Details

sample120.0ms

Algorithm

intervals

Results

39.0ms	270×	body	80	valid
20.0ms	28×	body	1280	valid
19.0ms	32×	body	640	valid
12.0ms	11×	body	160	valid
9.0ms	21×	body	320	valid

simplify888.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	733
7	733
6	732
5	652
4	463
3	164
2	55
1	28
0	12

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.3b

localize31.0ms

Local error

Found 4 expressions with local error:

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

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:

98.0ms	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
120.0ms	(* (* (* sin x) cos) (* (* sin x) cos))
19.0ms	(* (* sin x) cos)
18.0ms	(* (* sin x) cos)

series265.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
79.0ms	(* (* (* sin x) cos) (* (* sin x) cos))
33.0ms	(* (* sin x) cos)
51.0ms	(* (* sin x) cos)

simplify13.0s

Counts

158 → 158

Iterations

Iter	Nodes
3	19256
2	1800
1	410
0	149

prune1.7s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.7b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos))
0.6b	(/ (cos (* 2 x)) (* (* sin x) cos))
4.0b	(* (* sin x) cos)
4.0b	(* (* sin x) cos)

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-cbrt-cube` `add-exp-log`
30×	`prod-exp` `cbrt-unprod`
24×	`cbrt-undiv` `div-exp`
16×	`times-frac`
14×	`pow1`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
10×	`associate-/l*`
6×	`associate-r` `pow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`div-sub`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-l` `-commutative` `cos-2`
1×	`associate-/l/`

Counts

4 → 123

Calls

4 calls:

75.0ms	(/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos))
34.0ms	(/ (cos (* 2 x)) (* (* sin x) cos))
30.0ms	(* (* sin x) cos)
32.0ms	(* (* sin x) cos)

series235.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos))
58.0ms	(/ (cos (* 2 x)) (* (* sin x) cos))
44.0ms	(* (* sin x) cos)
33.0ms	(* (* sin x) cos)

simplify736.0ms

Counts

135 → 135

Iterations

Iter	Nodes
2	2290
1	478
0	167

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (/ (* (* sin x) cos) (/ (cos (* 2 x)) (* (* sin x) cos))))
0.6b	(/ (cos (* 2 x)) (* (* sin x) cos))
4.0b	(* (* sin x) cos)
4.0b	(* (* sin x) cos)

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

201×	`add-exp-log`
92×	`div-exp`
91×	`add-cbrt-cube`
79×	`times-frac`
72×	`prod-exp`
37×	`cbrt-undiv`
33×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
30×	`cbrt-unprod`
15×	`pow1`
13×	`rec-exp` `associate-/r*` `1-exp`
10×	`div-inv`
6×	`associate-r` `pow-prod-down` `associate-/l*`
5×	`associate-/r/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-l` `*-commutative`
1×	`div-sub` `cos-2` `pow-flip` `inv-pow`

Counts

4 → 188

Calls

4 calls:

94.0ms	(/ 1 (/ (* (* sin x) cos) (/ (cos (* 2 x)) (* (* sin x) cos))))
53.0ms	(/ (cos (* 2 x)) (* (* sin x) cos))
19.0ms	(* (* sin x) cos)
15.0ms	(* (* sin x) cos)

series333.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(/ 1 (/ (* (* sin x) cos) (/ (cos (* 2 x)) (* (* sin x) cos))))
72.0ms	(/ (cos (* 2 x)) (* (* sin x) cos))
48.0ms	(* (* sin x) cos)
49.0ms	(* (* sin x) cos)

simplify1.1s

Counts

200 → 200

Iterations

Iter	Nodes
2	3478
1	773
0	295

prune2.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

1.4b	(/ (* (sin x) (sin x)) (* (* sin x) cos))
4.0b	(* (* sin x) cos)
4.0b	(* (* sin x) cos)
4.0b	(* (* sin x) cos)

rewrite119.0ms

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:

47.0ms	(/ (* (sin x) (sin x)) (* (* sin x) cos))
19.0ms	(* (* sin x) cos)
19.0ms	(* (* sin x) cos)
31.0ms	(* (* sin x) cos)

series215.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ (* (sin x) (sin x)) (* (* sin x) cos))
47.0ms	(* (* sin x) cos)
51.0ms	(* (* sin x) cos)
45.0ms	(* (* sin x) cos)

simplify5.1s

Counts

105 → 105

Iterations

Iter	Nodes
3	11194
2	1409
1	279
0	99

prune1.3s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes259.0ms

Accuracy

0% (3.0b remaining)

Error of 3.1b against oracle of 0.1b and baseline of 3.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	17
1	17
0	12

end0.0ms

sample5.3s

Algorithm

intervals

Results

1.9s	8994×	body	80	valid
1.4s	957×	body	640	valid
1.1s	803×	body	1280	valid
410.0ms	603×	body	320	valid
160.0ms	315×	body	160	valid