrt (cos (* 2 x))) x))
45.0ms	(* (* sin cos) x)

simplify1.5s

Counts: 136 → 136

prune1.7s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.3b

regimes302.0ms

Accuracy

0% (0.7b remaining)

Error of 2.9b against oracle of 2.2b and baseline of 2.9b

bsearch4.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.4s	9001×	body	80	valid
918.0ms	801×	body	1280	valid
855.0ms	957×	body	640	valid
534.0ms	606×	body	320	valid
115.0ms	300×	body	160	valid