Details

sample118.0ms

Algorithm

intervals

Results

45.0ms	285×	body	80	valid
25.0ms	25×	body	1280	valid
19.0ms	29×	body	640	valid
12.0ms	23×	body	320	valid
2.0ms	7×	body	160	valid

simplify1.0s

Counts: 1 → 1

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.3b

localize20.0ms

Local error

Found 4 expressions with local error:

4.7b	(* sin (* x cos))
4.7b	(* sin (* x cos))
0.6b	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
0.2b	(* (* sin (* x cos)) (* sin (* x cos)))

rewrite239.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 146

Calls

4 calls:

Slowest

99.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
97.0ms	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
22.0ms	(* sin (* x cos))
15.0ms	(* sin (* x cos))

series284.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

100.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
88.0ms	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
64.0ms	(* sin (* x cos))
32.0ms	(* sin (* x cos))

simplify616.0ms

Counts: 160 → 158

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.7b

localize36.0ms

Local error

Found 4 expressions with local error:

4.7b	(* sin (* x cos))
4.7b	(* sin (* x cos))
0.7b	(/ (cos (* 2 x)) (* sin (* x cos)))
0.2b	(/ (/ (cos (* 2 x)) (* sin (* x cos))) (* sin (* x cos)))

rewrite144.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 123

Calls

4 calls:

Slowest

55.0ms	(/ (/ (cos (* 2 x)) (* sin (* x cos))) (* sin (* x cos)))
46.0ms	(/ (cos (* 2 x)) (* sin (* x cos)))
24.0ms	(* sin (* x cos))
16.0ms	(* sin (* x cos))

series196.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

76.0ms	(/ (/ (cos (* 2 x)) (* sin (* x cos))) (* sin (* x cos)))
44.0ms	(* sin (* x cos))
39.0ms	(/ (cos (* 2 x)) (* sin (* x cos)))
36.0ms	(* sin (* x cos))

simplify645.0ms

Counts: 147 → 135

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.6b

localize33.0ms

Local error

Found 4 expressions with local error:

4.7b	(* sin (* x cos))
2.6b	(* (cbrt sin) (* x cos))
2.4b	(* (* (cbrt sin) (cbrt sin)) (* (cbrt sin) (* x cos)))
0.7b	(/ (cos (* 2 x)) (* (* (cbrt sin) (cbrt sin)) (* (cbrt sin) (* x cos))))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log`
42×	`add-cbrt-cube`
36×	`prod-exp` `cbrt-unprod`
35×	`pow1`
21×	`pow-prod-down`
10×	`associate-l`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `times-frac` `associate-r` `-commutative` `associate-/l`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-sub` `cos-2` `div-inv`

Counts

4 → 111

Calls

4 calls:

Slowest

67.0ms	(* (* (cbrt sin) (cbrt sin)) (* (cbrt sin) (* x cos)))
59.0ms	(/ (cos (* 2 x)) (* (* (cbrt sin) (cbrt sin)) (* (cbrt sin) (* x cos))))
20.0ms	(* (cbrt sin) (* x cos))
19.0ms	(* sin (* x cos))

series289.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

111.0ms	(* (cbrt sin) (* x cos))
89.0ms	(/ (cos (* 2 x)) (* (* (cbrt sin) (cbrt sin)) (* (cbrt sin) (* x cos))))
52.0ms	(* (* (cbrt sin) (cbrt sin)) (* (cbrt sin) (* x cos)))
37.0ms	(* sin (* x cos))

simplify568.0ms

Counts: 125 → 123

prune1.3s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 1.6b

localize39.0ms

Local error

Found 4 expressions with local error:

4.7b	(* sin (* x cos))
2.6b	(* (cbrt sin) (* x cos))
1.4b	(* (cbrt sin) (* (cbrt sin) (* x cos)))
1.2b	(* (cbrt sin) (* (cbrt sin) (* (cbrt sin) (* x cos))))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
21×	`add-cbrt-cube` `associate-l`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 102

Calls

4 calls:

Slowest

132.0ms	(* (cbrt sin) (* (cbrt sin) (* (cbrt sin) (* x cos))))
42.0ms	(* (cbrt sin) (* (cbrt sin) (* x cos)))
24.0ms	(* sin (* x cos))
21.0ms	(* (cbrt sin) (* x cos))

series411.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

181.0ms	(* (cbrt sin) (* (cbrt sin) (* x cos)))
139.0ms	(* (cbrt sin) (* x cos))
58.0ms	(* (cbrt sin) (* (cbrt sin) (* (cbrt sin) (* x cos))))
32.0ms	(* sin (* x cos))

simplify348.0ms

Counts: 110 → 114

prune1.1s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 1.6b

regimes254.0ms

Accuracy

0% (0.7b remaining)

Error of 2.9b against oracle of 2.2b and baseline of 2.9b

bsearch3.0ms

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.0s	9094×	body	80	valid
850.0ms	799×	body	1280	valid
673.0ms	926×	body	640	valid
636.0ms	585×	body	320	valid
114.0ms	278×	body	160	valid