Details

sample203.0ms

Algorithm

intervals

Results

68.0ms	44×	body	1280	valid
47.0ms	24×	body	320	valid
35.0ms	148×	body	80	valid
30.0ms	29×	body	640	valid
9.0ms	11×	body	160	valid

simplify331.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize46.0ms

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)))
15.1b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite212.0ms

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:

78.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
22.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
110.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series235.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
51.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
100.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify2.1s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1537
1	423
0	172

prune475.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

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)))

rewrite67.0ms

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:

14.0ms	(/ (sin (* x 0.5)) (/ 3.0 8.0))
21.0ms	(/ (sin (* x 0.5)) (sin x))
28.0ms	(* (/ (sin (* x 0.5)) (/ 3.0 8.0)) (/ (sin (* x 0.5)) (sin x)))

series227.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (sin (* x 0.5)) (/ 3.0 8.0))
65.0ms	(/ (sin (* x 0.5)) (sin x))
105.0ms	(* (/ (sin (* x 0.5)) (/ 3.0 8.0)) (/ (sin (* x 0.5)) (sin x)))

simplify2.4s

Counts

202 → 202

Iterations

Iter	Nodes
done	5000
2	3547
1	928
0	312

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

93×	`times-frac`
70×	`add-exp-log`
60×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
42×	`add-cbrt-cube`
28×	`prod-exp`
24×	`div-exp`
16×	`associate-/r*`
14×	`cbrt-undiv` `cbrt-unprod`
13×	`associate-l`
8×	`pow1`
7×	`div-inv`
6×	`associate-/l*`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `associate-r` `associate-r/` `associate-/r/` `-commutative`

Counts

3 → 157

Calls

3 calls:

20.0ms	(/ (sin (* x 0.5)) (/ (sin x) (sin (* x 0.5))))
14.0ms	(/ (sin x) (sin (* x 0.5)))
47.0ms	(* (/ 1 3.0) (* (/ (sin (* x 0.5)) (/ (sin x) (sin (* x 0.5)))) 8.0))

series233.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(/ (sin (* x 0.5)) (/ (sin x) (sin (* x 0.5))))
57.0ms	(/ (sin x) (sin (* x 0.5)))
92.0ms	(* (/ 1 3.0) (* (/ (sin (* x 0.5)) (/ (sin x) (sin (* x 0.5)))) 8.0))

simplify2.2s

Counts

166 → 166

Iterations

Iter	Nodes
done	5002
2	2524
1	753
0	288

prune784.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

448×	`times-frac`
223×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
214×	`add-exp-log`
103×	`div-exp`
76×	`add-cbrt-cube` `prod-exp`
32×	`cbrt-undiv` `div-inv`
22×	`cbrt-unprod`
21×	`rec-exp` `1-exp`
19×	`associate-/r` `associate-/l`
13×	`associate-l`
10×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down` `associate-*l/`
1×	`frac-times` `associate-r` `associate-r/` `associate-/r/` `-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 368

Calls

4 calls:

10.0ms	(/ 1 (sin (* x 0.5)))
16.0ms	(/ (sin (* x 0.5)) (sin x))
22.0ms	(/ (/ (sin (* x 0.5)) (sin x)) (/ 1 (sin (* x 0.5))))
62.0ms	(* (/ 1 3.0) (* (/ (/ (sin (* x 0.5)) (sin x)) (/ 1 (sin (* x 0.5)))) 8.0))

series273.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ 1 (sin (* x 0.5)))
52.0ms	(/ (sin (* x 0.5)) (sin x))
71.0ms	(/ (/ (sin (* x 0.5)) (sin x)) (/ 1 (sin (* x 0.5))))
103.0ms	(* (/ 1 3.0) (* (/ (/ (sin (* x 0.5)) (sin x)) (/ 1 (sin (* x 0.5)))) 8.0))

simplify2.2s

Counts

380 → 380

Iterations

Iter	Nodes
done	5000
1	1793
0	593

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	18
1	18
0	13

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.4s	1494×	body	1280	valid
1.3s	1210×	body	640	valid
1.1s	4328×	body	80	valid
502.0ms	625×	body	320	valid
188.0ms	343×	body	160	valid