Details

sample56.0ms

Algorithm

intervals

Results

20.0ms	44×	body	1280	valid
13.0ms	44×	body	640	valid
9.0ms	141×	body	80	valid
3.0ms	15×	body	320	valid
2.0ms	12×	body	160	valid

simplify239.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	20	16
2	43	16
3	89	16
4	168	16
5	257	16
6	273	16
done	273	16

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))
14.0b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite152.0ms

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:

63.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
25.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
61.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series169.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
41.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
76.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.1s

Counts

88 → 88

Iterations

Useful iterations: 2 (218.0ms)

Iter	Nodes	Cost
0	163	1474
1	395	1285
2	1428	1016
done	5000	1016

prune200.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* x 0.5)) (sin x))
0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
28×	`times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
14×	`associate-l`
12×	`prod-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `div-exp`
4×	`pow-prod-down` `associate-*l/`
3×	`associate-/r` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*r/` `clear-num`

Counts

3 → 98

Calls

3 calls:

12.0ms	(/ (sin (* x 0.5)) (sin x))
60.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
25.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series154.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (sin (* x 0.5)) (sin x))
77.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
40.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify1.3s

Counts

107 → 107

Iterations

Useful iterations: 2 (247.0ms)

Iter	Nodes	Cost
0	183	1718
1	436	1555
2	1584	1292
done	5000	1292

prune254.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

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:

12.0ms	(/ (sin (* x 0.5)) (sin x))
20.0ms	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
32.0ms	(* (/ (* (sin (* 0.5 x)) 8.0) 3.0) (/ (sin (* x 0.5)) (sin x)))

series344.0ms

Counts

3 → 9

Calls

3 calls:

235.0ms	(/ (sin (* x 0.5)) (sin x))
34.0ms	(/ (* (sin (* 0.5 x)) 8.0) 3.0)
75.0ms	(* (/ (* (sin (* 0.5 x)) 8.0) 3.0) (/ (sin (* x 0.5)) (sin x)))

simplify1.1s

Counts

103 → 103

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	178	1743
1	440	1668
2	1627	1322
done	5001	1318

prune258.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-exp-log`
58×	`add-cbrt-cube`
44×	`add-sqr-sqrt`
40×	`times-frac`
32×	`add-cube-cbrt` `*-un-lft-identity`
31×	`prod-exp`
27×	`div-exp`
26×	`associate-l`
22×	`cbrt-unprod`
18×	`cbrt-undiv`
14×	`associate-r`
10×	`pow1`
6×	`frac-times` `associate-*r/`
5×	`1-exp`
4×	`pow-prod-down` `associate-*l/` `div-inv` `unswap-sqr`
3×	`associate-/r` `associate-/l` `add-log-exp`
2×	`*-commutative`
1×	`frac-2neg` `clear-num`

Counts

3 → 133

Calls

3 calls:

12.0ms	(/ (sin (* x 0.5)) (sin x))
24.0ms	(* (/ 8.0 3.0) (/ (sin (* x 0.5)) (sin x)))
44.0ms	(* (/ (sin (* 0.5 x)) 1) (* (/ 8.0 3.0) (/ (sin (* x 0.5)) (sin x))))

series170.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (sin (* x 0.5)) (sin x))
58.0ms	(* (/ 8.0 3.0) (/ (sin (* x 0.5)) (sin x)))
75.0ms	(* (/ (sin (* 0.5 x)) 1) (* (/ 8.0 3.0) (/ (sin (* x 0.5)) (sin x))))

simplify1.3s

Counts

142 → 142

Iterations

Useful iterations: 2 (332.0ms)

Iter	Nodes	Cost
0	248	2722
1	597	2431
2	1866	1855
done	5000	1855

prune311.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	15	16
done	15	16

end0.0ms

sample1.7s

Algorithm

intervals

Results

707.0ms	1484×	body	1280	valid
373.0ms	1206×	body	640	valid
269.0ms	4386×	body	80	valid
123.0ms	596×	body	320	valid
46.0ms	328×	body	160	valid