Details

Time bar (total: 55.2s)

sample305.0ms

Algorithm
halfpoints

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5001
41467
3322
288
132
012

prune40.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize224.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.p16 (real->posit16 2) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
0.2b
(-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
0.4b
(*.p16 i (/.p16 i (*.p16 (real->posit16 2) (*.p16 (real->posit16 2) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))))
0.5b
(/.p16 i (*.p16 (real->posit16 2) (*.p16 (real->posit16 2) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
50×distribute-rgt-in distribute-lft-in
42×associate--l+
30×+p16-lft-identity-expand +p16-rgt-identity-expand
16×associate-*r* /p16-rgt-identity-expand
15×associate-*r/
12×associate-/r/
10×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
8×introduce-quire -p16-rgt-identity-expand
6×difference-of-squares
5×associate-*l/
4×p16-flip--
3×sub-neg associate-*l* insert-quire-fdp-sub associate--r-
2×difference-of-sqr-1 *-commutative associate--r+
1×associate--l- insert-quire-sub associate-/r*
Counts
4 → 132
Calls
4 calls:
11.0ms
(*.p16 (real->posit16 2) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
3.0ms
(-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
4.0ms
(*.p16 i (/.p16 i (*.p16 (real->posit16 2) (*.p16 (real->posit16 2) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))))
6.0ms
(/.p16 i (*.p16 (real->posit16 2) (*.p16 (real->posit16 2) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (real->posit16 2) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
0.0ms
(-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
0.0ms
(*.p16 i (/.p16 i (*.p16 (real->posit16 2) (*.p16 (real->posit16 2) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))))
0.0ms
(/.p16 i (*.p16 (real->posit16 2) (*.p16 (real->posit16 2) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))))

simplify1.7s

Counts
136 → 136
Iterations
IterNodes
done5145
2817
1251
0101

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.6b

localize300.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.p16 (real->posit16 2) (*.p16 (real->posit16 2) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))
0.1b
(*.p16 (real->posit16 2) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
0.2b
(-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
0.7b
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) (*.p16 (real->posit16 2) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
162×distribute-rgt-in distribute-lft-in
98×associate--l+
62×+p16-lft-identity-expand +p16-rgt-identity-expand
16×/p16-rgt-identity-expand
14×associate-*r/
12×-p16-rgt-identity-expand
10×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
8×introduce-quire associate-*r*
7×sub-neg associate--r-
6×associate-*l* associate-/r/ difference-of-squares
5×associate-*l/
4×p16-flip--
3×insert-quire-fdp-sub
2×difference-of-sqr-1 *-commutative associate--r+
1×associate--l- insert-quire-sub associate-/r* p16-times-frac associate-/l* associate-/l/
Counts
4 → 206
Calls
4 calls:
29.0ms
(*.p16 (real->posit16 2) (*.p16 (real->posit16 2) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))
10.0ms
(*.p16 (real->posit16 2) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
5.0ms
(-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
9.0ms
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) (*.p16 (real->posit16 2) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (real->posit16 2) (*.p16 (real->posit16 2) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))
0.0ms
(*.p16 (real->posit16 2) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
0.0ms
(-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
0.0ms
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) (*.p16 (real->posit16 2) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))))

simplify3.1s

Counts
210 → 210
Iterations
IterNodes
done5565
21208
1491
0186

prune1.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.4b

localize175.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))
0.1b
(*.p16 (*.p16 (real->posit16 2) (real->posit16 2)) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
0.2b
(-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
0.7b
(/.p16 (*.p16 i i) (*.p16 (*.p16 (real->posit16 2) (real->posit16 2)) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
58×distribute-rgt-in distribute-lft-in
42×associate--l+
34×+p16-lft-identity-expand +p16-rgt-identity-expand
18×/p16-rgt-identity-expand
10×associate-*l/ associate-*r/
8×*p16-lft-identity-expand introduce-quire associate-*r* -p16-rgt-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
6×associate-/r/ difference-of-squares
3×sub-neg p16-flip-- insert-quire-fdp-sub associate--r-
2×difference-of-sqr-1 associate-*l* *-commutative associate--r+
1×associate--l- insert-quire-sub associate-/r* p16-times-frac associate-/l* associate-/l/
Counts
4 → 139
Calls
4 calls:
6.0ms
(*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))
6.0ms
(*.p16 (*.p16 (real->posit16 2) (real->posit16 2)) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
3.0ms
(-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
4.0ms
(/.p16 (*.p16 i i) (*.p16 (*.p16 (real->posit16 2) (real->posit16 2)) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))
0.0ms
(*.p16 (*.p16 (real->posit16 2) (real->posit16 2)) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))
0.0ms
(-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
0.0ms
(/.p16 (*.p16 i i) (*.p16 (*.p16 (real->posit16 2) (real->posit16 2)) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))

simplify25.6s

Counts
143 → 143
Iterations
IterNodes
done5003
2771
1306
0101

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize245.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))
0.2b
(-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
0.3b
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) (real->posit16 2)))
0.6b
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
58×p16-times-frac
37×/p16-rgt-identity-expand
30×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
29×associate-/r/
27×difference-of-squares
20×distribute-rgt-in distribute-lft-in
18×+p16-lft-identity-expand +p16-rgt-identity-expand
14×associate--l+
13×associate-*r/
11×associate-*l/
9×difference-of-sqr-1
8×associate-/r* introduce-quire associate-/l*
6×-p16-rgt-identity-expand
3×insert-quire-fdp-sub
2×p16-flip-- associate--r+ associate-/l/
1×associate--l- insert-quire-sub sub-neg associate-*r* associate-*l* *-commutative associate--r-
Counts
4 → 152
Calls
4 calls:
11.0ms
(*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))
6.0ms
(-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
7.0ms
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) (real->posit16 2)))
10.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))
0.0ms
(-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
0.0ms
(/.p16 (*.p16 i i) (*.p16 (real->posit16 2) (real->posit16 2)))
0.0ms
(/.p16 (/.p16 (*.p16 i i) (*.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))

simplify9.4s

Counts
156 → 156
Iterations
IterNodes
done5000
32918
2471
1175
070

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes189.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done12
012

end0.0ms

sample5.2s

Algorithm
halfpoints