Details

sample155.0ms

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

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize241.0ms

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))))

rewrite15.0ms

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)))
5.0ms	(*.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

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize262.0ms

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))))

rewrite10.0ms

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))))

simplify1.0s

Counts

69 → 69

Iterations

Iter	Nodes
done	2038
4	2038
3	1248
2	239
1	70
0	38

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize362.0ms

Local error

Found 4 expressions with local error:

0.1b	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.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))
0.2b	(-.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 (real->posit16 9)) (.p16 (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

8.0ms	(.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (.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))
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 (.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 (/.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	(-.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 (real->posit16 9)) (.p16 (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9)))

simplify5.8s

Counts

77 → 77

Iterations

Iter	Nodes
done	2004
3	2004
2	391
1	110
0	57

prune2.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize335.0ms

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

10×	`/p16-rgt-identity-expand`
8×	`p16-lft-identity-expand` `+p16-lft-identity-expand` `-p16-rgt-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` `p16-flip--` `associate--r+` `associate--r-` `associate-/l/`
3×	`associate-/r` `p16-times-frac` `associate-r` `associate-l` `associate-l/` `associate-*r/`
1×	`associate-/r/` `-commutative` `associate-/l`

Counts

4 → 72

Calls

4 calls:

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

simplify1.8s

Counts

76 → 76

Iterations

Iter	Nodes
done	2040
4	2040
3	1875
2	343
1	90
0	49

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes364.0ms

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

sample2.6s

Algorithm: halfpoints