Details

sample84.0ms

Algorithm

intervals

Results

31.0ms	47×	body	1280	valid
19.0ms	40×	body	640	valid
12.0ms	138×	body	80	valid
7.0ms	19×	body	320	valid
2.0ms	12×	body	160	valid

simplify286.0ms

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.3b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* x 0.5)) 3.0)
0.2b	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0))
14.3b	(/ (* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0)) (/ (sin x) 8.0))

rewrite56.0ms

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×	`associate-l` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/`

Counts

3 → 110

Calls

3 calls:

9.0ms	(/ (sin (* x 0.5)) 3.0)
22.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0))
20.0ms	(/ (* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0)) (/ (sin x) 8.0))

series237.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (sin (* x 0.5)) 3.0)
78.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0))
106.0ms	(/ (* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0)) (/ (sin x) 8.0))

simplify2.3s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	4628
1	600
0	224

prune700.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-cbrt-cube` `add-exp-log`
27×	`times-frac`
26×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r` `associate-/l`
3×	`pow-prod-down` `associate-*r/` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `associate-r` `associate-l/` `-commutative`

Counts

3 → 93

Calls

3 calls:

9.0ms	(/ (sin (* x 0.5)) 3.0)
10.0ms	(/ (sin (* x 0.5)) (sin x))
36.0ms	(* (/ (sin (* x 0.5)) (sin x)) (* 8.0 (/ (sin (* x 0.5)) 3.0)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (sin (* x 0.5)) 3.0)
51.0ms	(/ (sin (* x 0.5)) (sin x))
89.0ms	(* (/ (sin (* x 0.5)) (sin x)) (* 8.0 (/ (sin (* x 0.5)) 3.0)))

simplify1.1s

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
2	1895
1	434
0	176

prune659.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
97×	`add-sqr-sqrt` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
49×	`add-cbrt-cube`
44×	`associate-l`
37×	`div-exp`
35×	`prod-exp`
19×	`associate-/r*`
17×	`cbrt-undiv`
15×	`cbrt-unprod`
11×	`div-inv`
10×	`pow1`
9×	`associate-/l*`
8×	`rec-exp` `1-exp`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down` `associate-*r/`
2×	`associate-/r/`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 218

Calls

4 calls:

18.0ms	(/ 1 (/ (sin x) (sin (* 0.5 x))))
15.0ms	(/ (sin (* x 0.5)) 3.0)
50.0ms	(* (/ 1 (/ (sin x) (sin (* 0.5 x)))) (* 8.0 (/ (sin (* x 0.5)) 3.0)))
10.0ms	(/ (sin x) (sin (* 0.5 x)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ 1 (/ (sin x) (sin (* 0.5 x))))
54.0ms	(/ (sin (* x 0.5)) 3.0)
92.0ms	(* (/ 1 (/ (sin x) (sin (* 0.5 x)))) (* 8.0 (/ (sin (* x 0.5)) 3.0)))
44.0ms	(/ (sin x) (sin (* 0.5 x)))

simplify442.0ms

Counts

230 → 230

Iterations

Iter	Nodes
done	5000
1	977
0	334

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

102×	`times-frac`
83×	`add-exp-log`
69×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
45×	`add-cbrt-cube`
31×	`div-exp`
30×	`prod-exp`
19×	`associate-/r*`
15×	`cbrt-undiv`
14×	`cbrt-unprod`
13×	`associate-l`
10×	`pow1`
9×	`associate-/l*`
8×	`div-inv`
6×	`rec-exp` `1-exp`
4×	`associate-*r/` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down`
2×	`frac-times` `un-div-inv`
1×	`associate-r` `associate-l/` `associate-/r/` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 183

Calls

4 calls:

10.0ms	(/ (sin (* x 0.5)) (sin x))
9.0ms	(/ 3.0 (sin (* 0.5 x)))
85.0ms	(* (/ (sin (* x 0.5)) (sin x)) (* 8.0 (/ 1 (/ 3.0 (sin (* 0.5 x))))))
17.0ms	(/ 1 (/ 3.0 (sin (* 0.5 x))))

series254.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (sin (* x 0.5)) (sin x))
46.0ms	(/ 3.0 (sin (* 0.5 x)))
104.0ms	(* (/ (sin (* x 0.5)) (sin x)) (* 8.0 (/ 1 (/ 3.0 (sin (* 0.5 x))))))
50.0ms	(/ 1 (/ 3.0 (sin (* 0.5 x))))

simplify1.7s

Counts

195 → 195

Iterations

Iter	Nodes
done	5001
2	4626
1	820
0	311

prune615.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes66.0ms

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	19
1	19
0	15

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.8s	1464×	body	1280	valid
812.0ms	1307×	body	640	valid
590.0ms	4289×	body	80	valid
436.0ms	342×	body	160	valid
271.0ms	598×	body	320	valid