Details

Time bar (total: 56.2s)

sample1.5s

Algorithm
halfpoints

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5009
43444
3563
2106
134
015

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize271.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
0.4b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
11×+p16-lft-identity-expand +p16-rgt-identity-expand
10×associate--l+
introduce-quire -p16-rgt-identity-expand /p16-rgt-identity-expand
distribute-rgt-in sub-neg *p16-lft-identity-expand distribute-lft-in associate-*l/ p16-flip-- *p16-rgt-identity-expand p16-*-un-lft-identity
associate-*r/
associate--l- insert-quire-sub associate-*r*
associate-*l* *-commutative
Counts
4 → 71
Calls
4 calls:
30.0ms
(*.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
43.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
52.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
44.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

series0.0ms

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

simplify3.5s

Counts
75 → 75
Iterations
IterNodes
done5004
34201
2533
1143
062

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize359.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b) (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)))
0.4b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
22×distribute-rgt-in distribute-lft-in
17×+p16-lft-identity-expand +p16-rgt-identity-expand
14×associate--l+
sub-neg introduce-quire -p16-rgt-identity-expand /p16-rgt-identity-expand
associate-*r/
*p16-lft-identity-expand p16-flip-- *p16-rgt-identity-expand p16-*-un-lft-identity
associate--l- insert-quire-sub associate-*l* associate-*l/
associate-*r* *-commutative
Counts
4 → 85
Calls
4 calls:
55.0ms
(*.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b) (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)))
34.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
27.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
48.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

series0.0ms

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

simplify2.6s

Counts
89 → 89
Iterations
IterNodes
done5000
2590
1174
077

prune1.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize344.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (*.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
0.4b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
11×+p16-lft-identity-expand +p16-rgt-identity-expand
10×associate--l+
introduce-quire -p16-rgt-identity-expand /p16-rgt-identity-expand
associate-*l/
distribute-rgt-in sub-neg *p16-lft-identity-expand distribute-lft-in p16-flip-- *p16-rgt-identity-expand p16-*-un-lft-identity
associate--l- insert-quire-sub associate-*r* associate-*r/
associate-*l* *-commutative
Counts
4 → 71
Calls
4 calls:
45.0ms
(*.p16 (*.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
28.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
42.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
34.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

series0.0ms

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

simplify3.9s

Counts
75 → 75
Iterations
IterNodes
done5148
34347
2534
1145
060

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize441.0ms

Local error

Found 4 expressions with local error:

0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.5b
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))
1.1b
(/.p16 (*.p16 (*.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
10×+p16-lft-identity-expand associate--l+ +p16-rgt-identity-expand
/p16-rgt-identity-expand
introduce-quire -p16-rgt-identity-expand
associate-/l/
*p16-lft-identity-expand associate-*l/ *p16-rgt-identity-expand p16-*-un-lft-identity
p16-flip--
associate--l- insert-quire-sub associate-/r* sub-neg p16-times-frac associate-*r/
distribute-rgt-in distribute-lft-in associate--r+
associate-/r/ insert-quire-fdp-sub associate-/l* associate--r- difference-of-squares
Counts
4 → 74
Calls
4 calls:
50.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
52.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
6.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))
139.0ms
(/.p16 (*.p16 (*.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))

series0.0ms

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

simplify4.2s

Counts
78 → 78
Iterations
IterNodes
done5000
33107
2625
1148
066

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

regimes570.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done23
023

end0.0ms

sample30.8s

Algorithm
halfpoints