Details

sample56.0ms

Algorithm

intervals

Results

22.0ms	48×	body	1280	valid
13.0ms	45×	body	640	valid
8.0ms	140×	body	80	valid
3.0ms	15×	body	320	valid
1.0ms	8×	body	160	valid

simplify118.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	16
1	20	16
2	42	16
3	90	16
4	168	16
5	237	16
6	255	16
done	255	16

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize11.0ms

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)))
14.9b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite54.0ms

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:

21.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
10.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
20.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series168.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
39.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
76.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify621.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (197.0ms)

Iter	Nodes	Cost
0	163	1474
1	403	1285
2	1604	1016
done	5000	1016

prune214.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (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)))

rewrite39.0ms

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:

4.0ms	(/ (sin (* x 0.5)) (sin x))
22.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
10.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series150.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (sin (* x 0.5)) (sin x))
75.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
38.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify756.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (315.0ms)

Iter	Nodes	Cost
0	183	1718
1	453	1555
2	1765	1306
done	5001	1306

prune257.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

4.0ms	(/ (sin (* x 0.5)) 3.0)
4.0ms	(/ (sin (* x 0.5)) (sin x))
19.0ms	(* (* 8.0 (/ (sin (* x 0.5)) 3.0)) (/ (sin (* x 0.5)) (sin x)))

series148.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (sin (* x 0.5)) 3.0)
38.0ms	(/ (sin (* x 0.5)) (sin x))
75.0ms	(* (* 8.0 (/ (sin (* x 0.5)) 3.0)) (/ (sin (* x 0.5)) (sin x)))

simplify607.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (211.0ms)

Iter	Nodes	Cost
0	177	1661
1	429	1587
2	1623	1257
done	5000	1257

prune247.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-exp-log`
39×	`add-cbrt-cube`
30×	`prod-exp`
27×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-unprod`
13×	`associate-r`
12×	`pow1` `div-exp`
8×	`cbrt-undiv`
6×	`pow-prod-down` `associate-/r` `associate-/l`
5×	`associate-*r/`
4×	`1-exp`
3×	`div-inv` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-l` `associate-l/` `-commutative`

Counts

3 → 102

Calls

3 calls:

3.0ms	(/ (sin (* x 0.5)) 3.0)
4.0ms	(/ (sin (* x 0.5)) (sin x))
39.0ms	(* (* 8.0 (* 1 (/ (sin (* x 0.5)) 3.0))) (/ (sin (* x 0.5)) (sin x)))

series153.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (sin (* x 0.5)) 3.0)
40.0ms	(/ (sin (* x 0.5)) (sin x))
77.0ms	(* (* 8.0 (* 1 (/ (sin (* x 0.5)) 3.0))) (/ (sin (* x 0.5)) (sin x)))

simplify673.0ms

Counts

111 → 111

Iterations

Useful iterations: 2 (236.0ms)

Iter	Nodes	Cost
0	204	2032
1	535	1812
2	1785	1412
done	5000	1412

prune237.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	13	18
1	19	16
done	19	16

end0.0ms

sample1.7s

Algorithm

intervals

Results

696.0ms	1459×	body	1280	valid
373.0ms	1212×	body	640	valid
262.0ms	4339×	body	80	valid
139.0ms	649×	body	320	valid
54.0ms	341×	body	160	valid