Details

sample119.0ms

Algorithm

intervals

Results

41.0ms	321×	body	80	valid
17.0ms	24×	body	1280	valid
15.0ms	28×	body	640	valid
10.0ms	26×	body	320	valid
1.0ms	5×	body	160	valid

simplify5.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5009
6	4062
5	1352
4	542
3	196
2	66
1	28
0	12

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* sin (* x cos)) (* sin (* x cos)))
0.3b	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
6.2b	(* sin (* x cos))
6.2b	(* sin (* x cos))

rewrite204.0ms

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:

72.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
85.0ms	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
25.0ms	(* sin (* x cos))
18.0ms	(* sin (* x cos))

series244.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
84.0ms	(/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos))))
33.0ms	(* sin (* x cos))
38.0ms	(* sin (* x cos))

simplify1.6s

Counts

158 → 158

Iterations

Iter	Nodes
done	5016
2	1756
1	403
0	147

prune590.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (* (* sin (* x cos)) (* sin (* x cos))) (cos (* 2 x))))
0.2b	(* (* sin (* x cos)) (* sin (* x cos)))
6.2b	(* sin (* x cos))
6.2b	(* sin (* x cos))

rewrite398.0ms

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:

191.0ms	(/ 1 (/ (* (* sin (* x cos)) (* sin (* x cos))) (cos (* 2 x))))
138.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
30.0ms	(* sin (* x cos))
34.0ms	(* sin (* x cos))

series301.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(/ 1 (/ (* (* sin (* x cos)) (* sin (* x cos))) (cos (* 2 x))))
95.0ms	(* (* sin (* x cos)) (* sin (* x cos)))
46.0ms	(* sin (* x cos))
34.0ms	(* sin (* x cos))

simplify2.0s

Counts

208 → 208

Iterations

Iter	Nodes
done	5012
2	2945
1	645
0	235

prune679.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 1 (/ (* sin (* x cos)) 1)) (/ (* sin (* x cos)) (cos (* 2 x))))
0.4b	(/ 1 (/ (* sin (* x cos)) 1))
6.2b	(* sin (* x cos))
6.2b	(* sin (* x cos))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

536×	`times-frac`
513×	`add-exp-log`
314×	`div-exp`
188×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
162×	`prod-exp`
138×	`add-cbrt-cube`
80×	`1-exp`
70×	`cbrt-undiv`
65×	`div-inv`
36×	`cbrt-unprod`
35×	`rec-exp`
29×	`associate-/l*`
15×	`pow1`
14×	`associate-/r*`
10×	`associate-/r/`
6×	`associate-l` `pow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r` `*-commutative`
1×	`pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 452

Calls

4 calls:

75.0ms	(/ (/ 1 (/ (* sin (* x cos)) 1)) (/ (* sin (* x cos)) (cos (* 2 x))))
38.0ms	(/ 1 (/ (* sin (* x cos)) 1))
18.0ms	(* sin (* x cos))
14.0ms	(* sin (* x cos))

series207.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(/ (/ 1 (/ (* sin (* x cos)) 1)) (/ (* sin (* x cos)) (cos (* 2 x))))
20.0ms	(/ 1 (/ (* sin (* x cos)) 1))
30.0ms	(* sin (* x cos))
45.0ms	(* sin (* x cos))

simplify1.8s

Counts

464 → 464

Iterations

Iter	Nodes
done	5001
1	2002
0	675

prune2.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 1 (* cos (* sin x))) (* cos (* sin x)))
0.4b	(/ 1 (* cos (* sin x)))
3.8b	(* cos (* sin x))
3.8b	(* cos (* sin x))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

161×	`add-exp-log`
77×	`add-cbrt-cube`
72×	`prod-exp`
62×	`pow1`
54×	`div-exp`
30×	`pow-prod-down` `cbrt-unprod`
24×	`cbrt-undiv`
16×	`times-frac`
12×	`add-sqr-sqrt` `rec-exp` `*-un-lft-identity` `1-exp` `add-cube-cbrt` `pow-flip` `pow-div`
10×	`associate-/l*`
6×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `inv-pow` `add-log-exp`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-r` `-commutative`
1×	`associate-/l/`

Counts

4 → 161

Calls

4 calls:

43.0ms	(/ (/ 1 (* cos (* sin x))) (* cos (* sin x)))
41.0ms	(/ 1 (* cos (* sin x)))
22.0ms	(* cos (* sin x))
15.0ms	(* cos (* sin x))

series170.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (/ 1 (* cos (* sin x))) (* cos (* sin x)))
33.0ms	(/ 1 (* cos (* sin x)))
46.0ms	(* cos (* sin x))
36.0ms	(* cos (* sin x))

simplify1.4s

Counts

173 → 173

Iterations

Iter	Nodes
done	5016
2	1614
1	466
0	165

prune672.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes260.0ms

Accuracy

0% (2.6b remaining)

Error of 2.7b against oracle of 0.1b and baseline of 2.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.2s	9104×	body	80	valid
1.5s	816×	body	1280	valid
1.2s	975×	body	640	valid
361.0ms	546×	body	320	valid
139.0ms	346×	body	160	valid