Details

sample136.0ms

Algorithm

intervals

Results

47.0ms	284×	body	80	valid
24.0ms	27×	body	1280	valid
24.0ms	35×	body	640	valid
16.0ms	17×	body	320	valid
3.0ms	10×	body	160	valid

simplify1.3s

Counts: 1 → 1

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.5b

localize31.0ms

Local error

Found 4 expressions with local error:

6.5b	(* (* x cos) sin)
6.5b	(* (* x cos) sin)
0.4b	(/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))
0.3b	(* (* (* x cos) sin) (* (* x cos) sin))

rewrite260.0ms

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

110.0ms	(* (* (* x cos) sin) (* (* x cos) sin))
105.0ms	(/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))
25.0ms	(* (* x cos) sin)
15.0ms	(* (* x cos) sin)

series270.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

95.0ms	(/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))
92.0ms	(* (* (* x cos) sin) (* (* x cos) sin))
42.0ms	(* (* x cos) sin)
41.0ms	(* (* x cos) sin)

simplify538.0ms

Counts: 158 → 158

prune1.5s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

6.5b	(* (* x cos) sin)
6.5b	(* (* x cos) sin)
0.5b	(/ (cos (* 2 x)) (* (* x cos) sin))
0.2b	(/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin))

rewrite106.0ms

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-r` `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-l` `-commutative` `cos-2`
1×	`associate-/l/`

Counts

4 → 123

Calls

4 calls:

Slowest

38.0ms	(/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin))
25.0ms	(/ (cos (* 2 x)) (* (* x cos) sin))
20.0ms	(* (* x cos) sin)
19.0ms	(* (* x cos) sin)

series204.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

103.0ms	(/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin))
44.0ms	(/ (cos (* 2 x)) (* (* x cos) sin))
28.0ms	(* (* x cos) sin)
28.0ms	(* (* x cos) sin)

simplify683.0ms

Counts: 135 → 135

prune1.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

6.5b	(* (* x cos) sin)
6.5b	(* (* x cos) sin)
0.5b	(/ (cos (* 2 x)) (* (* x cos) sin))
0.5b	(/ 1 (* (* x cos) sin))

rewrite81.0ms

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-r` `associate-/l*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `pow-flip`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-l` `-commutative` `div-inv`
1×	`div-sub` `cos-2` `inv-pow`

Counts

4 → 105

Calls

4 calls:

Slowest

25.0ms	(/ (cos (* 2 x)) (* (* x cos) sin))
24.0ms	(/ 1 (* (* x cos) sin))
17.0ms	(* (* x cos) sin)
14.0ms	(* (* x cos) sin)

series128.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

43.0ms	(/ (cos (* 2 x)) (* (* x cos) sin))
30.0ms	(* (* x cos) sin)
29.0ms	(* (* x cos) sin)
25.0ms	(/ 1 (* (* x cos) sin))

simplify3.4s

Counts: 117 → 117

prune1.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (* sin cos) x)
5.1b	(* (* sin cos) x)
0.4b	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
0.3b	(* (* (* sin cos) x) (* (* sin cos) x))

rewrite280.0ms

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

138.0ms	(* (* (* sin cos) x) (* (* sin cos) x))
104.0ms	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
19.0ms	(* (* sin cos) x)
15.0ms	(* (* sin cos) x)

series259.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

92.0ms	(/ (cos (* 2 x)) (* (* (* sin cos) x) (* (* sin cos) x)))
82.0ms	(* (* (* sin cos) x) (* (* sin cos) x))
46.0ms	(* (* sin cos) x)
39.0ms	(* (* sin cos) x)

simplify677.0ms

Counts: 158 → 158

prune2.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

regimes538.0ms

Accuracy

0% (2.9b remaining)

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

bsearch5.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.2s	9110×	body	80	valid
859.0ms	783×	body	1280	valid
857.0ms	954×	body	640	valid
614.0ms	338×	body	160	valid
361.0ms	587×	body	320	valid