Details

Time bar (total: 57.8s)

sample1.1s

Algorithm
halfpoints

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done5006
43599
3582
2107
134
015

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize266.0ms

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)

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
11×+p16-lft-identity-expand +p16-rgt-identity-expand
10×associate--l+
7×introduce-quire -p16-rgt-identity-expand /p16-rgt-identity-expand
5×distribute-rgt-in sub-neg *p16-lft-identity-expand distribute-lft-in associate-*l/ p16-flip-- *p16-rgt-identity-expand p16-*-un-lft-identity
4×associate-*r/
3×associate--l- insert-quire-sub associate-*r*
1×associate-*l* *-commutative
Counts
4 → 71
Calls
4 calls:
54.0ms
(*.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))
39.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
31.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
35.0ms
(-.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)

simplify3.4s

Counts
75 → 75
Iterations
IterNodes
done5009
34176
2542
1143
062

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize302.0ms

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)

rewrite685.0ms

Algorithm
rewrite-expression-head
Rules
22×distribute-rgt-in distribute-lft-in
17×+p16-lft-identity-expand +p16-rgt-identity-expand
14×associate--l+
7×sub-neg introduce-quire -p16-rgt-identity-expand /p16-rgt-identity-expand
6×associate-*r/
5×*p16-lft-identity-expand p16-flip-- *p16-rgt-identity-expand p16-*-un-lft-identity
3×associate--l- insert-quire-sub associate-*l* associate-*l/
1×associate-*r* *-commutative
Counts
4 → 85
Calls
4 calls:
65.0ms
(*.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)))
497.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
57.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
64.0ms
(-.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
2610
1174
077

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize387.0ms

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)

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
11×+p16-lft-identity-expand +p16-rgt-identity-expand
10×associate--l+
7×introduce-quire -p16-rgt-identity-expand /p16-rgt-identity-expand
6×associate-*l/
5×distribute-rgt-in sub-neg *p16-lft-identity-expand distribute-lft-in p16-flip-- *p16-rgt-identity-expand p16-*-un-lft-identity
3×associate--l- insert-quire-sub associate-*r* associate-*r/
1×associate-*l* *-commutative
Counts
4 → 71
Calls
4 calls:
51.0ms
(*.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))
55.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
58.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
57.0ms
(-.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)

simplify3.7s

Counts
75 → 75
Iterations
IterNodes
done5036
34524
2550
1145
060

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize386.0ms

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

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
10×+p16-lft-identity-expand associate--l+ +p16-rgt-identity-expand
9×/p16-rgt-identity-expand
8×introduce-quire -p16-rgt-identity-expand
7×associate-/l/
6×*p16-lft-identity-expand associate-*r/ *p16-rgt-identity-expand p16-*-un-lft-identity
5×p16-flip--
3×associate--l- insert-quire-sub associate-/r* sub-neg p16-times-frac associate-*l/
2×distribute-rgt-in distribute-lft-in associate--r+
1×associate-/r/ insert-quire-fdp-sub associate-/l* associate--r- difference-of-squares
Counts
4 → 74
Calls
4 calls:
59.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
56.0ms
(-.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))
111.0ms
(/.p16 (*.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 (+.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 a b) c) (real->posit16 2)) b) (*.p16 (/.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))

simplify4.3s

Counts
78 → 78
Iterations
IterNodes
done5016
33247
2650
1150
066

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes614.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done15
015

end0.0ms

sample32.1s

Algorithm
halfpoints