Details

sample141.0ms

Algorithm

intervals

Results

53.0ms	284×	body	80	valid
29.0ms	27×	body	1280	valid
26.0ms	35×	body	640	valid
10.0ms	17×	body	320	valid
4.0ms	10×	body	160	valid

simplify1.2s

Counts: 1 → 1

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.5b

localize29.0ms

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))

rewrite225.0ms

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:

Slowest

104.0ms	(* (* (* x cos) sin) (* (* x cos) sin))
77.0ms	(/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))
21.0ms	(* (* x cos) sin)
21.0ms	(* (* x cos) sin)

series257.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

112.0ms	(/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))
73.0ms	(* (* (* x cos) sin) (* (* x cos) sin))
37.0ms	(* (* x cos) sin)
35.0ms	(* (* x cos) sin)

simplify480.0ms

Counts: 150 → 150

prune1.7s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

4.3b	(* cos (* sin x))
4.3b	(* cos (* sin x))
0.4b	(/ (cos (* 2 x)) (* (* cos (* sin x)) (* cos (* sin x))))
0.3b	(* (* cos (* sin x)) (* cos (* sin x)))

rewrite214.0ms

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:

Slowest

90.0ms	(* (* cos (* sin x)) (* cos (* sin x)))
88.0ms	(/ (cos (* 2 x)) (* (* cos (* sin x)) (* cos (* sin x))))
18.0ms	(* cos (* sin x))
13.0ms	(* cos (* sin x))

series256.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

104.0ms	(/ (cos (* 2 x)) (* (* cos (* sin x)) (* cos (* sin x))))
78.0ms	(* (* cos (* sin x)) (* cos (* sin x)))
39.0ms	(* cos (* sin x))
35.0ms	(* cos (* sin x))

simplify974.0ms

Counts: 150 → 150

prune1.7s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

4.3b	(* cos (* sin x))
4.3b	(* cos (* sin x))
0.5b	(/ (cos (* 2 x)) (* cos (* sin x)))
0.2b	(/ (/ (cos (* 2 x)) (* cos (* sin x))) (* cos (* sin x)))

rewrite95.0ms

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×	`insert-posit16` `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 → 115

Calls

4 calls:

Slowest

38.0ms	(/ (/ (cos (* 2 x)) (* cos (* sin x))) (* cos (* sin x)))
23.0ms	(/ (cos (* 2 x)) (* cos (* sin x)))
17.0ms	(* cos (* sin x))
14.0ms	(* cos (* sin x))

series232.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

105.0ms	(/ (/ (cos (* 2 x)) (* cos (* sin x))) (* cos (* sin x)))
59.0ms	(/ (cos (* 2 x)) (* cos (* sin x)))
34.0ms	(* cos (* sin x))
33.0ms	(* cos (* sin x))

simplify653.0ms

Counts: 127 → 127

prune1.5s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

4.3b	(* cos (* sin x))
4.3b	(* cos (* sin x))
4.3b	(* cos (* sin x))
1.9b	(/ (* (sin x) (sin x)) (* cos (* sin x)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-cbrt-cube` `add-exp-log`
19×	`pow1`
18×	`prod-exp` `cbrt-unprod`
9×	`associate-l` `pow-prod-down`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-undiv` `div-exp`
4×	`insert-posit16` `add-log-exp`
3×	`associate-r` `*-commutative`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `div-sub` `sqr-sin` `div-inv` `sin-mult` `associate-/l` `associate-/l/`

Counts

4 → 85

Calls

4 calls:

Slowest

32.0ms	(/ (* (sin x) (sin x)) (* cos (* sin x)))
19.0ms	(* cos (* sin x))
18.0ms	(* cos (* sin x))
18.0ms	(* cos (* sin x))

series162.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

60.0ms	(/ (* (sin x) (sin x)) (* cos (* sin x)))
36.0ms	(* cos (* sin x))
35.0ms	(* cos (* sin x))
31.0ms	(* cos (* sin x))

simplify4.3s

Counts: 97 → 97

prune1.3s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

regimes443.0ms

Accuracy

0% (2.6b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 2.7b

bsearch3.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.7s	9110×	body	80	valid
836.0ms	954×	body	640	valid
826.0ms	783×	body	1280	valid
348.0ms	587×	body	320	valid
126.0ms	338×	body	160	valid