Details

sample578.0ms

Algorithm

halfpoints

Results

simplify103.0ms

Calls

1 calls:

Slowest

103.0ms

(/.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))

prune65.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize288.0ms

Local error

Found 4 expressions with local error:

1.2b	(/.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 (.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 beta (+.p16 alpha (real->posit16 2.0)))
0.2b	(+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

2×	`+-commutative`
1×	`distribute-rgt-in` `associate-+l+` `associate-+r+` `associate-/r` `distribute-lft-in` `p16-times-frac` `associate-l/` `p16-flip--` `-commutative` `associate-/l` `associate-/l/`

Calls

4 calls:

Slowest

5.0ms	(.p16 (+.p16 (.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))
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 (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 beta (+.p16 alpha (real->posit16 2.0)))

simplify1.3s

Calls

12 calls:

Slowest

279.0ms	(/.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))
239.0ms	(/.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))
195.0ms	(/.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))
165.0ms	(.p16 (.p16 (real->posit16 2) i) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
151.0ms	(/.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))

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.4b

localize170.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

2×	`+-commutative`
1×	`associate-+l+` `associate-+r+` `p16-flip--` `associate-/l/`

Calls

4 calls:

Slowest

20.0ms	(+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))
8.0ms	(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))
4.0ms	(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
3.0ms	(+.p16 beta (+.p16 alpha (real->posit16 2.0)))

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 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))
0.0ms	(+.p16 beta (+.p16 alpha (real->posit16 2.0)))

simplify439.0ms

Calls

10 calls:

Slowest

94.0ms	(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
54.0ms	(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
54.0ms	(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
54.0ms	(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
42.0ms	(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))

prune355.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.4b

localize208.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

2×	`+-commutative` `associate-+r+`
1×	`p16-flip--` `associate-/l/`

Calls

4 calls:

Slowest

8.0ms	(/.p16 (+.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)))
5.0ms	(+.p16 (*.p16 (real->posit16 2) i) (+.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 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)))
0.0ms	(+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))

simplify17.0ms

Calls

2 calls:

Slowest

6.0ms	(-.p16 (.p16 beta beta) (.p16 alpha alpha))
4.0ms	(*.p16 (real->posit16 2) i)

prune746.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize235.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

2×	`+-commutative`
1×	`associate-+l+` `associate-+r+` `p16-flip--` `associate-/l/`

Calls

4 calls:

Slowest

24.0ms	(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))
8.0ms	(/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i))))
6.0ms	(+.p16 (+.p16 (*.p16 (real->posit16 2) i) beta) alpha)
4.0ms	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (*.p16 (real->posit16 2) i) 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 beta alpha) (+.p16 (+.p16 (*.p16 (real->posit16 2) i) beta) alpha))
0.0ms	(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))
0.0ms	(+.p16 (+.p16 (*.p16 (real->posit16 2) i) beta) alpha)

simplify25.0ms

Calls

3 calls:

Slowest

13.0ms	(-.p16 (.p16 beta beta) (.p16 alpha alpha))
6.0ms	(*.p16 (real->posit16 2) i)
5.0ms	(*.p16 (real->posit16 2) i)

prune448.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

regimes969.0ms

Accuracy

-∞% (-63.4b remaining)

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

bsearch14.0ms

end0.0ms

sample13.3s

Algorithm

halfpoints

Results