Details

sample188.0ms

Algorithm: halfpoints

simplify2.2s

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

prune66.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize290.0ms

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))))

rewrite18.0ms

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)))
3.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
4.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
6.0ms	(*.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))))

simplify950.0ms

Counts

76 → 76

Iterations

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

prune4.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize358.0ms

Local error

Found 4 expressions with local error:

0.1b	(.p16 (+.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)) (-.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))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

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

simplify2.3s

Counts

82 → 82

Iterations

Iter	Nodes
done	2083
3	2083
2	441
1	111
0	48

prune6.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize315.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

4.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
7.0ms	(+.p16 (.p16 a (+.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))) (.p16 (neg.p16 (/.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))))
6.0ms	(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
6.0ms	(*.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 (.p16 a (+.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))) (.p16 (neg.p16 (/.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 (real->posit16 9) (-.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))))

simplify1.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	2019
4	2019
3	1968
2	404
1	111
0	56

prune6.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize315.0ms

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

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)))
5.0ms	(.p16 (/.p16 (.p16 rand (real->posit16 1)) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) (-.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 (/.p16 (.p16 rand (real->posit16 1)) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) (-.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))))

simplify1.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	2017
3	2017
2	553
1	125
0	56

prune5.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes481.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	24
1	24
0	22

end0.0ms

sample2.8s

Algorithm: halfpoints