Details

sample192.0ms

Algorithm: halfpoints

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	4214
7	1419
6	673
5	434
4	303
3	164
2	77
1	34
0	18

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize279.0ms

Local error

Found 4 expressions with local error:

0.1b	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))
0.2b	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.2b	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.2b	(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

8×	`p16-lft-identity-expand` `+p16-lft-identity-expand` `-p16-rgt-identity-expand` `/p16-rgt-identity-expand` `p16-rgt-identity-expand` `+p16-rgt-identity-expand` `p16-*-un-lft-identity`
6×	`associate-r` `associate-l`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`sub-neg` `introduce-quire` `p16-flip--` `associate--r+` `associate--r-`
3×	`associate-l/` `associate-r/`
2×	`*-commutative`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))
3.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
3.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
7.0ms	(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))
0.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms	(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

simplify2.6s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
3	3844
2	422
1	95
0	46

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize241.0ms

Local error

Found 4 expressions with local error:

0.2b	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.2b	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.2b	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.2b	(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`+p16-lft-identity-expand` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand`
6×	`p16-lft-identity-expand` `/p16-rgt-identity-expand` `p16-rgt-identity-expand` `associate--r+` `p16-*-un-lft-identity`
5×	`sub-neg` `associate--r-`
4×	`distribute-rgt-in` `distribute-lft-in` `introduce-quire` `p16-flip--`
3×	`associate-r` `associate-l`
2×	`associate-*r/`
1×	`associate-l/` `-commutative`

Counts

4 → 65

Calls

4 calls:

2.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
2.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
2.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
3.0ms	(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms	(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

simplify1.9s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	2039
2	262
1	70
0	38

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize352.0ms

Local error

Found 4 expressions with local error:

0.1b	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (/.p16 (.p16 rand (real->posit16 1)) (sqrt.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))))
0.2b	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.2b	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.2b	(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

16×	`p16-lft-identity-expand` `associate-r` `p16--un-lft-identity`
11×	`*p16-rgt-identity-expand`
9×	`/p16-rgt-identity-expand`
8×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
6×	`associate-l` `-p16-rgt-identity-expand`
4×	`p16-distribute-lft-out` `introduce-quire` `associate-*l/` `p16-flip--` `distribute-lft-out` `associate--r+`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`sub-neg` `distribute-rgt-out` `associate-r/` `-commutative` `associate--r-`
1×	`associate-/r/`

Counts

4 → 78

Calls

4 calls:

11.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (/.p16 (.p16 rand (real->posit16 1)) (sqrt.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))))
4.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
4.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
18.0ms	(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (/.p16 (.p16 rand (real->posit16 1)) (sqrt.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))))
0.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms	(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))

simplify2.7s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
3	3687
2	376
1	87
0	41

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize389.0ms

Local error

Found 4 expressions with local error:

0.2b	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.2b	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.2b	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.2b	(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
7×	`-p16-rgt-identity-expand`
6×	`p16-lft-identity-expand` `/p16-rgt-identity-expand` `p16-rgt-identity-expand` `associate--r+` `p16-*-un-lft-identity`
4×	`introduce-quire` `p16-flip--`
3×	`sub-neg` `associate-r` `associate-l` `associate--r-`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
1×	`associate-r/` `-commutative`

Counts

4 → 61

Calls

4 calls:

3.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
3.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
3.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
5.0ms	(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms	(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))

simplify1.3s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
3	1646
2	225
1	62
0	34

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes417.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	21
1	21
0	19

end0.0ms

sample2.8s

Algorithm: halfpoints