Details

sample117.0ms

Algorithm

intervals

Results

45.0ms	276×	body	80	valid
27.0ms	36×	body	1280	valid
17.0ms	33×	body	640	valid
11.0ms	24×	body	320	valid
2.0ms	6×	body	160	valid

simplify724.0ms

Counts

1 → 1

Iterations

Iter	Nodes
7	610
6	610
5	603
4	447
3	163
2	53
1	28
0	12

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* sin x) cos) (* (* sin x) cos))
0.4b	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
4.0b	(* (* sin x) cos)
4.0b	(* (* sin x) cos)

rewrite257.0ms

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` `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 → 142

Calls

4 calls:

100.0ms	(* (* (* sin x) cos) (* (* sin x) cos))
108.0ms	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
23.0ms	(* (* sin x) cos)
17.0ms	(* (* sin x) cos)

series278.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (* (* sin x) cos) (* (* sin x) cos))
114.0ms	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
45.0ms	(* (* sin x) cos)
49.0ms	(* (* sin x) cos)

simplify10.1s

Counts

154 → 154

Iterations

Iter	Nodes
3	15802
2	1842
1	416
0	146

prune1.7s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* sin (* cos x)) (* sin (* cos x)))
0.4b	(/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))
3.5b	(* sin (* cos x))
3.5b	(* sin (* cos x))

rewrite151.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 142

Calls

4 calls:

62.0ms	(* (* sin (* cos x)) (* sin (* cos x)))
62.0ms	(/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))
12.0ms	(* sin (* cos x))
12.0ms	(* sin (* cos x))

series273.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (* sin (* cos x)) (* sin (* cos x)))
98.0ms	(/ (cos (* 2 x)) (* (* sin (* cos x)) (* sin (* cos x))))
41.0ms	(* sin (* cos x))
38.0ms	(* sin (* cos x))

simplify721.0ms

Counts

154 → 154

Iterations

Iter	Nodes
2	2019
1	393
0	144

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* sin (* cos x)) (* sin (* cos x)))
0.4b	(/ 1 (/ (* (* sin (* cos x)) (* sin (* cos x))) (cos (* 2 x))))
3.5b	(* sin (* cos x))
3.5b	(* sin (* cos x))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

205×	`add-exp-log`
129×	`pow1`
114×	`prod-exp`
109×	`add-cbrt-cube`
72×	`pow-prod-down`
60×	`cbrt-unprod`
52×	`div-exp`
33×	`times-frac`
22×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
21×	`cbrt-undiv`
11×	`rec-exp` `1-exp`
9×	`pow-sqr` `pow-prod-up`
7×	`associate-/r` `associate-l*`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-plus` `associate-r` `-commutative` `associate-/l`
1×	`pow2` `clear-num` `frac-2neg` `swap-sqr` `associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 192

Calls

4 calls:

59.0ms	(* (* sin (* cos x)) (* sin (* cos x)))
144.0ms	(/ 1 (/ (* (* sin (* cos x)) (* sin (* cos x))) (cos (* 2 x))))
12.0ms	(* sin (* cos x))
12.0ms	(* sin (* cos x))

series344.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (* sin (* cos x)) (* sin (* cos x)))
155.0ms	(/ 1 (/ (* (* sin (* cos x)) (* sin (* cos x))) (cos (* 2 x))))
42.0ms	(* sin (* cos x))
44.0ms	(* sin (* cos x))

simplify1.4s

Counts

204 → 204

Iterations

Iter	Nodes
2	3866
1	629
0	232

prune2.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* x cos) sin) (* (* x cos) sin))
0.4b	(/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))
3.5b	(* (* x cos) sin)
3.5b	(* (* x cos) sin)

rewrite240.0ms

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` `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 → 142

Calls

4 calls:

82.0ms	(* (* (* x cos) sin) (* (* x cos) sin))
108.0ms	(/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))
21.0ms	(* (* x cos) sin)
26.0ms	(* (* x cos) sin)

series301.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (* (* x cos) sin) (* (* x cos) sin))
102.0ms	(/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))
41.0ms	(* (* x cos) sin)
48.0ms	(* (* x cos) sin)

simplify13.0s

Counts

154 → 154

Iterations

Iter	Nodes
3	18027
2	1936
1	416
0	146

prune1.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes217.0ms

Accuracy

0% (2.5b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	13
1	13
0	10

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.6s	8981×	body	80	valid
1.1s	789×	body	1280	valid
883.0ms	1005×	body	640	valid
371.0ms	589×	body	320	valid
123.0ms	286×	body	160	valid