Details

sample73.0ms

Algorithm: halfpoints

simplify67.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	36
3	36
2	33
1	25
0	14

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize124.0ms

Local error

Found 4 expressions with local error:

0.3b	(.p16 #<cpointer:posit16> (.p16 a c))
0.4b	(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 #<cpointer:posit16> (.p16 a c))))) (.p16 #<cpointer:posit16> a))
0.5b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 #<cpointer:posit16> (*.p16 a c))))
1.1b	(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 #<cpointer:posit16> (*.p16 a c)))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

12.0ms	(.p16 #<cpointer:posit16> (.p16 a c))
10.0ms	(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 #<cpointer:posit16> (.p16 a c))))) (.p16 #<cpointer:posit16> a))
1.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 #<cpointer:posit16> (*.p16 a c))))
6.0ms	(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 #<cpointer:posit16> (*.p16 a c)))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(.p16 #<cpointer:posit16> (.p16 a c))
0.0ms	(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 #<cpointer:posit16> (.p16 a c))))) (.p16 #<cpointer:posit16> a))
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 #<cpointer:posit16> (*.p16 a c))))
0.0ms	(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 #<cpointer:posit16> (*.p16 a c)))))

simplify2.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5019
3	2063
2	359
1	87
0	46

prune705.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.3b

localize121.0ms

Local error

Found 4 expressions with local error:

0.2b	(-.p16 (.p16 b b) (.p16 (*.p16 #<cpointer:posit16> a) c))
0.4b	(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 #<cpointer:posit16> a) c)))) (.p16 #<cpointer:posit16> a))
0.5b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 #<cpointer:posit16> a) c)))
1.1b	(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 #<cpointer:posit16> a) c))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

19×	`p16-lft-identity-expand` `p16--un-lft-identity`
13×	`*p16-rgt-identity-expand`
12×	`distribute-lft-out--`
10×	`introduce-quire`
8×	`+p16-lft-identity-expand` `p16-times-frac` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand` `associate-/l*`
7×	`/p16-rgt-identity-expand`
4×	`associate--l+` `insert-quire-fdp-sub` `associate--r+`
3×	`distribute-rgt-out--` `p16-flip--`
2×	`associate--l-` `insert-quire-sub` `sub-neg` `associate-/r/` `associate--r-` `associate-/l/`
1×	`associate-/r` `associate-l/`

Counts

4 → 80

Calls

4 calls:

9.0ms	(-.p16 (.p16 b b) (.p16 (*.p16 #<cpointer:posit16> a) c))
15.0ms	(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 #<cpointer:posit16> a) c)))) (.p16 #<cpointer:posit16> a))
1.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 #<cpointer:posit16> a) c)))
6.0ms	(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 #<cpointer:posit16> a) c))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (.p16 b b) (.p16 (*.p16 #<cpointer:posit16> a) c))
0.0ms	(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 #<cpointer:posit16> a) c)))) (.p16 #<cpointer:posit16> a))
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 #<cpointer:posit16> a) c)))
0.0ms	(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 #<cpointer:posit16> a) c))))

simplify3.3s

Counts

84 → 84

Iterations

Iter	Nodes
done	5053
3	2496
2	412
1	100
0	52

prune746.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.3b

localize171.0ms

Local error

Found 4 expressions with local error:

0.4b	(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 #<cpointer:posit16> a) c)))) (*.p16 #<cpointer:posit16> a))
0.5b	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 #<cpointer:posit16> a) c)))
1.1b	(-.p16 (neg.p16 b) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 #<cpointer:posit16> a) c))))
6.4b	(quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 #<cpointer:posit16> a) c)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

18×	`p16-lft-identity-expand` `p16--un-lft-identity`
12×	`*p16-rgt-identity-expand` `distribute-lft-out--`
8×	`p16-times-frac` `associate-/l*`
7×	`introduce-quire`
6×	`/p16-rgt-identity-expand`
5×	`+p16-lft-identity-expand` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand`
3×	`distribute-rgt-out--` `insert-quire-fdp-sub`
2×	`associate--l+` `p16-flip--` `associate-/r/` `associate--r+` `associate-/l/`
1×	`associate--l-` `insert-quire-sub` `associate-/r` `sub-neg` `associate-l/` `associate--r-`

Counts

4 → 62

Calls

4 calls:

17.0ms	(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 #<cpointer:posit16> a) c)))) (*.p16 #<cpointer:posit16> a))
2.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 #<cpointer:posit16> a) c)))
10.0ms	(-.p16 (neg.p16 b) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 #<cpointer:posit16> a) c))))
2.0ms	(quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 #<cpointer:posit16> a) c)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 #<cpointer:posit16> a) c)))) (*.p16 #<cpointer:posit16> a))
0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 #<cpointer:posit16> a) c)))
0.0ms	(-.p16 (neg.p16 b) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 #<cpointer:posit16> a) c))))
0.0ms	(quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 #<cpointer:posit16> a) c)

simplify2.9s

Counts

66 → 66

Iterations

Iter	Nodes
done	5004
3	1854
2	289
1	69
0	41

prune694.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.3b

localize121.0ms

Local error

Found 4 expressions with local error:

0.2b	(-.p16 (.p16 b b) (.p16 a (*.p16 c #<cpointer:posit16>)))
0.4b	(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 a (.p16 c #<cpointer:posit16>))))) (.p16 #<cpointer:posit16> a))
0.5b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 a (*.p16 c #<cpointer:posit16>))))
1.1b	(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 a (*.p16 c #<cpointer:posit16>)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

19×	`p16-lft-identity-expand` `p16--un-lft-identity`
16×	`associate--r+`
14×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
13×	`*p16-rgt-identity-expand`
12×	`distribute-lft-out--`
10×	`distribute-rgt-in` `distribute-lft-in` `introduce-quire`
8×	`p16-times-frac` `-p16-rgt-identity-expand` `associate-/l*`
7×	`/p16-rgt-identity-expand`
4×	`associate--l+` `insert-quire-fdp-sub`
3×	`distribute-rgt-out--` `p16-flip--`
2×	`associate--l-` `insert-quire-sub` `sub-neg` `associate-/r/` `associate--r-` `associate-/l/`
1×	`associate-/r` `associate-l/`

Counts

4 → 92

Calls

4 calls:

12.0ms	(-.p16 (.p16 b b) (.p16 a (*.p16 c #<cpointer:posit16>)))
10.0ms	(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 a (.p16 c #<cpointer:posit16>))))) (.p16 #<cpointer:posit16> a))
1.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 a (*.p16 c #<cpointer:posit16>))))
6.0ms	(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 a (*.p16 c #<cpointer:posit16>)))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (.p16 b b) (.p16 a (*.p16 c #<cpointer:posit16>)))
0.0ms	(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 a (.p16 c #<cpointer:posit16>))))) (.p16 #<cpointer:posit16> a))
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 a (*.p16 c #<cpointer:posit16>))))
0.0ms	(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 a (*.p16 c #<cpointer:posit16>)))))

simplify2.4s

Counts

96 → 96

Iterations

Iter	Nodes
done	5084
2	785
1	157
0	73

prune751.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 1.3b

regimes666.0ms

Accuracy

0% (0.4b remaining)

Error of 1.5b against oracle of 1.1b and baseline of 1.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
0	15

end0.0ms

sample2.4s

Algorithm: halfpoints