Details

sample149.0ms

Algorithm

intervals

Results

47.0ms	42×	body	1280	valid
43.0ms	55×	body	640	valid
19.0ms	121×	body	80	valid
15.0ms	27×	body	320	valid
4.0ms	11×	body	160	valid

simplify552.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	274
7	274
6	273
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: 13.6b

localize36.0ms

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)))
13.3b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite318.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
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×	`frac-2neg` `clear-num` `associate-/l/` `associate-/l*`

Counts

3 → 79

Calls

3 calls:

130.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
55.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
128.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series326.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
71.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
142.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify3.8s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1403
1	411
0	163

prune710.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

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

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

37.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
74.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* x 0.5)) (sin x)))
27.0ms	(/ (sin (* x 0.5)) (sin x))

series295.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
140.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* x 0.5)) (sin x)))
81.0ms	(/ (sin (* x 0.5)) (sin x))

simplify3.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5002
2	1864
1	478
0	175

prune979.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (* 8.0 (sin (* x 0.5))) (/ 1 3.0)) (/ (sin (* x 0.5)) (sin x)))
0.2b	(/ (sin (* x 0.5)) (sin x))
0.4b	(* (* 8.0 (sin (* x 0.5))) (/ 1 3.0))

rewrite326.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-exp-log`
58×	`add-cbrt-cube`
54×	`prod-exp`
28×	`cbrt-unprod`
27×	`times-frac`
26×	`associate-r`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
22×	`div-exp`
17×	`pow1`
12×	`cbrt-undiv`
9×	`pow-prod-down`
6×	`rec-exp` `1-exp`
4×	`associate-*r/`
3×	`associate-/r` `un-div-inv` `div-inv` `associate-/l` `add-log-exp`
2×	`frac-times` `associate-l` `associate-l/` `-commutative`
1×	`frac-2neg` `clear-num`

Counts

3 → 123

Calls

3 calls:

209.0ms	(* (* (* 8.0 (sin (* x 0.5))) (/ 1 3.0)) (/ (sin (* x 0.5)) (sin x)))
25.0ms	(/ (sin (* x 0.5)) (sin x))
81.0ms	(* (* 8.0 (sin (* x 0.5))) (/ 1 3.0))

series282.0ms

Counts

3 → 9

Calls

3 calls:

137.0ms	(* (* (* 8.0 (sin (* x 0.5))) (/ 1 3.0)) (/ (sin (* x 0.5)) (sin x)))
80.0ms	(/ (sin (* x 0.5)) (sin x))
65.0ms	(* (* 8.0 (sin (* x 0.5))) (/ 1 3.0))

simplify3.9s

Counts

132 → 132

Iterations

Iter	Nodes
done	5000
2	2239
1	628
0	219

prune947.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

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

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

99×	`times-frac`
92×	`add-exp-log`
74×	`add-sqr-sqrt`
61×	`add-cbrt-cube`
55×	`add-cube-cbrt` `*-un-lft-identity`
38×	`cbrt-undiv` `div-exp`
35×	`cbrt-prod`
34×	`associate-l`
28×	`prod-exp` `cbrt-unprod`
18×	`div-inv`
13×	`associate-r`
10×	`associate-/r*`
9×	`associate-/l*`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 199

Calls

4 calls:

47.0ms	(/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0)))
157.0ms	(* (/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (sin (* x 0.5)) (sin x)))
28.0ms	(/ (sin (* x 0.5)) (sin x))
53.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series1.7s

Counts

4 → 12

Calls

4 calls:

974.0ms	(/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0)))
346.0ms	(* (/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (/ (sin (* x 0.5)) (sin x)))
80.0ms	(/ (sin (* x 0.5)) (sin x))
341.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify7.8s

Counts

211 → 211

Iterations

Iter	Nodes
done	5006
2	3373
1	875
0	305

prune2.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	19
1	19
0	13

end0.0ms

sample11.7s

Algorithm

intervals

Results

7.0s	1507×	body	1280	valid
2.3s	4281×	body	80	valid
1.4s	1255×	body	640	valid
655.0ms	642×	body	320	valid
143.0ms	315×	body	160	valid