Details

sample188.0ms

Algorithm: halfpoints

simplify1.7s

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

prune51.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize304.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.p16 (*.p16 (real->posit16 9) (-.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)))
0.3b	(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

0.0ms	(sqrt.p16 (*.p16 (real->posit16 9) (-.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)))
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	(sqrt.p16 (*.p16 (real->posit16 9) (-.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))))

simplify1.3s

Counts

64 → 64

Iterations

Iter	Nodes
done	2016
4	2016
3	1336
2	258
1	75
0	39

prune4.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize466.0ms

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

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 (.p16 (real->posit16 9) a) (.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))) rand)))
0.0ms	(sqrt.p16 (+.p16 (.p16 (real->posit16 9) a) (.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))
4.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
7.0ms	(+.p16 (.p16 (real->posit16 9) a) (.p16 (real->posit16 9) (neg.p16 (/.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 (.p16 (real->posit16 9) a) (.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))) rand)))
0.0ms	(sqrt.p16 (+.p16 (.p16 (real->posit16 9) a) (.p16 (real->posit16 9) (neg.p16 (/.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 (real->posit16 9) a) (.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))

simplify1.1s

Counts

68 → 68

Iterations

Iter	Nodes
done	2005
3	2005
2	371
1	106
0	52

prune5.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize221.0ms

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 (.p16 rand (real->posit16 1)) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (sqrt.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))
0.3b	(.p16 (.p16 rand (real->posit16 1)) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.3b	(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

2.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
5.0ms	(/.p16 (.p16 (.p16 rand (real->posit16 1)) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (sqrt.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))
5.0ms	(.p16 (.p16 rand (real->posit16 1)) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
3.0ms	(*.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 (.p16 (.p16 rand (real->posit16 1)) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (sqrt.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))
0.0ms	(.p16 (.p16 rand (real->posit16 1)) (-.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))

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	2094
3	2094
2	470
1	122
0	54

prune5.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize312.0ms

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

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)))
5.0ms	(/.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (sqrt.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))
16.0ms	(*.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 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (sqrt.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))
0.0ms	(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))

simplify1.9s

Counts

78 → 78

Iterations

Iter	Nodes
done	2004
4	2004
3	1613
2	340
1	80
0	43

prune5.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes811.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	22
1	22
0	20

end0.0ms

sample3.7s

Algorithm: halfpoints