Details

sample76.0ms

Algorithm

intervals

Results

25.0ms	37×	body	1280	valid
15.0ms	34×	body	640	valid
14.0ms	149×	body	80	valid
8.0ms	25×	body	320	valid
3.0ms	11×	body	160	valid

simplify316.0ms

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: 15.1b

localize15.0ms

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

rewrite78.0ms

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:

12.0ms	(/ (sin (* x 0.5)) 3.0)
35.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0))
28.0ms	(/ (* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0)) (/ (sin x) 8.0))

series226.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (sin (* x 0.5)) 3.0)
70.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0))
104.0ms	(/ (* (sin (* x 0.5)) (/ (sin (* x 0.5)) 3.0)) (/ (sin x) 8.0))

simplify2.4s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	4628
1	600
0	224

prune687.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 161

Calls

3 calls:

42.0ms	(/ (sin (* x 0.5)) (* (/ (/ (sin x) 8.0) (sin (* x 0.5))) 3.0))
45.0ms	(* (/ (/ (sin x) 8.0) (sin (* x 0.5))) 3.0)
17.0ms	(/ (/ (sin x) 8.0) (sin (* x 0.5)))

series318.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(/ (sin (* x 0.5)) (* (/ (/ (sin x) 8.0) (sin (* x 0.5))) 3.0))
113.0ms	(* (/ (/ (sin x) 8.0) (sin (* x 0.5))) 3.0)
78.0ms	(/ (/ (sin x) 8.0) (sin (* x 0.5)))

simplify1.6s

Counts

170 → 170

Iterations

Iter	Nodes
done	5000
2	3889
1	744
0	288

prune996.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sin (* x 0.5)) (sqrt 8.0)) (/ (/ (sin (* x 0.5)) 3.0) (/ (sin x) (sqrt 8.0))))
0.4b	(/ (/ (sin (* x 0.5)) 3.0) (/ (sin x) (sqrt 8.0)))
0.4b	(* (sin (* x 0.5)) (sqrt 8.0))
0.4b	(/ (sin x) (sqrt 8.0))

rewrite303.0ms

Algorithm

rewrite-expression-head

Rules

1481×	`times-frac`
693×	`add-sqr-sqrt`
689×	`*-un-lft-identity` `add-cube-cbrt`
297×	`associate-r`
259×	`sqrt-prod`
75×	`div-inv`
61×	`add-cbrt-cube` `add-exp-log`
28×	`associate-/r*`
25×	`cbrt-undiv` `div-exp`
16×	`prod-exp` `cbrt-unprod` `associate-/l*`
11×	`pow1`
4×	`associate-l` `pow-prod-down` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`associate-*r/` `associate-/l/`

Counts

4 → 725

Calls

4 calls:

158.0ms	(* (* (sin (* x 0.5)) (sqrt 8.0)) (/ (/ (sin (* x 0.5)) 3.0) (/ (sin x) (sqrt 8.0))))
31.0ms	(/ (/ (sin (* x 0.5)) 3.0) (/ (sin x) (sqrt 8.0)))
25.0ms	(* (sin (* x 0.5)) (sqrt 8.0))
8.0ms	(/ (sin x) (sqrt 8.0))

series632.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(* (* (sin (* x 0.5)) (sqrt 8.0)) (/ (/ (sin (* x 0.5)) 3.0) (/ (sin x) (sqrt 8.0))))
184.0ms	(/ (/ (sin (* x 0.5)) 3.0) (/ (sin x) (sqrt 8.0)))
66.0ms	(* (sin (* x 0.5)) (sqrt 8.0))
99.0ms	(/ (sin x) (sqrt 8.0))

simplify2.1s

Counts

737 → 737

Iterations

Iter	Nodes
done	5000
1	3773
0	935

prune4.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (sin x) 8.0)) (cbrt (/ (sin x) 8.0)))
0.6b	(cbrt (/ (sin x) 8.0))
0.6b	(cbrt (/ (sin x) 8.0))
0.6b	(cbrt (/ (sin x) 8.0))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

44.0ms	(* (cbrt (/ (sin x) 8.0)) (cbrt (/ (sin x) 8.0)))
4.0ms	(cbrt (/ (sin x) 8.0))
4.0ms	(cbrt (/ (sin x) 8.0))
4.0ms	(cbrt (/ (sin x) 8.0))

series897.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(* (cbrt (/ (sin x) 8.0)) (cbrt (/ (sin x) 8.0)))
215.0ms	(cbrt (/ (sin x) 8.0))
226.0ms	(cbrt (/ (sin x) 8.0))
211.0ms	(cbrt (/ (sin x) 8.0))

simplify1.1s

Counts

156 → 156

Iterations

Iter	Nodes
done	5000
2	1501
1	341
0	169

prune1.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.7s	1523×	body	1280	valid
1.4s	1269×	body	640	valid
595.0ms	4242×	body	80	valid
268.0ms	633×	body	320	valid
89.0ms	333×	body	160	valid