Details

Time bar (total: 19.0s)

sample101.0ms

Algorithm
halfpoints

simplify15.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
114
09

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize161.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt.p16 (+.p16 x (real->posit16 1)))
0.2b
(/.p16 (real->posit16 1) (sqrt.p16 x))
0.2b
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
0.4b
(-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
77×p16-times-frac
71×*p16-lft-identity-expand p16-*-un-lft-identity
51×*p16-rgt-identity-expand
24×distribute-lft-out--
18×introduce-quire
13×/p16-rgt-identity-expand insert-quire-fdp-sub
9×distribute-rgt-out--
7×associate-/r/
6×associate-/r* +p16-lft-identity-expand -p16-rgt-identity-expand +p16-rgt-identity-expand associate-/l*
2×associate--l+ associate--r+ associate-/l/
1×associate--l- insert-quire-sub sub-neg p16-flip-- associate--r-
Counts
4 → 121
Calls
4 calls:
0.0ms
(sqrt.p16 (+.p16 x (real->posit16 1)))
1.0ms
(/.p16 (real->posit16 1) (sqrt.p16 x))
1.0ms
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
7.0ms
(-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(sqrt.p16 (+.p16 x (real->posit16 1)))
0.0ms
(/.p16 (real->posit16 1) (sqrt.p16 x))
0.0ms
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
0.0ms
(-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))

simplify1.9s

Counts
125 → 125
Iterations
IterNodes
done5027
31366
2269
168
042

prune769.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.5b

localize258.0ms

Local error

Found 4 expressions with local error:

0.2b
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
0.2b
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
0.3b
(*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))
0.4b
(-.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
36×p16-times-frac
34×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
13×associate-*r* associate-*l*
12×+p16-lft-identity-expand +p16-rgt-identity-expand
10×/p16-rgt-identity-expand
6×distribute-rgt-in associate-/r* distribute-lft-in introduce-quire -p16-rgt-identity-expand associate--l+ associate-/l* associate--r+
4×associate-/r/
2×associate-/l/
1×associate--l- insert-quire-sub sub-neg associate-*l/ associate-*r/ p16-flip-- *-commutative insert-quire-fdp-sub associate--r- difference-of-squares
Counts
4 → 118
Calls
4 calls:
1.0ms
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
1.0ms
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
4.0ms
(*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))
6.0ms
(-.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
0.0ms
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
0.0ms
(*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))
0.0ms
(-.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))))

simplify5.1s

Counts
122 → 122
Iterations
IterNodes
done5041
33946
2550
1141
055

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize269.0ms

Local error

Found 4 expressions with local error:

0.2b
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
0.2b
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
0.2b
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
0.4b
(-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
86×p16-times-frac
79×*p16-lft-identity-expand p16-*-un-lft-identity
59×*p16-rgt-identity-expand
24×distribute-lft-out--
18×introduce-quire
15×/p16-rgt-identity-expand
13×insert-quire-fdp-sub
9×associate-/r* distribute-rgt-out-- associate-/l*
8×associate-/r/
6×+p16-lft-identity-expand -p16-rgt-identity-expand +p16-rgt-identity-expand
3×associate-/l/
2×associate--l+ associate--r+
1×associate--l- insert-quire-sub sub-neg p16-flip-- associate--r-
Counts
4 → 138
Calls
4 calls:
1.0ms
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
1.0ms
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
1.0ms
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
7.0ms
(-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
0.0ms
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
0.0ms
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
0.0ms
(-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))))

simplify1.6s

Counts
142 → 142
Iterations
IterNodes
done5019
31329
2239
163
038

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

localize299.0ms

Local error

Found 4 expressions with local error:

0.2b
(/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1))))
0.2b
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
0.2b
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
0.4b
(-.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1)))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
24×*p16-lft-identity-expand p16-times-frac *p16-rgt-identity-expand p16-*-un-lft-identity
12×introduce-quire /p16-rgt-identity-expand
9×associate-/r*
8×+p16-lft-identity-expand +p16-rgt-identity-expand
7×insert-quire-fdp-sub associate-/l*
6×-p16-rgt-identity-expand associate--l+
5×associate-/l/
4×associate-/r/
2×distribute-rgt-in distribute-lft-in associate--r+
1×associate--l- insert-quire-sub sub-neg associate-*l/ associate-*r/ p16-flip-- associate--r-
Counts
4 → 97
Calls
4 calls:
4.0ms
(/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1))))
3.0ms
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
2.0ms
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
8.0ms
(-.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1)))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1))))
0.0ms
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
0.0ms
(/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1))))
0.0ms
(-.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 x))) (/.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 x (real->posit16 1)))) (real->posit16 1)) (sqrt.p16 (+.p16 x (real->posit16 1)))))

simplify2.6s

Counts
101 → 101
Iterations
IterNodes
done5176
31940
2368
188
046

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

regimes142.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample2.4s

Algorithm
halfpoints