Details

sample187.0ms

Algorithm: halfpoints

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	2059
10	2059
9	1352
8	902
7	565
6	401
5	340
4	256
3	158
2	77
1	34
0	18

prune49.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize322.0ms

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))))

rewrite11.0ms

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:

4.0ms	(.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)))
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 (-.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))))

simplify1.1s

Counts

76 → 76

Iterations

Iter	Nodes
done	2002
3	2002
2	361
1	94
0	46

prune5.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize379.0ms

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))))

rewrite19.0ms

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:

12.0ms	(.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)))
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 (-.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))))

simplify1.1s

Counts

76 → 76

Iterations

Iter	Nodes
done	2002
3	2002
2	361
1	94
0	46

prune6.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize474.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)
0.2b	(.p16 (real->posit16 9) (/.p16 (.p16 (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)))
0.2b	(*.p16 (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.8b	(/.p16 (*.p16 (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

12×	`/p16-rgt-identity-expand`
11×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
10×	`associate-r`
9×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
7×	`-p16-rgt-identity-expand`
6×	`distribute-rgt-in` `distribute-lft-in` `p16-times-frac` `associate-l`
5×	`introduce-quire` `associate-*r/`
4×	`associate-/l/`
3×	`associate-/r` `associate-l/`
2×	`associate-+l+` `sub-neg` `p16-flip--` `associate-/r/` `*-commutative` `associate--r-`
1×	`+-commutative` `insert-quire-add` `associate-+l-` `associate-/l*`

Counts

4 → 84

Calls

4 calls:

6.0ms	(+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)
9.0ms	(.p16 (real->posit16 9) (/.p16 (.p16 (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)))
7.0ms	(*.p16 (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
12.0ms	(/.p16 (*.p16 (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a))

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify1.8s

Counts

88 → 88

Iterations

Iter	Nodes
done	2002
3	2002
2	565
1	145
0	63

prune8.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize421.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)
0.2b	(*.p16 (real->posit16 9) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.3b	(.p16 (.p16 (real->posit16 9) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (/.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)))
0.7b	(/.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

21×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
18×	`p16-times-frac`
16×	`associate-r`
12×	`/p16-rgt-identity-expand`
7×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
5×	`introduce-quire` `-p16-rgt-identity-expand` `associate-*l/`
4×	`associate-l`
3×	`distribute-rgt-in` `associate-/r` `distribute-lft-in` `associate-r/` `associate-/l*`
2×	`associate-+l+` `associate-/r/` `*-commutative` `associate-/l/`
1×	`+-commutative` `insert-quire-add` `p16-flip--` `associate-+l-`

Counts

4 → 89

Calls

4 calls:

11.0ms	(+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)
6.0ms	(*.p16 (real->posit16 9) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
18.0ms	(.p16 (.p16 (real->posit16 9) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (/.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)))
21.0ms	(/.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a))

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	2002
3	2002
2	562
1	128
0	56

prune5.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

regimes415.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	25
1	25
0	23

end0.0ms

sample2.9s

Algorithm: halfpoints