Details

Time bar (total: 1.1m)

sample306.0ms

Algorithm
halfpoints

simplify8.5s

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

prune73.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize220.0ms

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))
0.6b
(/.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)))

rewrite52.0ms

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)))
9.0ms
(*.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))
24.0ms
(/.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)))

simplify20.7s

Counts
118 → 118
Iterations
IterNodes
35177
2534
1162
065

prune5.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize178.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.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)))
0.3b
(/.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))))
4.0ms
(/.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)))

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)))

simplify3.0s

Counts
135 → 135
Iterations
IterNodes
33866
2773
1156
058

prune6.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize261.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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:
2.0ms
(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
5.0ms
(*.p16 (/.p16 i (real->posit16 2)) (/.p16 (/.p16 i (real->posit16 2)) (-.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)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))) (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
6.0ms
(/.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 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

prune5.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize215.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
60×p16-times-frac
39×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
20×/p16-rgt-identity-expand
17×associate-*r* associate-/r/
12×associate-/l*
9×associate-/r*
6×+p16-lft-identity-expand +p16-rgt-identity-expand
4×introduce-quire -p16-rgt-identity-expand associate-/l/
2×distribute-rgt-in distribute-lft-in associate-*r/ p16-flip--
1×*-commutative
Counts
4 → 120
Calls
4 calls:
4.0ms
(/.p16 (*.p16 i (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))) (real->posit16 2))
4.0ms
(*.p16 i (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))))
6.0ms
(/.p16 (/.p16 (*.p16 i (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))) (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)))

series0.0ms

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

simplify3.5s

Counts
124 → 124
Iterations
IterNodes
45096
31537
2472
1129
059

prune5.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes225.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
112
012

end0.0ms

sample6.4s

Algorithm
halfpoints