Details

sample112.0ms

Algorithm

intervals

Results

46.0ms	53×	body	1280	valid
27.0ms	45×	body	640	valid
15.0ms	131×	body	80	valid
5.0ms	12×	body	320	valid
5.0ms	15×	body	160	valid

simplify287.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	313
6	313
5	275
4	171
3	90
2	43
1	20
0	11

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))
12.0b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
14×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
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×	`clear-num` `frac-2neg` `associate-/l*` `associate-/l/`

Counts

3 → 79

Calls

3 calls:

98.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
22.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
55.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series274.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
46.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
137.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.3s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	2720
1	413
0	163

prune477.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

50×	`times-frac`
38×	`add-sqr-sqrt`
33×	`*-un-lft-identity` `add-cube-cbrt`
31×	`add-cbrt-cube` `add-exp-log`
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×	`clear-num` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/`

Counts

3 → 110

Calls

3 calls:

9.0ms	(/ (sin x) (sin (* x 0.5)))
44.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
24.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series240.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(/ (sin x) (sin (* x 0.5)))
104.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
56.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify1.8s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	3509
1	560
0	211

prune691.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

49×	`times-frac`
33×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
28×	`add-cbrt-cube` `add-exp-log`
19×	`associate-/r*`
13×	`cbrt-undiv` `div-exp`
7×	`associate-/l*`
5×	`div-inv`
4×	`prod-exp` `cbrt-unprod`
3×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
1×	`associate-*r/` `associate-/r/` `associate-/l/`

Counts

3 → 105

Calls

3 calls:

18.0ms	(/ (sin (* 0.5 x)) 3.0)
9.0ms	(/ (sin x) (sin (* x 0.5)))
19.0ms	(/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* x 0.5))))

series241.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ (sin (* 0.5 x)) 3.0)
75.0ms	(/ (sin x) (sin (* x 0.5)))
98.0ms	(/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* x 0.5))))

simplify1.6s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	3693
1	559
0	214

prune612.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin (* 0.5 x)) 3.0)
0.2b	(/ 8.0 (/ (sin x) (/ (sin (* 0.5 x)) 3.0)))
0.2b	(/ (sin x) (/ (sin (* 0.5 x)) 3.0))
0.3b	(/ (/ 8.0 (/ (sin x) (/ (sin (* 0.5 x)) 3.0))) (/ 1 (sin (* x 0.5))))

rewrite603.0ms

Algorithm

rewrite-expression-head

Rules

8123×	`times-frac`
3305×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
344×	`div-inv`
146×	`associate-/l*`
80×	`add-exp-log`
73×	`associate-/r*`
63×	`associate-/r/`
58×	`div-exp`
52×	`add-cbrt-cube`
34×	`cbrt-undiv`
4×	`pow1` `rec-exp` `clear-num` `frac-2neg` `1-exp` `add-log-exp`
1×	`associate-/l/`

Counts

4 → 2260

Calls

4 calls:

9.0ms	(/ (sin (* 0.5 x)) 3.0)
19.0ms	(/ 8.0 (/ (sin x) (/ (sin (* 0.5 x)) 3.0)))
10.0ms	(/ (sin x) (/ (sin (* 0.5 x)) 3.0))
159.0ms	(/ (/ 8.0 (/ (sin x) (/ (sin (* 0.5 x)) 3.0))) (/ 1 (sin (* x 0.5))))

series347.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (sin (* 0.5 x)) 3.0)
75.0ms	(/ 8.0 (/ (sin x) (/ (sin (* 0.5 x)) 3.0)))
69.0ms	(/ (sin x) (/ (sin (* 0.5 x)) 3.0))
140.0ms	(/ (/ 8.0 (/ (sin x) (/ (sin (* 0.5 x)) 3.0))) (/ 1 (sin (* x 0.5))))

simplify2.0s

Counts

2272 → 2272

Iterations

Iter	Nodes
done	5000
0	3719

prune16.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	13

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.4s	1276×	body	640	valid
1.3s	1456×	body	1280	valid
779.0ms	4299×	body	80	valid
328.0ms	635×	body	320	valid
131.0ms	334×	body	160	valid