Details

Time bar (total: 30.9s)

sample738.0ms

Algorithm
halfpoints
Results

simplify174.0ms

Calls
1 calls:
Slowest
173.0ms
(/.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))

prune164.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize439.0ms

Local error

Found 4 expressions with local error:

1.1b
(/.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 (real->posit16 2) i) (+.p16 beta alpha))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
3×+-commutative
2×associate-+r+
1×associate-+l+ associate-/r* p16-times-frac associate-*l/ p16-flip-- associate-/l* associate-/l/
Calls
4 calls:
Slowest
13.0ms
(+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))
7.0ms
(+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))
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))))
4.0ms
(+.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 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))
0.0ms
(+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))
0.0ms
(+.p16 beta (+.p16 alpha (real->posit16 2.0)))

simplify1.2s

Calls
10 calls:
Slowest
283.0ms
(/.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))
235.0ms
(/.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))
212.0ms
(/.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))
148.0ms
(/.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))
106.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize712.0ms

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
1×+-commutative associate-+l+ associate-*l/ associate-*r/ p16-flip-- *-commutative associate-/l/
Calls
4 calls:
Slowest
18.0ms
(+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))
12.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))
7.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
4.0ms
(*.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))))

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))

simplify1.1s

Calls
11 calls:
Slowest
339.0ms
(*.p16 (-.p16 beta alpha) (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))))
108.0ms
(/.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)))
104.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
77.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.4b

localize448.0ms

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
1×+-commutative associate-+r+ associate-*l/ associate-*r/ p16-flip-- *-commutative associate-/l/
Calls
4 calls:
Slowest
13.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
9.0ms
(/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i))))
9.0ms
(+.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 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))))

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 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
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 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))

simplify291.0ms

Calls
4 calls:
Slowest
251.0ms
(*.p16 (-.p16 beta alpha) (/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))))
29.0ms
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))
6.0ms
(-.p16 (*.p16 beta beta) (*.p16 alpha alpha))
4.0ms
(*.p16 (real->posit16 2) i)

prune737.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.4b

localize666.0ms

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
2×associate-*l/ associate-*r/ p16-flip-- associate-/l/
1×+-commutative associate-+r+ *-commutative associate-/l*
Calls
4 calls:
Slowest
20.0ms
(/.p16 (*.p16 (-.p16 beta alpha) (/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i))))) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
17.0ms
(/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i))))
16.0ms
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))
7.0ms
(*.p16 (-.p16 beta alpha) (/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))))

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 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i))))) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
0.0ms
(*.p16 (-.p16 beta alpha) (/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))))
0.0ms
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))

simplify2.4s

Calls
10 calls:
Slowest
535.0ms
(*.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))))
429.0ms
(*.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))))
367.0ms
(*.p16 (-.p16 beta alpha) (/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))))
361.0ms
(*.p16 (-.p16 beta alpha) (/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))))
323.0ms
(*.p16 (-.p16 beta alpha) (/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))))

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

regimes2.0s

Accuracy

-∞% (-63.4b remaining)

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

bsearch7.0ms

end0.0ms

sample16.0s

Algorithm
halfpoints
Results