Details

sample247.0ms

Algorithm

halfpoints

Results

simplify479.0ms

Calls

1 calls:

Slowest

479.0ms

(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

prune82.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize364.0ms

Local error

Found 4 expressions with local error:

0.6b	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
0.3b	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
0.1b	(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.0b	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

15.0ms	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
12.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
9.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
9.0ms	(+.p16 (+.p16 alpha beta) (real->posit16 2.0))

series0.0ms

Calls

4 calls:

Slowest

0.0ms	(/.p16 (-.p16 beta alpha) (+.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 alpha beta) (real->posit16 2.0))
0.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

simplify1.8s

Calls

5 calls:

Slowest

522.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
424.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
411.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
396.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
6.0ms	(-.p16 (.p16 beta beta) (.p16 alpha alpha))

prune657.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize150.0ms

Local error

Found 4 expressions with local error:

0.6b	(/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0))))
0.3b	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0))
0.2b	(+.p16 beta (+.p16 alpha (real->posit16 2.0)))
0.0b	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

11.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
7.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0))
5.0ms	(+.p16 beta (+.p16 alpha (real->posit16 2.0)))
5.0ms	(/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0))))

series0.0ms

Calls

4 calls:

Slowest

0.0ms	(/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0))))
0.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0))
0.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 beta (+.p16 alpha (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
0.0ms	(+.p16 beta (+.p16 alpha (real->posit16 2.0)))

simplify16.0ms

Calls

2 calls:

Slowest

12.0ms	(-.p16 (.p16 beta beta) (.p16 alpha alpha))
3.0ms	(real->posit16 2.0)

prune649.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.6b

localize147.0ms

Local error

Found 4 expressions with local error:

0.6b	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta (real->posit16 2.0)) alpha))
0.3b	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta (real->posit16 2.0)) alpha)) (real->posit16 1.0))
0.2b	(+.p16 (+.p16 beta (real->posit16 2.0)) alpha)
0.0b	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta (real->posit16 2.0)) alpha)) (real->posit16 1.0)) (real->posit16 2.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

11.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta (real->posit16 2.0)) alpha)) (real->posit16 1.0)) (real->posit16 2.0))
8.0ms	(+.p16 (+.p16 beta (real->posit16 2.0)) alpha)
8.0ms	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta (real->posit16 2.0)) alpha))
7.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta (real->posit16 2.0)) alpha)) (real->posit16 1.0))

series0.0ms

Calls

4 calls:

Slowest

0.0ms	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta (real->posit16 2.0)) alpha))
0.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta (real->posit16 2.0)) alpha)) (real->posit16 1.0))
0.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta (real->posit16 2.0)) alpha)) (real->posit16 1.0)) (real->posit16 2.0))
0.0ms	(+.p16 (+.p16 beta (real->posit16 2.0)) alpha)

simplify12.0ms

Calls

2 calls:

Slowest

10.0ms	(-.p16 (.p16 beta beta) (.p16 alpha alpha))
2.0ms	(real->posit16 2.0)

prune380.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.6b

localize180.0ms

Local error

Found 4 expressions with local error:

1.1b	(/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))
0.3b	(+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0))
0.3b	(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))
0.1b	(*.p16 (-.p16 beta alpha) (+.p16 alpha beta))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

55.0ms	(+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0))
20.0ms	(/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))
9.0ms	(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))
4.0ms	(*.p16 (-.p16 beta alpha) (+.p16 alpha beta))

series0.0ms

Calls

4 calls:

Slowest

0.0ms	(/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))
0.0ms	(+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0))
0.0ms	(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))
0.0ms	(*.p16 (-.p16 beta alpha) (+.p16 alpha beta))

simplify777.0ms

Calls

26 calls:

Slowest

134.0ms	(/.p16 (+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0)) (real->posit16 2.0))
114.0ms	(/.p16 (+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0)) (real->posit16 2.0))
111.0ms	(/.p16 (+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0)) (real->posit16 2.0))
96.0ms	(/.p16 (+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0)) (real->posit16 2.0))
61.0ms	(.p16 (-.p16 (.p16 beta beta) (*.p16 alpha alpha)) (+.p16 alpha beta))

prune1.7s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.4b

regimes1.1s

Accuracy

-∞% (-63.2b remaining)

Error of 0.8b against oracle of 64.0b and baseline of 64.0b

bsearch2.0ms

end0.0ms

sample5.5s

Algorithm

halfpoints

Results