Details

Time bar (total: 27.7s)

sample513.0ms

Algorithm
halfpoints
Results

simplify88.0ms

Calls
1 calls:
Slowest
88.0ms
(/.p16 (+.p16 (/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

prune113.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize532.0ms

Local error

Found 4 expressions with local error:

1.3b
(/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))))
0.2b
(+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))
0.2b
(+.p16 beta (+.p16 alpha (real->posit16 2.0)))
0.2b
(+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))) (real->posit16 1.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
3×+-commutative
1×associate-+l+ associate-+r+ associate-/r* p16-times-frac associate-*l/ p16-flip-- associate-/l* associate-/l/
Calls
4 calls:
Slowest
6.0ms
(+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))) (real->posit16 1.0))
5.0ms
(+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))
4.0ms
(/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))))
2.0ms
(+.p16 beta (+.p16 alpha (real->posit16 2.0)))

series0.0ms

Calls
4 calls:
Slowest
0.0ms
(/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))))
0.0ms
(+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))) (real->posit16 1.0))
0.0ms
(+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))
0.0ms
(+.p16 beta (+.p16 alpha (real->posit16 2.0)))

simplify1.0s

Calls
10 calls:
Slowest
254.0ms
(/.p16 (+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))) (real->posit16 1.0)) (real->posit16 2.0))
224.0ms
(/.p16 (+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))) (real->posit16 1.0)) (real->posit16 2.0))
191.0ms
(/.p16 (+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))) (real->posit16 1.0)) (real->posit16 2.0))
168.0ms
(/.p16 (+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))) (real->posit16 1.0)) (real->posit16 2.0))
53.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))

prune864.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

localize157.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))
0.6b
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
0.3b
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))))
0.2b
(+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
1×+-commutative associate-+l+ associate-*l/ associate-*r/ p16-flip-- *-commutative associate-/l/
Calls
4 calls:
Slowest
5.0ms
(+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))
4.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))
3.0ms
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))))
2.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))

series0.0ms

Calls
4 calls:
Slowest
0.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))
0.0ms
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))))
0.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
0.0ms
(+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))

simplify627.0ms

Calls
11 calls:
Slowest
184.0ms
(*.p16 (-.p16 beta alpha) (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))))
66.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
58.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))
54.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
53.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize287.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i))))
0.6b
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
0.3b
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))))
0.2b
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
1×+-commutative associate-+r+ associate-*l/ associate-*r/ p16-flip-- *-commutative associate-/l/
Calls
4 calls:
Slowest
4.0ms
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))
4.0ms
(/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i))))
3.0ms
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))))
2.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))

series0.0ms

Calls
4 calls:
Slowest
0.0ms
(/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i))))
0.0ms
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))))
0.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
0.0ms
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))

simplify230.0ms

Calls
4 calls:
Slowest
186.0ms
(*.p16 (-.p16 beta alpha) (/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))))
34.0ms
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))
6.0ms
(-.p16 (*.p16 beta beta) (*.p16 alpha alpha))
3.0ms
(*.p16 (real->posit16 2) i)

prune683.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

localize146.0ms

Local error

Found 4 expressions with local error:

0.6b
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
0.5b
(/.p16 (*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (+.p16 beta alpha)) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i))))
0.3b
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (+.p16 beta alpha))
0.2b
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
2×associate-*l/ associate-/l/
1×distribute-rgt-in +-commutative associate-+r+ distribute-lft-in p16-flip-- *-commutative associate-/l*
Calls
4 calls:
Slowest
23.0ms
(/.p16 (*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (+.p16 beta alpha)) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i))))
8.0ms
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))
4.0ms
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (+.p16 beta alpha))
4.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))

series0.0ms

Calls
4 calls:
Slowest
0.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
0.0ms
(/.p16 (*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (+.p16 beta alpha)) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i))))
0.0ms
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (+.p16 beta alpha))
0.0ms
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))

simplify2.0s

Calls
11 calls:
Slowest
896.0ms
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) alpha)
765.0ms
(*.p16 alpha (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))))
106.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
57.0ms
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))
56.0ms
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))

prune975.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.3b

regimes2.9s

Accuracy

-∞% (-63.4b remaining)

Error of 0.6b against oracle of 64.0b and baseline of 64.0b

bsearch6.0ms

end0.0ms

sample15.2s

Algorithm
halfpoints
Results