Details

sample177.0ms

Algorithm: halfpoints

simplify1.9s

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

prune65.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize342.0ms

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))))

rewrite16.0ms

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)))))
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)))
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	(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

prune3.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize263.0ms

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

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 (.p16 a (real->posit16 9)) (.p16 (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))) rand)))
0.0ms	(sqrt.p16 (+.p16 (.p16 a (real->posit16 9)) (.p16 (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))
2.0ms	(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
4.0ms	(+.p16 (.p16 a (real->posit16 9)) (.p16 (neg.p16 (/.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 (real->posit16 1) (sqrt.p16 (+.p16 (.p16 a (real->posit16 9)) (.p16 (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))) rand)))
0.0ms	(sqrt.p16 (+.p16 (.p16 a (real->posit16 9)) (.p16 (neg.p16 (/.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 (.p16 a (real->posit16 9)) (.p16 (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9)))

simplify1.8s

Counts

71 → 71

Iterations

Iter	Nodes
done	2016
3	2016
2	445
1	116
0	58

prune4.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize345.0ms

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

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

simplify1.9s

Counts

93 → 93

Iterations

Iter	Nodes
done	2331
3	2331
2	509
1	137
0	64

prune6.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize250.0ms

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

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

simplify767.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	2001
3	2001
2	381
1	101
0	51

prune5.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes561.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	21
1	21
0	19

end0.0ms

sample3.0s

Algorithm: halfpoints