Details

Time bar (total: 1.0m)

sample296.0ms

Algorithm
halfpoints

simplify6.9s

Counts
1 → 1
Iterations
IterNodes
57419
41467
3322
288
132
012

prune55.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize186.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))
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))
0.8b
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
22×distribute-rgt-in distribute-lft-in
20×+p16-lft-identity-expand +p16-rgt-identity-expand
14×associate--l+
12×*p16-lft-identity-expand /p16-rgt-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
9×difference-of-squares
8×introduce-quire
7×associate-/r* p16-times-frac
6×-p16-rgt-identity-expand associate-*r/
5×associate-*r* associate-*l*
4×associate-*l/ associate-/r/
3×difference-of-sqr-1 insert-quire-fdp-sub associate-/l/
2×p16-flip-- *-commutative associate--r+
1×associate--l- insert-quire-sub sub-neg associate-/l* associate--r-
Counts
4 → 114
Calls
4 calls:
11.0ms
(*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))
6.0ms
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2)))
19.0ms
(-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
8.0ms
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.p16 i (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 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 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2))) (-.p16 (*.p16 (*.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))

simplify19.7s

Counts
118 → 118
Iterations
IterNodes
35177
2534
1162
065

prune4.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize230.0ms

Local error

Found 4 expressions with local error:

0.1b
(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
0.2b
(*.p16 (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.3b
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.4b
(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
48×p16-times-frac
39×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
22×/p16-rgt-identity-expand
20×associate-/r/
17×associate-*r*
16×associate-*l*
10×+p16-lft-identity-expand +p16-rgt-identity-expand
8×introduce-quire associate-/l*
6×associate-/r* -p16-rgt-identity-expand associate--l+
4×distribute-rgt-in distribute-lft-in
3×p16-flip-- insert-quire-fdp-sub
2×associate--r+ associate-/l/
1×associate--l- insert-quire-sub sub-neg associate-*l/ associate-*r/ *-commutative associate--r-
Counts
4 → 131
Calls
4 calls:
2.0ms
(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
6.0ms
(*.p16 (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
3.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
4.0ms
(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.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)) (real->posit16 1.0))
0.0ms
(*.p16 (/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.0ms
(/.p16 (/.p16 i (real->posit16 2)) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))

simplify2.9s

Counts
135 → 135
Iterations
IterNodes
33500
2739
1156
058

prune6.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize304.0ms

Local error

Found 4 expressions with local error:

0.1b
(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
0.3b
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.3b
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.3b
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
27×p16-times-frac
25×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
17×associate-*r*
16×/p16-rgt-identity-expand
13×associate-/r/
10×+p16-lft-identity-expand +p16-rgt-identity-expand
8×introduce-quire
6×associate-/r* -p16-rgt-identity-expand associate--l+
5×associate-/l*
4×distribute-rgt-in distribute-lft-in associate-*l* associate-/l/
3×p16-flip-- insert-quire-fdp-sub
2×associate-*l/ associate-*r/ associate--r+
1×associate--l- insert-quire-sub sub-neg *-commutative associate--r-
Counts
4 → 109
Calls
4 calls:
4.0ms
(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
9.0ms
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
10.0ms
(/.p16 (*.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
8.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))

series1.0ms

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

simplify1.9s

Counts
113 → 113
Iterations
IterNodes
32879
2622
1147
059

prune4.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize200.0ms

Local error

Found 4 expressions with local error:

0.1b
(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
0.2b
(*.p16 i (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.3b
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.4b
(/.p16 (*.p16 i (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))) (*.p16 (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×p16-times-frac
22×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
17×associate-*r* /p16-rgt-identity-expand
14×associate-/r/
10×+p16-lft-identity-expand +p16-rgt-identity-expand
8×introduce-quire
6×-p16-rgt-identity-expand associate--l+
5×associate-/l*
4×distribute-rgt-in associate-/r* distribute-lft-in
3×associate-*r/ p16-flip-- insert-quire-fdp-sub associate-/l/
2×associate--r+
1×associate--l- insert-quire-sub sub-neg associate-*l/ *-commutative associate--r-
Counts
4 → 101
Calls
4 calls:
3.0ms
(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
4.0ms
(*.p16 i (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
3.0ms
(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
5.0ms
(/.p16 (*.p16 i (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))) (*.p16 (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2)))

series0.0ms

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

simplify1.2s

Counts
105 → 105
Iterations
IterNodes
32548
2426
1115
054

prune4.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

regimes238.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
115
015

end0.0ms

sample5.8s

Algorithm
halfpoints