Details

Time bar (total: 29.8s)

sample272.0ms

Algorithm
halfpoints

simplify52.0ms

Counts
1 → 1
Iterations
IterNodes
done35
335
234
126
016

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize223.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.p16 (*.p16 c a) (real->posit16 4))
0.3b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
0.4b
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
0.9b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
9×/p16-rgt-identity-expand
7×*p16-lft-identity-expand +p16-lft-identity-expand *p16-rgt-identity-expand +p16-rgt-identity-expand p16-*-un-lft-identity
5×introduce-quire -p16-rgt-identity-expand
3×p16-times-frac associate-*r* associate-/l*
2×distribute-rgt-in distribute-lft-in associate-*l/ associate--l+ p16-flip-- associate-/r/ associate-/l/
1×associate--l- insert-quire-sub associate-/r* sub-neg associate-*l* associate-*r/ *-commutative
Counts
4 → 60
Calls
4 calls:
7.0ms
(*.p16 (*.p16 c a) (real->posit16 4))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
5.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
19.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)

series1.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (*.p16 c a) (real->posit16 4))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
0.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)

simplify4.3s

Counts
64 → 64
Iterations
IterNodes
done5006
3812
2227
183
043

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.1b

localize311.0ms

Local error

Found 4 expressions with local error:

0.3b
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))
0.3b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))
0.4b
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (*.p16 (real->posit16 2) a))
0.9b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×associate--r+
13×+p16-lft-identity-expand +p16-rgt-identity-expand
10×distribute-rgt-in distribute-lft-in
7×introduce-quire -p16-rgt-identity-expand /p16-rgt-identity-expand
6×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
4×associate--l+
3×p16-times-frac p16-flip-- associate-/l*
2×associate--l- insert-quire-sub sub-neg associate-/r/ associate-/l/
1×associate-/r* associate-*l/ insert-quire-fdp-sub associate--r-
Counts
4 → 71
Calls
4 calls:
7.0ms
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))
5.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (*.p16 (real->posit16 2) a))
3.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))
0.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (*.p16 (real->posit16 2) a))
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)

simplify3.6s

Counts
75 → 75
Iterations
IterNodes
done5101
2538
1146
070

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.1b

localize231.0ms

Local error

Found 4 expressions with local error:

0.3b
(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4)))))
0.4b
(/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b) (*.p16 (real->posit16 2) a))
0.9b
(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b)
7.1b
(quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
6×/p16-rgt-identity-expand
5×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
4×+p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand +p16-rgt-identity-expand
3×p16-times-frac associate-/l*
2×associate--l+ p16-flip-- associate-/r/ associate-/l/
1×associate--l- insert-quire-sub associate-/r* sub-neg associate-*l/
Counts
4 → 41
Calls
4 calls:
0.0ms
(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4)))))
10.0ms
(/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b) (*.p16 (real->posit16 2) a))
6.0ms
(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b)
0.0ms
(quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4)))))
0.0ms
(/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b) (*.p16 (real->posit16 2) a))
0.0ms
(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b)
0.0ms
(quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4)))

simplify4.0s

Counts
45 → 45
Iterations
IterNodes
done5001
44022
3626
2171
162
038

prune1.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.0b

localize426.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.p16 (*.p16 c a) (real->posit16 4))
0.3b
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) a)
0.3b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
0.9b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
7×+p16-lft-identity-expand /p16-rgt-identity-expand +p16-rgt-identity-expand
6×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
5×introduce-quire -p16-rgt-identity-expand
3×associate-*r* associate-/l*
2×distribute-rgt-in distribute-lft-in associate--l+ p16-flip-- associate-/l/
1×associate--l- insert-quire-sub sub-neg associate-*l* associate-*l/ associate-*r/ *-commutative
Counts
4 → 54
Calls
4 calls:
8.0ms
(*.p16 (*.p16 c a) (real->posit16 4))
9.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) a)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
6.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (*.p16 c a) (real->posit16 4))
0.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) a)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)

simplify5.8s

Counts
58 → 58
Iterations
IterNodes
done5026
3322
2113
169
039

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.0b

regimes1.2s

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done16
016

end0.0ms

sample3.6s

Algorithm
halfpoints