Details

sample61.0ms

Algorithm

intervals

Results

23.0ms	47×	body	1280	valid
15.0ms	51×	body	640	valid
8.0ms	126×	body	80	valid
5.0ms	22×	body	320	valid
1.0ms	10×	body	160	valid

simplify185.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	16
1	20	16
2	42	16
3	90	16
4	168	16
5	237	16
6	255	16
done	255	16

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))
15.4b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
13×	`times-frac`
12×	`prod-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-r`
5×	`associate-*l/`
4×	`pow-prod-down`
3×	`associate-/r*` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/l/` `associate-/l*`

Counts

3 → 79

Calls

3 calls:

19.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
10.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
21.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series174.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
36.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
79.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify788.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (221.0ms)

Iter	Nodes	Cost
0	163	1474
1	403	1285
2	1604	1016
done	5000	1016

prune209.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
0.2b	(/ (sin x) (sin (* x 0.5)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

50×	`times-frac`
38×	`add-sqr-sqrt`
33×	`add-cube-cbrt` `*-un-lft-identity`
31×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
13×	`cbrt-undiv` `div-exp` `associate-l`
6×	`prod-exp` `cbrt-unprod`
5×	`pow1` `div-inv`
4×	`associate-/l*`
3×	`associate-r` `add-log-exp`
2×	`frac-2neg` `associate-*l/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/`

Counts

3 → 110

Calls

3 calls:

11.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
3.0ms	(/ (sin x) (sin (* x 0.5)))
10.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
40.0ms	(/ (sin x) (sin (* x 0.5)))
36.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify934.0ms

Counts

119 → 119

Iterations

Useful iterations: 2 (414.0ms)

Iter	Nodes	Cost
0	211	2048
1	528	1898
2	2052	1608
done	5001	1608

prune474.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (* 8.0 (sin (* x 0.5))) 3.0)
0.2b	(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* x 0.5))))
0.2b	(/ (sin x) (sin (* x 0.5)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

217×	`times-frac`
97×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
31×	`add-exp-log` `add-cbrt-cube`
25×	`div-inv`
19×	`associate-/r*`
16×	`cbrt-undiv` `div-exp`
11×	`associate-/l*`
3×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 183

Calls

3 calls:

5.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
10.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* x 0.5))))
4.0ms	(/ (sin x) (sin (* x 0.5)))

series152.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
76.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* x 0.5))))
41.0ms	(/ (sin x) (sin (* x 0.5)))

simplify1.2s

Counts

192 → 192

Iterations

Useful iterations: 2 (587.0ms)

Iter	Nodes	Cost
0	344	4716
1	992	4509
2	3649	4080
done	5000	4080

prune516.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sin (* x 0.5)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))
0.3b	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x))
0.4b	(/ (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (/ 1 (sin (* x 0.5))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

227×	`times-frac`
111×	`add-sqr-sqrt`
106×	`add-cube-cbrt` `*-un-lft-identity`
82×	`add-exp-log`
52×	`add-cbrt-cube`
47×	`div-exp`
26×	`cbrt-undiv` `div-inv`
19×	`associate-/r*`
13×	`associate-l`
12×	`prod-exp`
11×	`associate-/l*`
8×	`cbrt-unprod`
7×	`pow1`
5×	`rec-exp` `1-exp`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num`
2×	`associate-*l/` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow`

Counts

4 → 234

Calls

4 calls:

3.0ms	(/ 1 (sin (* x 0.5)))
10.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
7.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x))
12.0ms	(/ (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (/ 1 (sin (* x 0.5))))

series212.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 1 (sin (* x 0.5)))
37.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
60.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x))
79.0ms	(/ (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (/ 1 (sin (* x 0.5))))

simplify1.2s

Counts

246 → 246

Iterations

Useful iterations: 2 (661.0ms)

Iter	Nodes	Cost
0	398	5911
1	1134	5209
2	3511	4481
done	5000	4481

prune393.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	13	16
done	13	16

end0.0ms

sample1.7s

Algorithm

intervals

Results

751.0ms	1519×	body	1280	valid
411.0ms	1285×	body	640	valid
274.0ms	4288×	body	80	valid
139.0ms	607×	body	320	valid
44.0ms	301×	body	160	valid