Details

sample125.0ms

Algorithm

intervals

Results

60.0ms	321×	body	80	valid
18.0ms	24×	body	1280	valid
17.0ms	28×	body	640	valid
10.0ms	26×	body	320	valid
1.0ms	5×	body	160	valid

simplify5.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5009
6	4062
5	1352
4	542
3	196
2	66
1	28
0	12

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* sin (* x cos)) (* sin (* x cos)))
0.3b	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
6.2b	(* sin (* x cos))
6.2b	(* sin (* x cos))

rewrite203.0ms

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:

93.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
75.0ms	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
16.0ms	(* sin (* x cos))
13.0ms	(* sin (* x cos))

series224.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
76.0ms	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
34.0ms	(* sin (* x cos))
38.0ms	(* sin (* x cos))

simplify1.5s

Counts

150 → 150

Iterations

Iter	Nodes
done	5513
2	1743
1	397
0	141

prune472.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (* (* sin (* x cos)) (* sin (* x cos))) (cos (* 2 x))))
0.2b	(* (* sin (* x cos)) (* sin (* x cos)))
6.2b	(* sin (* x cos))
6.2b	(* sin (* x cos))

rewrite303.0ms

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×	`insert-posit16` `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 → 188

Calls

4 calls:

146.0ms	(/ 1 (/ (* (* sin (* x cos)) (* sin (* x cos))) (cos (* 2 x))))
108.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
19.0ms	(* sin (* x cos))
23.0ms	(* sin (* x cos))

series278.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(/ 1 (/ (* (* sin (* x cos)) (* sin (* x cos))) (cos (* 2 x))))
78.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
42.0ms	(* sin (* x cos))
42.0ms	(* sin (* x cos))

simplify1.9s

Counts

200 → 200

Iterations

Iter	Nodes
done	5034
2	3004
1	642
0	229

prune596.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 1 (* (* sin x) cos)) (* (* sin x) cos))
0.4b	(/ 1 (* (* sin x) cos))
3.8b	(* (* sin x) cos)
3.8b	(* (* sin x) cos)

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

161×	`add-exp-log`
77×	`add-cbrt-cube`
72×	`prod-exp`
62×	`pow1`
54×	`div-exp`
30×	`pow-prod-down` `cbrt-unprod`
24×	`cbrt-undiv`
16×	`times-frac`
12×	`add-sqr-sqrt` `rec-exp` `*-un-lft-identity` `1-exp` `add-cube-cbrt` `pow-flip` `pow-div`
10×	`associate-/l*`
6×	`associate-r`
4×	`insert-posit16` `div-inv` `inv-pow` `add-log-exp`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-l` `-commutative`
1×	`associate-/l/`

Counts

4 → 153

Calls

4 calls:

67.0ms	(/ (/ 1 (* (* sin x) cos)) (* (* sin x) cos))
28.0ms	(/ 1 (* (* sin x) cos))
15.0ms	(* (* sin x) cos)
14.0ms	(* (* sin x) cos)

series183.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ (/ 1 (* (* sin x) cos)) (* (* sin x) cos))
30.0ms	(/ 1 (* (* sin x) cos))
42.0ms	(* (* sin x) cos)
43.0ms	(* (* sin x) cos)

simplify1.4s

Counts

165 → 165

Iterations

Iter	Nodes
done	5019
2	1707
1	446
0	161

prune572.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (pow (* (* sin x) cos) -2) (cos (* 2 x)))
0.2b	(pow (* (* sin x) cos) -2)
3.8b	(* (* sin x) cos)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
14×	`pow1` `prod-exp`
10×	`add-sqr-sqrt` `add-cbrt-cube`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r` `associate-l` `pow-prod-down` `pow-exp`
4×	`cbrt-unprod`
3×	`pow-unpow` `pow-pow` `insert-posit16` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `unpow-prod-down` `*-commutative` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

32.0ms	(* (pow (* (* sin x) cos) -2) (cos (* 2 x)))
13.0ms	(pow (* (* sin x) cos) -2)
15.0ms	(* (* sin x) cos)

series204.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(* (pow (* (* sin x) cos) -2) (cos (* 2 x)))
49.0ms	(pow (* (* sin x) cos) -2)
30.0ms	(* (* sin x) cos)

simplify2.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	5213
3	3733
2	881
1	294
0	114

prune277.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

regimes314.0ms

Accuracy

0% (2.6b remaining)

Error of 2.7b against oracle of 0.1b and baseline of 2.7b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.0s	9104×	body	80	valid
1.0s	816×	body	1280	valid
1.0s	975×	body	640	valid
407.0ms	546×	body	320	valid
144.0ms	346×	body	160	valid