Details

sample73.0ms

Algorithm

intervals

Results

24.0ms	41×	body	1280	valid
17.0ms	40×	body	640	valid
14.0ms	154×	body	80	valid
5.0ms	15×	body	320	valid
1.0ms	6×	body	160	valid

simplify368.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize40.0ms

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)))
17.0b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite232.0ms

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×	`expm1-log1p-u` `associate-/r*` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-/l*` `associate-/l/`

Counts

3 → 88

Calls

3 calls:

105.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
36.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
88.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series304.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
76.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
140.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify2.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1537
1	423
0	172

prune528.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 3 expressions with local error:

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

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
116×	`add-sqr-sqrt`
95×	`*-un-lft-identity` `add-cube-cbrt`
44×	`associate-l`
31×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r*`
13×	`cbrt-undiv` `div-exp` `associate-r`
11×	`div-inv`
6×	`prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
5×	`pow1`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 193

Calls

3 calls:

16.0ms	(/ (sin (* x 0.5)) (/ 3.0 8.0))
18.0ms	(/ (sin (* x 0.5)) (sin x))
62.0ms	(* (/ (sin (* x 0.5)) (/ 3.0 8.0)) (/ (sin (* x 0.5)) (sin x)))

series261.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (sin (* x 0.5)) (/ 3.0 8.0))
76.0ms	(/ (sin (* x 0.5)) (sin x))
139.0ms	(* (/ (sin (* x 0.5)) (/ 3.0 8.0)) (/ (sin (* x 0.5)) (sin x)))

simplify2.9s

Counts

202 → 202

Iterations

Iter	Nodes
done	5000
2	3547
1	928
0	312

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

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-r`
6×	`prod-exp` `cbrt-unprod`
5×	`pow1` `div-inv`
4×	`associate-/l*`
3×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/`

Counts

3 → 119

Calls

3 calls:

30.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (sin x)))
36.0ms	(/ (* (sin (* x 0.5)) (/ (sin (* x 0.5)) (sin x))) (/ 3.0 8.0))
26.0ms	(/ (sin (* x 0.5)) (sin x))

series285.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (sin x)))
134.0ms	(/ (* (sin (* x 0.5)) (/ (sin (* x 0.5)) (sin x))) (/ 3.0 8.0))
50.0ms	(/ (sin (* x 0.5)) (sin x))

simplify2.6s

Counts

128 → 128

Iterations

Iter	Nodes
done	5003
2	2202
1	590
0	228

prune716.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

324×	`times-frac`
223×	`add-sqr-sqrt`
172×	`*-un-lft-identity`
166×	`add-cube-cbrt`
100×	`add-exp-log`
53×	`div-exp`
52×	`add-cbrt-cube`
44×	`associate-r` `associate-l`
29×	`associate-/r*`
25×	`cbrt-undiv`
21×	`prod-exp`
19×	`div-inv`
15×	`unswap-sqr`
9×	`cbrt-unprod` `associate-/l*`
8×	`rec-exp` `1-exp`
7×	`pow1`
4×	`expm1-log1p-u` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 331

Calls

4 calls:

20.0ms	(/ 1 (/ (sin x) (sin (* x 0.5))))
24.0ms	(/ (sin (* x 0.5)) (/ 3.0 8.0))
15.0ms	(/ (sin x) (sin (* x 0.5)))
113.0ms	(* (/ (sin (* x 0.5)) (/ 3.0 8.0)) (/ 1 (/ (sin x) (sin (* x 0.5)))))

series359.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ 1 (/ (sin x) (sin (* x 0.5))))
72.0ms	(/ (sin (* x 0.5)) (/ 3.0 8.0))
93.0ms	(/ (sin x) (sin (* x 0.5)))
142.0ms	(* (/ (sin (* x 0.5)) (/ 3.0 8.0)) (/ 1 (/ (sin x) (sin (* x 0.5)))))

simplify2.0s

Counts

343 → 343

Iterations

Iter	Nodes
done	5000
1	1468
0	479

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.1s	1498×	body	1280	valid
1.1s	1262×	body	640	valid
1.0s	4285×	body	80	valid
261.0ms	628×	body	320	valid
86.0ms	327×	body	160	valid