Details

sample139.0ms

Algorithm

intervals

Results

54.0ms	292×	body	80	valid
25.0ms	24×	body	1280	valid
22.0ms	30×	body	640	valid
15.0ms	29×	body	320	valid
2.0ms	6×	body	160	valid

simplify16.7s

Counts: 1 → 1

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.2b

localize26.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (* sin cos) x)
5.1b	(* (* sin cos) x)
0.3b	(* (* (* sin cos) x) (* (* sin cos) x))
0.2b	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))

rewrite211.0ms

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

Calls

4 calls:

Slowest

93.0ms	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
75.0ms	(* (* (* sin cos) x) (* (* sin cos) x))
23.0ms	(* (* sin cos) x)
15.0ms	(* (* sin cos) x)

series202.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

84.0ms	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
60.0ms	(* (* (* sin cos) x) (* (* sin cos) x))
31.0ms	(* (* sin cos) x)
26.0ms	(* (* sin cos) x)

simplify491.0ms

Counts: 158 → 158

prune1.3s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 2.8b

localize41.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (* sin cos) x)
5.1b	(* (* sin cos) x)
0.3b	(* (* (* sin cos) x) (* (* sin cos) x))
0.1b	(/ 1 (/ (* (* (* sin cos) x) (* (* sin cos) x)) (cos (* 2 x))))

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

205×	`add-exp-log`
129×	`pow1`
114×	`prod-exp`
109×	`add-cbrt-cube`
72×	`pow-prod-down`
60×	`cbrt-unprod`
52×	`div-exp`
33×	`times-frac`
22×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
21×	`cbrt-undiv`
11×	`rec-exp` `1-exp`
9×	`pow-sqr` `pow-prod-up`
7×	`associate-/r` `associate-r*`
5×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-plus` `associate-l` `-commutative` `associate-/l`
1×	`pow2` `clear-num` `frac-2neg` `swap-sqr` `associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 196

Calls

4 calls:

Slowest

164.0ms	(/ 1 (/ (* (* (* sin cos) x) (* (* sin cos) x)) (cos (* 2 x))))
120.0ms	(* (* (* sin cos) x) (* (* sin cos) x))
30.0ms	(* (* sin cos) x)
16.0ms	(* (* sin cos) x)

series322.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

157.0ms	(/ 1 (/ (* (* (* sin cos) x) (* (* sin cos) x)) (cos (* 2 x))))
92.0ms	(* (* (* sin cos) x) (* (* sin cos) x))
43.0ms	(* (* sin cos) x)
30.0ms	(* (* sin cos) x)

simplify1.2s

Counts: 208 → 208

prune2.4s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

5.9b	(* sin (* x cos))
5.9b	(* sin (* x cos))
0.3b	(* (* sin (* x cos)) (* sin (* x cos)))
0.2b	(/ (cos (* x 2)) (* (* sin (* x cos)) (* sin (* x cos))))

rewrite267.0ms

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` `swap-sqr` `div-inv`

Counts

4 → 145

Calls

4 calls:

Slowest

101.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
101.0ms	(/ (cos (* x 2)) (* (* sin (* x cos)) (* sin (* x cos))))
33.0ms	(* sin (* x cos))
28.0ms	(* sin (* x cos))

series246.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

104.0ms	(/ (cos (* x 2)) (* (* sin (* x cos)) (* sin (* x cos))))
85.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
29.0ms	(* sin (* x cos))
28.0ms	(* sin (* x cos))

simplify773.0ms

Counts: 157 → 157

prune1.7s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

5.9b	(* sin (* x cos))
5.9b	(* sin (* x cos))
0.5b	(/ (cos (* x 2)) (* sin (* x cos)))
0.2b	(/ (* sin (* x cos)) (/ (cos (* x 2)) (* sin (* x cos))))

rewrite143.0ms

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`
8×	`associate-/r*`
6×	`associate-l` `pow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r` `*-commutative`
1×	`associate-/r/`

Counts

4 → 121

Calls

4 calls:

Slowest

39.0ms	(/ (* sin (* x cos)) (/ (cos (* x 2)) (* sin (* x cos))))
37.0ms	(/ (cos (* x 2)) (* sin (* x cos)))
32.0ms	(* sin (* x cos))
29.0ms	(* sin (* x cos))

series374.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

206.0ms	(/ (* sin (* x cos)) (/ (cos (* x 2)) (* sin (* x cos))))
72.0ms	(/ (cos (* x 2)) (* sin (* x cos)))
48.0ms	(* sin (* x cos))
47.0ms	(* sin (* x cos))

simplify881.0ms

Counts: 133 → 133

prune1.5s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes273.0ms

Accuracy

0% (2.8b remaining)

Error of 2.9b against oracle of 0.1b and baseline of 2.9b

bsearch2.0ms

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.0s	9044×	body	80	valid
1.4s	849×	body	1280	valid
870.0ms	957×	body	640	valid
833.0ms	626×	body	320	valid
118.0ms	284×	body	160	valid