Details

sample104.0ms

Algorithm

intervals

Results

43.0ms	282×	body	80	valid
22.0ms	27×	body	1280	valid
15.0ms	26×	body	640	valid
5.0ms	13×	body	320	valid
2.0ms	8×	body	160	valid

simplify898.0ms

Counts: 1 → 1

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.6b

localize26.0ms

Local error

Found 4 expressions with local error:

7.5b	(* sin (* x cos))
7.5b	(* sin (* x cos))
0.5b	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
0.2b	(* (* sin (* x cos)) (* sin (* x cos)))

rewrite205.0ms

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

89.0ms	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
70.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
23.0ms	(* sin (* x cos))
20.0ms	(* sin (* x cos))

series222.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

82.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
80.0ms	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
31.0ms	(* sin (* x cos))
28.0ms	(* sin (* x cos))

simplify649.0ms

Counts: 158 → 158

prune1.4s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.2b

localize24.0ms

Local error

Found 4 expressions with local error:

7.5b	(* sin (* x cos))
7.5b	(* sin (* x cos))
0.8b	(/ (cos (* 2 x)) (* sin (* x cos)))
0.8b	(/ 1 (* sin (* x cos)))

rewrite94.0ms

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-l` `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-r` `-commutative` `div-inv`
1×	`div-sub` `cos-2` `inv-pow`

Counts

4 → 105

Calls

4 calls:

Slowest

28.0ms	(/ 1 (* sin (* x cos)))
26.0ms	(/ (cos (* 2 x)) (* sin (* x cos)))
19.0ms	(* sin (* x cos))
19.0ms	(* sin (* x cos))

series143.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

41.0ms	(* sin (* x cos))
40.0ms	(/ (cos (* 2 x)) (* sin (* x cos)))
38.0ms	(* sin (* x cos))
24.0ms	(/ 1 (* sin (* x cos)))

simplify2.7s

Counts: 117 → 117

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.2b

localize317.0ms

Local error

Found 4 expressions with local error:

7.5b	(* sin (* x cos))
7.5b	(* sin (* x cos))
7.5b	(* sin (* x cos))
1.4b	(/ (* (sin x) (sin x)) (* sin (* x cos)))

rewrite106.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 93

Calls

4 calls:

Slowest

33.0ms	(/ (* (sin x) (sin x)) (* sin (* x cos)))
25.0ms	(* sin (* x cos))
23.0ms	(* sin (* x cos))
23.0ms	(* sin (* x cos))

series179.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

61.0ms	(/ (* (sin x) (sin x)) (* sin (* x cos)))
42.0ms	(* sin (* x cos))
42.0ms	(* sin (* x cos))
35.0ms	(* sin (* x cos))

simplify5.5s

Counts: 105 → 105

prune1.4s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.2b

localize44.0ms

Local error

Found 4 expressions with local error:

7.5b	(* sin (* x cos))
7.5b	(* sin (* x cos))
0.5b	(/ 1 (/ (* (* sin (* x cos)) (* sin (* x cos))) (cos (* 2 x))))
0.2b	(* (* sin (* x cos)) (* sin (* x cos)))

rewrite240.0ms

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-l*`
5×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-plus` `associate-r` `-commutative` `associate-/l`
1×	`pow2` `clear-num` `frac-2neg` `swap-sqr` `associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 196

Calls

4 calls:

Slowest

126.0ms	(/ 1 (/ (* (* sin (* x cos)) (* sin (* x cos))) (cos (* 2 x))))
66.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
29.0ms	(* sin (* x cos))
14.0ms	(* sin (* x cos))

series296.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

136.0ms	(/ 1 (/ (* (* sin (* x cos)) (* sin (* x cos))) (cos (* 2 x))))
90.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
42.0ms	(* sin (* x cos))
29.0ms	(* sin (* x cos))

simplify1.2s

Counts: 208 → 208

prune2.4s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 3.2b

regimes542.0ms

Accuracy

0% (0.4b remaining)

Error of 2.7b against oracle of 2.3b and baseline of 2.7b

bsearch3.0ms

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.0s	9138×	body	80	valid
974.0ms	835×	body	1280	valid
871.0ms	956×	body	640	valid
311.0ms	543×	body	320	valid
163.0ms	318×	body	160	valid