Details

sample85.0ms

Algorithm

intervals

Results

35.0ms	53×	body	1280	valid
17.0ms	36×	body	640	valid
14.0ms	143×	body	80	valid
6.0ms	15×	body	320	valid
2.0ms	9×	body	160	valid

simplify370.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize26.0ms

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)))
13.7b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite211.0ms

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:

79.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
52.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
77.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series287.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
67.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
122.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.5s

Counts

88 → 88

Iterations

Useful iterations: 2 (302.0ms)

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

prune286.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 110

Calls

3 calls:

55.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
17.0ms	(/ (sin x) (sin (* x 0.5)))
34.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series295.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
80.0ms	(/ (sin x) (sin (* x 0.5)))
75.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify1.6s

Counts

119 → 119

Iterations

Useful iterations: 2 (386.0ms)

Iter	Nodes	Cost
0	211	2048
1	502	1898
2	1807	1604
done	5000	1604

prune432.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

49×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
19×	`associate-/r*`
13×	`cbrt-undiv` `div-exp`
7×	`associate-/l*`
5×	`div-inv`
4×	`prod-exp` `cbrt-unprod`
3×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-*r/` `associate-/r/` `associate-/l/`

Counts

3 → 105

Calls

3 calls:

25.0ms	(/ (sin (* 0.5 x)) 3.0)
40.0ms	(/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* x 0.5))))
12.0ms	(/ (sin x) (sin (* x 0.5)))

series186.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (sin (* 0.5 x)) 3.0)
87.0ms	(/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* x 0.5))))
55.0ms	(/ (sin x) (sin (* x 0.5)))

simplify1.6s

Counts

114 → 114

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	214	1991
1	494	1909
2	1742	1571
done	5000	1569

prune439.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 85

Calls

3 calls:

51.0ms	(* (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (sin (* x 0.5)))
26.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x))
33.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(* (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (sin (* x 0.5)))
65.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x))
39.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify1.6s

Counts

94 → 94

Iterations

Useful iterations: 2 (250.0ms)

Iter	Nodes	Cost
0	169	1513
1	411	1387
2	1362	1120
done	5000	1120

prune300.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes42.0ms

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: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	14	16
done	14	16

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.8s	1466×	body	1280	valid
875.0ms	1254×	body	640	valid
604.0ms	617×	body	320	valid
532.0ms	4344×	body	80	valid
90.0ms	319×	body	160	valid