Details

sample80.0ms

Algorithm

intervals

Results

26.0ms	297×	body	80	valid
15.0ms	21×	body	320	valid
11.0ms	31×	body	640	valid
11.0ms	23×	body	1280	valid
2.0ms	14×	body	160	valid

simplify5.4s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* sin (* x cos)) (* sin (* x cos)))
0.8b	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
5.1b	(* sin (* x cos))
5.1b	(* sin (* x cos))

rewrite218.0ms

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:

91.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
86.0ms	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
19.0ms	(* sin (* x cos))
17.0ms	(* sin (* x cos))

series246.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
110.0ms	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
39.0ms	(* sin (* x cos))
31.0ms	(* sin (* x cos))

simplify1.5s

Counts

150 → 150

Iterations

Iter	Nodes
done	5513
2	1743
1	397
0	141

prune452.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (* sin (* x cos)))
0.5b	(/ (cos (* 2 x)) (* sin (* x cos)))
5.1b	(* sin (* x cos))
5.1b	(* sin (* x cos))

rewrite137.0ms

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:

46.0ms	(/ 1 (* sin (* x cos)))
42.0ms	(/ (cos (* 2 x)) (* sin (* x cos)))
18.0ms	(* sin (* x cos))
28.0ms	(* sin (* x cos))

series149.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 1 (* sin (* x cos)))
44.0ms	(/ (cos (* 2 x)) (* sin (* x cos)))
37.0ms	(* sin (* x cos))
45.0ms	(* sin (* x cos))

simplify1.5s

Counts

109 → 109

Iterations

Iter	Nodes
done	5004
2	1082
1	290
0	122

prune617.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.7b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (/ 1 sin) (* x cos)) (/ (cos (* 2 x)) (* sin (* x cos))))
0.5b	(/ (cos (* 2 x)) (* sin (* x cos)))
5.1b	(* sin (* x cos))
5.1b	(/ (/ 1 sin) (* x cos))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

222×	`add-exp-log`
132×	`add-cbrt-cube`
90×	`div-exp`
89×	`prod-exp`
59×	`times-frac`
51×	`cbrt-unprod`
48×	`cbrt-undiv`
33×	`add-sqr-sqrt`
31×	`*-un-lft-identity` `add-cube-cbrt`
20×	`associate-l`
16×	`associate-/l*`
11×	`pow1`
10×	`rec-exp` `1-exp`
8×	`associate-r`
7×	`div-inv`
4×	`pow-prod-down` `insert-posit16` `add-log-exp`
2×	`clear-num` `associate-/r` `frac-2neg` `-commutative`
1×	`frac-times` `div-sub` `associate-l/` `associate-r/` `cos-2` `unswap-sqr` `associate-/l/`

Counts

4 → 189

Calls

4 calls:

140.0ms	(* (/ (/ 1 sin) (* x cos)) (/ (cos (* 2 x)) (* sin (* x cos))))
36.0ms	(/ (cos (* 2 x)) (* sin (* x cos)))
28.0ms	(* sin (* x cos))
20.0ms	(/ (/ 1 sin) (* x cos))

series280.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (/ (/ 1 sin) (* x cos)) (/ (cos (* 2 x)) (* sin (* x cos))))
53.0ms	(/ (cos (* 2 x)) (* sin (* x cos)))
44.0ms	(* sin (* x cos))
22.0ms	(/ (/ 1 sin) (* x cos))

simplify2.6s

Counts

201 → 201

Iterations

Iter	Nodes
done	5090
2	3595
1	799
0	285

prune875.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x (* cos sin)) (* x (* cos sin)))
0.8b	(/ (cos (* x 2)) (* (* x (* cos sin)) (* x (* cos sin))))
3.7b	(* x (* cos sin))
3.7b	(* x (* cos sin))

rewrite299.0ms

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` `swap-sqr` `div-inv`

Counts

4 → 137

Calls

4 calls:

115.0ms	(* (* x (* cos sin)) (* x (* cos sin)))
127.0ms	(/ (cos (* x 2)) (* (* x (* cos sin)) (* x (* cos sin))))
28.0ms	(* x (* cos sin))
17.0ms	(* x (* cos sin))

series272.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (* x (* cos sin)) (* x (* cos sin)))
113.0ms	(/ (cos (* x 2)) (* (* x (* cos sin)) (* x (* cos sin))))
49.0ms	(* x (* cos sin))
31.0ms	(* x (* cos sin))

simplify1.6s

Counts

149 → 149

Iterations

Iter	Nodes
done	5006
2	1866
1	385
0	137

prune500.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes344.0ms

Accuracy

0% (2.7b remaining)

Error of 2.8b against oracle of 0.1b and baseline of 2.8b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	12

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.4s	9117×	body	80	valid
1.2s	851×	body	1280	valid
546.0ms	950×	body	640	valid
205.0ms	582×	body	320	valid
123.0ms	331×	body	160	valid