Details

Time bar (total: 24.0s)

sample243.0ms

Algorithm
halfpoints

simplify30.0ms

Counts
1 → 1
Iterations
IterNodes
done28
328
226
119
012

prune43.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize178.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
0.1b
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.4b
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
0.6b
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
151×*p16-lft-identity-expand p16-*-un-lft-identity
111×*p16-rgt-identity-expand
105×p16-times-frac
50×p16-distribute-lft-out distribute-lft-out
35×distribute-rgt-out
28×/p16-rgt-identity-expand
26×associate-/l*
22×associate-/r/
15×associate-/r*
12×introduce-quire
10×distribute-lft1-in
8×-p16-rgt-identity-expand
7×+p16-lft-identity-expand +p16-rgt-identity-expand
6×insert-quire-fdp-add
4×associate-+r+
3×associate-+l+ associate-/l/
2×+-commutative associate-+r- insert-quire-add associate-+l-
1×p16-flip--
Counts
4 → 233
Calls
4 calls:
105.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
11.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
50.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
17.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
0.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
0.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

simplify2.2s

Counts
237 → 237
Iterations
IterNodes
done5000
31588
2266
164
041

prune829.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.6b

localize156.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
0.1b
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
0.4b
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
0.6b
(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
101×*p16-lft-identity-expand p16-*-un-lft-identity
91×*p16-rgt-identity-expand
78×p16-times-frac
30×p16-distribute-lft-out distribute-rgt-out distribute-lft-out
28×/p16-rgt-identity-expand
26×associate-/l*
22×associate-/r/
10×distribute-lft1-in
8×introduce-quire -p16-rgt-identity-expand
6×associate-/r* +p16-lft-identity-expand +p16-rgt-identity-expand
4×associate-+r-
3×associate-+r+ insert-quire-fdp-add associate-/l/
2×+-commutative associate-+l+
1×insert-quire-add p16-flip-- associate-+l-
Counts
4 → 182
Calls
4 calls:
34.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
9.0ms
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
18.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
7.0ms
(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
0.0ms
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
0.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
0.0ms
(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))

simplify1.6s

Counts
186 → 186
Iterations
IterNodes
done5000
31426
2220
154
036

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize215.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.p16 (+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta))) (real->posit16 2.0))
0.1b
(+.p16 (+.p16 (real->posit16 2.0) alpha) beta)
0.4b
(+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta)))
0.6b
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta))

rewrite271.0ms

Algorithm
rewrite-expression-head
Rules
107×*p16-lft-identity-expand p16-*-un-lft-identity
97×*p16-rgt-identity-expand
87×p16-times-frac
30×p16-distribute-lft-out distribute-rgt-out distribute-lft-out
29×/p16-rgt-identity-expand
26×associate-/l*
23×associate-/r/
20×introduce-quire
13×insert-quire-fdp-add
10×distribute-rgt1-in
8×-p16-rgt-identity-expand
6×associate-/r* +p16-lft-identity-expand +p16-rgt-identity-expand
4×insert-quire-add associate-+l-
3×associate-+l+ associate-/l/
2×+-commutative associate-+r+
1×associate-+r- p16-flip--
Counts
4 → 194
Calls
4 calls:
132.0ms
(/.p16 (+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta))) (real->posit16 2.0))
11.0ms
(+.p16 (+.p16 (real->posit16 2.0) alpha) beta)
85.0ms
(+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta)))
37.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/.p16 (+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta))) (real->posit16 2.0))
0.0ms
(+.p16 (+.p16 (real->posit16 2.0) alpha) beta)
0.0ms
(+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta)))
0.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta))

simplify2.5s

Counts
198 → 198
Iterations
IterNodes
done5006
31356
2246
177
053

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize286.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (real->posit16 1.0)) (-.p16 beta alpha) (/.p16 (real->posit16 1.0) (+.p16 (real->posit16 2.0) (+.p16 alpha beta))))) (real->posit16 2.0))
0.1b
(+.p16 (real->posit16 2.0) (+.p16 alpha beta))
0.3b
(/.p16 (real->posit16 1.0) (+.p16 (real->posit16 2.0) (+.p16 alpha beta)))
15.7b
(quire16-mul-add (posit16->quire16 (real->posit16 1.0)) (-.p16 beta alpha) (/.p16 (real->posit16 1.0) (+.p16 (real->posit16 2.0) (+.p16 alpha beta))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
69×*p16-lft-identity-expand p16-*-un-lft-identity
45×p16-times-frac
39×*p16-rgt-identity-expand
20×p16-distribute-lft-out distribute-lft-out
15×associate-/r*
7×introduce-quire /p16-rgt-identity-expand
6×associate-/l*
5×distribute-rgt-out -p16-rgt-identity-expand
4×+p16-lft-identity-expand +p16-rgt-identity-expand
3×insert-quire-fdp-add
2×associate-+l+ associate-/r/ associate-/l/
1×+-commutative associate-+r+ associate-+r- insert-quire-add associate-+l-
Counts
4 → 113
Calls
4 calls:
1.0ms
(/.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (real->posit16 1.0)) (-.p16 beta alpha) (/.p16 (real->posit16 1.0) (+.p16 (real->posit16 2.0) (+.p16 alpha beta))))) (real->posit16 2.0))
8.0ms
(+.p16 (real->posit16 2.0) (+.p16 alpha beta))
12.0ms
(/.p16 (real->posit16 1.0) (+.p16 (real->posit16 2.0) (+.p16 alpha beta)))
0.0ms
(quire16-mul-add (posit16->quire16 (real->posit16 1.0)) (-.p16 beta alpha) (/.p16 (real->posit16 1.0) (+.p16 (real->posit16 2.0) (+.p16 alpha beta))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (real->posit16 1.0)) (-.p16 beta alpha) (/.p16 (real->posit16 1.0) (+.p16 (real->posit16 2.0) (+.p16 alpha beta))))) (real->posit16 2.0))
0.0ms
(+.p16 (real->posit16 2.0) (+.p16 alpha beta))
0.0ms
(/.p16 (real->posit16 1.0) (+.p16 (real->posit16 2.0) (+.p16 alpha beta)))
0.0ms
(quire16-mul-add (posit16->quire16 (real->posit16 1.0)) (-.p16 beta alpha) (/.p16 (real->posit16 1.0) (+.p16 (real->posit16 2.0) (+.p16 alpha beta))))

simplify5.7s

Counts
117 → 117
Iterations
IterNodes
done5002
64590
51781
4722
3385
2145
148
033

prune900.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

regimes424.0ms

Accuracy

0% (0.3b remaining)

Error of 0.8b against oracle of 0.5b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done14
014

end0.0ms

sample5.2s

Algorithm
halfpoints