Details

sample92.0ms

Algorithm

intervals

Results

34.0ms	313×	body	80	valid
16.0ms	36×	body	640	valid
15.0ms	25×	body	1280	valid
5.0ms	15×	body	320	valid
1.0ms	6×	body	160	valid

simplify5.0s

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: 3.9b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* sin (* x cos)) (* sin (* x cos)))
0.6b	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
6.0b	(* sin (* x cos))
6.0b	(* sin (* x cos))

rewrite298.0ms

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:

120.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
127.0ms	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
21.0ms	(* sin (* x cos))
24.0ms	(* sin (* x cos))

series263.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
100.0ms	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
32.0ms	(* sin (* x cos))
35.0ms	(* sin (* x cos))

simplify1.5s

Counts

150 → 150

Iterations

Iter	Nodes
done	5513
2	1743
1	397
0	141

prune408.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ (cos (* 2 x)) (* sin (* x cos)))
0.6b	(/ 1 (* sin (* x cos)))
6.0b	(* sin (* x cos))
6.0b	(* sin (* x cos))

rewrite122.0ms

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-l` `associate-/l*`
4×	`insert-posit16` `add-log-exp`
3×	`rec-exp` `1-exp` `pow-flip`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-r` `-commutative` `div-inv`
1×	`div-sub` `cos-2` `inv-pow`

Counts

4 → 97

Calls

4 calls:

31.0ms	(/ (cos (* 2 x)) (* sin (* x cos)))
41.0ms	(/ 1 (* sin (* x cos)))
18.0ms	(* sin (* x cos))
30.0ms	(* sin (* x cos))

series139.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (cos (* 2 x)) (* sin (* x cos)))
24.0ms	(/ 1 (* sin (* x cos)))
29.0ms	(* sin (* x cos))
30.0ms	(* sin (* x cos))

simplify1.4s

Counts

109 → 109

Iterations

Iter	Nodes
done	5009
2	1207
1	295
0	122

prune529.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.2b

localize36.0ms

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)))
6.0b	(* sin (* x cos))
6.0b	(* sin (* x cos))

rewrite210.0ms

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-l` `pow-prod-down`
4×	`insert-posit16` `div-inv` `add-log-exp`
3×	`div-sub`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-r` `-commutative` `cos-2`
1×	`associate-/l/`

Counts

4 → 115

Calls

4 calls:

88.0ms	(/ (/ (cos (* 2 x)) (* sin (* x cos))) (* sin (* x cos)))
47.0ms	(/ (cos (* 2 x)) (* sin (* x cos)))
31.0ms	(* sin (* x cos))
37.0ms	(* sin (* x cos))

series259.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(/ (/ (cos (* 2 x)) (* sin (* x cos))) (* sin (* x cos)))
45.0ms	(/ (cos (* 2 x)) (* sin (* x cos)))
32.0ms	(* sin (* x cos))
48.0ms	(* sin (* x cos))

simplify1.8s

Counts

127 → 127

Iterations

Iter	Nodes
done	5154
2	2011
1	430
0	159

prune611.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ (cos (* 2 x)) (* sin (* x cos)))
0.6b	(/ 1 (* sin (* x cos)))
6.0b	(* sin (* x cos))
6.0b	(* sin (* x cos))

rewrite125.0ms

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-l` `associate-/l*`
4×	`insert-posit16` `add-log-exp`
3×	`rec-exp` `1-exp` `pow-flip`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-r` `-commutative` `div-inv`
1×	`div-sub` `cos-2` `inv-pow`

Counts

4 → 97

Calls

4 calls:

47.0ms	(/ (cos (* 2 x)) (* sin (* x cos)))
30.0ms	(/ 1 (* sin (* x cos)))
20.0ms	(* sin (* x cos))
23.0ms	(* sin (* x cos))

series147.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (cos (* 2 x)) (* sin (* x cos)))
32.0ms	(/ 1 (* sin (* x cos)))
28.0ms	(* sin (* x cos))
35.0ms	(* sin (* x cos))

simplify1.7s

Counts

109 → 109

Iterations

Iter	Nodes
done	5009
2	1207
1	295
0	122

prune503.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.2b

regimes311.0ms

Accuracy

0% (0.3b remaining)

Error of 2.7b against oracle of 2.4b and baseline of 2.7b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	18
1	18
0	12

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.9s	8918×	body	80	valid
912.0ms	944×	body	640	valid
630.0ms	848×	body	1280	valid
304.0ms	563×	body	320	valid
77.0ms	300×	body	160	valid