Details

sample152.0ms

Algorithm

intervals

Results

62.0ms	289×	body	80	valid
28.0ms	28×	body	1280	valid
27.0ms	34×	body	640	valid
10.0ms	20×	body	320	valid
5.0ms	13×	body	160	valid

simplify902.0ms

Counts: 1 → 1

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.7b

localize18.0ms

Local error

Found 4 expressions with local error:

4.5b	(* sin (* x cos))
4.5b	(* sin (* x cos))
0.9b	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
0.3b	(* (* sin (* x cos)) (* sin (* x cos)))

rewrite197.0ms

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

82.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
75.0ms	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
19.0ms	(* sin (* x cos))
17.0ms	(* sin (* x cos))

series247.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

101.0ms	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
70.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
40.0ms	(* sin (* x cos))
36.0ms	(* sin (* x cos))

simplify611.0ms

Counts: 150 → 150

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.7b

localize17.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (* cos x) sin)
4.5b	(* (* cos x) sin)
0.4b	(/ (cos (* x 2)) (* (* cos x) sin))
0.2b	(/ (/ (cos (* x 2)) (* (* cos x) sin)) (* (* cos x) sin))

rewrite91.0ms

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×	`insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-l` `-commutative`
1×	`associate-/l/`

Counts

4 → 113

Calls

4 calls:

Slowest

37.0ms	(/ (/ (cos (* x 2)) (* (* cos x) sin)) (* (* cos x) sin))
24.0ms	(/ (cos (* x 2)) (* (* cos x) sin))
14.0ms	(* (* cos x) sin)
14.0ms	(* (* cos x) sin)

series185.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

82.0ms	(/ (/ (cos (* x 2)) (* (* cos x) sin)) (* (* cos x) sin))
44.0ms	(/ (cos (* x 2)) (* (* cos x) sin))
31.0ms	(* (* cos x) sin)
28.0ms	(* (* cos x) sin)

simplify603.0ms

Counts: 125 → 125

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (* cos x) sin)
4.5b	(* (* cos x) sin)
0.4b	(/ 1 (* (* cos x) sin))
0.4b	(/ (cos (* x 2)) (* (* cos x) sin))

rewrite104.0ms

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×	`insert-posit16` `add-log-exp`
3×	`rec-exp` `1-exp` `pow-flip`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-l` `-commutative` `div-inv`
1×	`inv-pow`

Counts

4 → 96

Calls

4 calls:

Slowest

31.0ms	(/ 1 (* (* cos x) sin))
30.0ms	(/ (cos (* x 2)) (* (* cos x) sin))
23.0ms	(* (* cos x) sin)
18.0ms	(* (* cos x) sin)

series164.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

51.0ms	(/ (cos (* x 2)) (* (* cos x) sin))
41.0ms	(* (* cos x) sin)
41.0ms	(* (* cos x) sin)
30.0ms	(/ 1 (* (* cos x) sin))

simplify2.3s

Counts: 108 → 108

prune959.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (* cos x) sin)
4.1b	(/ (/ (cos (* x 2)) (* cos x)) sin)
0.9b	(/ (cos (* x 2)) (* cos x))
0.2b	(/ (/ (/ (cos (* x 2)) (* cos x)) sin) (* (* cos x) sin))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

121×	`times-frac`
77×	`add-cbrt-cube` `add-exp-log`
51×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
35×	`associate-/l*`
34×	`cbrt-undiv` `div-exp`
20×	`prod-exp` `cbrt-unprod`
15×	`div-inv`
9×	`pow1`
5×	`associate-/r*`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `pow-prod-down`
2×	`associate-/l/`
1×	`associate-l` `*-commutative`

Counts

4 → 177

Calls

4 calls:

Slowest

45.0ms	(/ (/ (/ (cos (* x 2)) (* cos x)) sin) (* (* cos x) sin))
24.0ms	(/ (/ (cos (* x 2)) (* cos x)) sin)
18.0ms	(* (* cos x) sin)
16.0ms	(/ (cos (* x 2)) (* cos x))

series213.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

82.0ms	(/ (/ (/ (cos (* x 2)) (* cos x)) sin) (* (* cos x) sin))
55.0ms	(/ (cos (* x 2)) (* cos x))
43.0ms	(/ (/ (cos (* x 2)) (* cos x)) sin)
32.0ms	(* (* cos x) sin)

simplify1.1s

Counts: 189 → 189

prune1.6s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes239.0ms

Accuracy

18.4% (2.3b remaining)

Error of 2.4b against oracle of 0.1b and baseline of 3.0b

bsearch158.0ms

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.9s	8905×	body	80	valid
1.2s	769×	body	1280	valid
931.0ms	988×	body	640	valid
304.0ms	577×	body	320	valid
180.0ms	356×	body	160	valid