Details

sample153.0ms

Algorithm

intervals

Results

54.0ms	314×	body	80	valid
42.0ms	25×	body	1280	valid
24.0ms	35×	body	640	valid
9.0ms	17×	body	320	valid
3.0ms	10×	body	160	valid

simplify5.6s

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
0.3b	(* (* sin (* x cos)) (* sin (* x cos)))
4.7b	(* sin (* x cos))
4.7b	(* sin (* x cos))

rewrite259.0ms

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:

104.0ms	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
108.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
21.0ms	(* sin (* x cos))
22.0ms	(* sin (* x cos))

series287.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
91.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
40.0ms	(* sin (* x cos))
42.0ms	(* sin (* x cos))

simplify1.4s

Counts

150 → 150

Iterations

Iter	Nodes
done	5001
2	1723
1	393
0	141

prune381.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.2b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (* (* sin (* x cos)) (* sin (* x cos))))
0.3b	(* (* sin (* x cos)) (* sin (* x cos)))
4.7b	(* sin (* x cos))
4.7b	(* sin (* x cos))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

243×	`pow1`
171×	`add-exp-log`
138×	`pow-prod-down`
114×	`prod-exp`
97×	`add-cbrt-cube`
60×	`cbrt-unprod`
32×	`pow-flip`
20×	`div-exp`
18×	`pow-sqr` `pow-prod-up`
10×	`cbrt-undiv` `rec-exp` `1-exp`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
6×	`pow-plus`
4×	`insert-posit16` `add-log-exp`
3×	`times-frac` `associate-r` `-commutative` `associate-/l`
2×	`pow2`
1×	`clear-num` `associate-/r*` `frac-2neg` `swap-sqr` `div-inv` `inv-pow`

Counts

4 → 190

Calls

4 calls:

109.0ms	(/ 1 (* (* sin (* x cos)) (* sin (* x cos))))
74.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
13.0ms	(* sin (* x cos))
14.0ms	(* sin (* x cos))

series179.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ 1 (* (* sin (* x cos)) (* sin (* x cos))))
66.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
37.0ms	(* sin (* x cos))
30.0ms	(* sin (* x cos))

simplify1.2s

Counts

202 → 202

Iterations

Iter	Nodes
done	5304
2	1376
1	390
0	144

prune332.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (cos (* 2 x)) (pow (* sin (* x cos)) -2))
0.3b	(pow (* sin (* x cos)) -2)
4.7b	(* sin (* x cos))

rewrite74.0ms

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:

44.0ms	(* (cos (* 2 x)) (pow (* sin (* x cos)) -2))
15.0ms	(pow (* sin (* x cos)) -2)
13.0ms	(* sin (* x cos))

series198.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(* (cos (* 2 x)) (pow (* sin (* x cos)) -2))
47.0ms	(pow (* sin (* x cos)) -2)
40.0ms	(* sin (* x cos))

simplify2.7s

Counts

73 → 73

Iterations

Iter	Nodes
done	5017
3	4657
2	918
1	279
0	111

prune408.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (cos (* 2 x)) (pow (* x (* cos sin)) -2))
0.3b	(pow (* x (* cos sin)) -2)
5.5b	(* x (* cos sin))

rewrite69.0ms

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:

37.0ms	(* (cos (* 2 x)) (pow (* x (* cos sin)) -2))
12.0ms	(pow (* x (* cos sin)) -2)
20.0ms	(* x (* cos sin))

series221.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(* (cos (* 2 x)) (pow (* x (* cos sin)) -2))
76.0ms	(pow (* x (* cos sin)) -2)
30.0ms	(* x (* cos sin))

simplify1.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5002
2	963
1	277
0	111

prune301.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

regimes605.0ms

Accuracy

52.6% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 3.0b

bsearch2.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	40
1	40
0	28

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.6s	9202×	body	80	valid
1.0s	827×	body	1280	valid
905.0ms	922×	body	640	valid
419.0ms	619×	body	320	valid
165.0ms	326×	body	160	valid