Details

sample96.0ms

Algorithm

intervals

Results

35.0ms	45×	body	1280	valid
17.0ms	144×	body	80	valid
16.0ms	29×	body	640	valid
9.0ms	26×	body	320	valid
3.0ms	12×	body	160	valid

simplify366.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	275
7	275
6	274
5	226
4	134
3	71
2	35
1	20
0	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize35.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))
15.4b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite206.0ms

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:

67.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
40.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
95.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series242.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
42.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
112.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.9s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1399
1	411
0	163

prune415.0ms

Pruning

12 alts after pruning (12 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))))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite97.0ms

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)))
38.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
44.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series220.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(/ (sin x) (sin (* x 0.5)))
110.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
48.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify1.9s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	2024
1	549
0	211

prune641.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 85

Calls

3 calls:

39.0ms	(* (/ (sin x) (sin (* x 0.5))) 3.0)
40.0ms	(/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* x 0.5))) 3.0))
18.0ms	(/ (sin x) (sin (* x 0.5)))

series239.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(* (/ (sin x) (sin (* x 0.5))) 3.0)
91.0ms	(/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* x 0.5))) 3.0))
53.0ms	(/ (sin x) (sin (* x 0.5)))

simplify1.5s

Counts

94 → 94

Iterations

Iter	Nodes
done	5049
2	2009
1	425
0	165

prune516.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 211

Calls

4 calls:

25.0ms	(/ 8.0 (/ (sin x) (sin (* x 0.5))))
18.0ms	(/ (sin (* x 0.5)) 3.0)
13.0ms	(/ (sin x) (sin (* x 0.5)))
63.0ms	(* (/ 8.0 (/ (sin x) (sin (* x 0.5)))) (/ (sin (* x 0.5)) 3.0))

series343.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(/ 8.0 (/ (sin x) (sin (* x 0.5))))
69.0ms	(/ (sin (* x 0.5)) 3.0)
55.0ms	(/ (sin x) (sin (* x 0.5)))
115.0ms	(* (/ 8.0 (/ (sin x) (sin (* x 0.5)))) (/ (sin (* x 0.5)) 3.0))

simplify2.4s

Counts

223 → 223

Iterations

Iter	Nodes
done	5002
2	3783
1	961
0	327

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.8s	1528×	body	1280	valid
1.4s	4292×	body	80	valid
937.0ms	1196×	body	640	valid
384.0ms	654×	body	320	valid
99.0ms	330×	body	160	valid