Details

sample106.0ms

Algorithm

intervals

Results

39.0ms	291×	body	80	valid
25.0ms	17×	body	1280	valid
15.0ms	28×	body	640	valid
10.0ms	25×	body	320	valid
2.0ms	9×	body	160	valid

simplify621.0ms

Counts

1 → 1

Iterations

Iter	Nodes
7	610
6	610
5	603
4	447
3	163
2	53
1	28
0	12

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.8b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* sin x) cos) (* (* sin x) cos))
0.5b	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
5.5b	(* (* sin x) cos)
5.5b	(* (* sin x) cos)

rewrite321.0ms

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×	`insert-posit16` `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 → 138

Calls

4 calls:

112.0ms	(* (* (* sin x) cos) (* (* sin x) cos))
140.0ms	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
29.0ms	(* (* sin x) cos)
35.0ms	(* (* sin x) cos)

series313.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (* (* sin x) cos) (* (* sin x) cos))
133.0ms	(/ (cos (* 2 x)) (* (* (* sin x) cos) (* (* sin x) cos)))
47.0ms	(* (* sin x) cos)
49.0ms	(* (* sin x) cos)

simplify12.1s

Counts

150 → 150

Iterations

Iter	Nodes
3	16995
2	1803
1	412
0	143

prune1.6s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* cos x) sin) (* (* cos x) sin))
0.5b	(/ (cos (* 2 x)) (* (* (* cos x) sin) (* (* cos x) sin)))
3.9b	(* (* cos x) sin)
3.9b	(* (* cos x) sin)

rewrite278.0ms

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×	`insert-posit16` `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 → 138

Calls

4 calls:

89.0ms	(* (* (* cos x) sin) (* (* cos x) sin))
124.0ms	(/ (cos (* 2 x)) (* (* (* cos x) sin) (* (* cos x) sin)))
33.0ms	(* (* cos x) sin)
29.0ms	(* (* cos x) sin)

series267.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (* (* cos x) sin) (* (* cos x) sin))
99.0ms	(/ (cos (* 2 x)) (* (* (* cos x) sin) (* (* cos x) sin)))
43.0ms	(* (* cos x) sin)
35.0ms	(* (* cos x) sin)

simplify12.9s

Counts

150 → 150

Iterations

Iter	Nodes
3	16995
2	1803
1	412
0	143

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (cos (* 2 x)))
0.4b	(/ (cbrt (cos (* 2 x))) (* (* cos x) sin))
3.9b	(* (* cos x) sin)
3.9b	(* (* cos x) sin)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
14×	`pow1`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `prod-exp` `cbrt-unprod`
6×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`associate-l` `*-commutative`
1×	`clear-num` `associate-/r*` `frac-2neg` `pow1/3` `div-inv`

Counts

4 → 80

Calls

4 calls:

6.0ms	(cbrt (cos (* 2 x)))
35.0ms	(/ (cbrt (cos (* 2 x))) (* (* cos x) sin))
22.0ms	(* (* cos x) sin)
15.0ms	(* (* cos x) sin)

series350.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt (cos (* 2 x)))
84.0ms	(/ (cbrt (cos (* 2 x))) (* (* cos x) sin))
49.0ms	(* (* cos x) sin)
52.0ms	(* (* cos x) sin)

simplify1.8s

Counts

92 → 92

Iterations

Iter	Nodes
3	3792
2	818
1	250
0	106

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

3.9b	(* (* cos x) sin)
15.7b	(cbrt (/ (cbrt (cos (* 2 x))) (* (* cos x) sin)))
15.7b	(cbrt (/ (cbrt (cos (* 2 x))) (* (* cos x) sin)))
15.7b	(cbrt (/ (cbrt (cos (* 2 x))) (* (* cos x) sin)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
18×	`times-frac`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-l` `*-commutative`

Counts

4 → 79

Calls

4 calls:

30.0ms	(* (* cos x) sin)
28.0ms	(cbrt (/ (cbrt (cos (* 2 x))) (* (* cos x) sin)))
17.0ms	(cbrt (/ (cbrt (cos (* 2 x))) (* (* cos x) sin)))
11.0ms	(cbrt (/ (cbrt (cos (* 2 x))) (* (* cos x) sin)))

series859.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* cos x) sin)
311.0ms	(cbrt (/ (cbrt (cos (* 2 x))) (* (* cos x) sin)))
260.0ms	(cbrt (/ (cbrt (cos (* 2 x))) (* (* cos x) sin)))
239.0ms	(cbrt (/ (cbrt (cos (* 2 x))) (* (* cos x) sin)))

simplify1.1s

Counts

91 → 91

Iterations

Iter	Nodes
3	2406
2	745
1	277
0	126

prune1.4s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes227.0ms

Accuracy

0% (2.9b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	21
1	21
0	16

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.2s	8980×	body	80	valid
1.4s	835×	body	1280	valid
919.0ms	1024×	body	640	valid
343.0ms	579×	body	320	valid
125.0ms	313×	body	160	valid