Details

Time bar (total: 17.4s)

sample173.0ms

Algorithm
halfpoints

simplify28.0ms

Counts
1 → 1
Iterations
IterNodes
done35
335
234
126
016

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize229.0ms

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))
1.1b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)

rewrite13.0ms

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:
3.0ms
(*.p16 (*.p16 c a) (real->posit16 4))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
4.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
4.0ms
(-.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
(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)

simplify682.0ms

Counts
64 → 64
Iterations
IterNodes
done2109
3812
2227
183
043

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.4b

localize310.0ms

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 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (real->posit16 2)) a)
1.1b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
13×associate-/l*
12×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
9×p16-times-frac
7×+p16-lft-identity-expand /p16-rgt-identity-expand +p16-rgt-identity-expand
5×introduce-quire -p16-rgt-identity-expand
3×associate-*r*
2×distribute-rgt-in distribute-lft-in associate--l+
1×associate--l- insert-quire-sub sub-neg associate-*l* associate-*l/ associate-*r/ p16-flip-- associate-/r/ *-commutative associate-/l/
Counts
4 → 63
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))))
8.0ms
(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (real->posit16 2)) a)
5.0ms
(-.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
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
0.0ms
(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (real->posit16 2)) a)
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)

simplify2.6s

Counts
67 → 67
Iterations
IterNodes
done2001
41449
3527
2231
178
044

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.3b

localize196.0ms

Local error

Found 4 expressions with local error:

0.2b
(-.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 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)
1.1b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×associate--r+
13×+p16-lft-identity-expand +p16-rgt-identity-expand associate-/l*
11×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
10×distribute-rgt-in distribute-lft-in
9×p16-times-frac
7×introduce-quire -p16-rgt-identity-expand
5×/p16-rgt-identity-expand
4×associate--l+
2×associate--l- insert-quire-sub sub-neg p16-flip--
1×associate-/r/ insert-quire-fdp-sub associate--r- associate-/l/
Counts
4 → 74
Calls
4 calls:
5.0ms
(-.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)))))
12.0ms
(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)
2.0ms
(-.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 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)

simplify1.3s

Counts
78 → 78
Iterations
IterNodes
done2000
2408
1135
071

prune2.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.3b

localize299.0ms

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 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)
1.1b
(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b)
8.8b
(quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×associate-/l*
10×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
9×p16-times-frac
4×+p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand /p16-rgt-identity-expand +p16-rgt-identity-expand
2×associate--l+
1×associate--l- insert-quire-sub sub-neg p16-flip-- associate-/r/ associate-/l/
Counts
4 → 44
Calls
4 calls:
0.0ms
(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4)))))
9.0ms
(/.p16 (/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)
5.0ms
(-.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 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b) (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)))

simplify590.0ms

Counts
48 → 48
Iterations
IterNodes
done2009
4894
3295
2123
156
039

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.3b

regimes724.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done15
015

end0.0ms

sample4.1s

Algorithm
halfpoints