Details

sample672.0ms

Algorithm

halfpoints

Results

simplify155.0ms

Calls

1 calls:

Slowest

155.0ms

(/.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))

prune128.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize569.0ms

Local error

Found 4 expressions with local error:

0.8b	(/.p16 (.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)))
0.6b	(/.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)))
0.2b	(+.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))
0.2b	(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

46.0ms	(/.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)))
41.0ms	(+.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))
17.0ms	(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))
13.0ms	(/.p16 (.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)))

series0.0ms

Calls

4 calls:

Slowest

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

simplify390.0ms

Calls

7 calls:

Slowest

90.0ms	(/.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))
86.0ms	(/.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))
85.0ms	(/.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))
84.0ms	(/.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))
36.0ms	(.p16 (+.p16 alpha beta) (-.p16 (.p16 beta beta) (*.p16 alpha alpha)))

prune678.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

localize404.0ms

Local error

Found 4 expressions with local error:

0.6b	(/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (real->posit16 2.0)))
0.6b	(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
0.4b	(/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))
0.2b	(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0))

rewrite321.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

215.0ms	(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0))
84.0ms	(/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (real->posit16 2.0)))
12.0ms	(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
9.0ms	(/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))

series0.0ms

Calls

4 calls:

Slowest

0.0ms	(/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (real->posit16 2.0)))
0.0ms	(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0))
0.0ms	(/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))
0.0ms	(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))

simplify46.0ms

Calls

9 calls:

Slowest

29.0ms	(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
2.0ms	(-.p16 beta alpha)
2.0ms	(+.p16 alpha beta)
2.0ms	(+.p16 alpha beta)
2.0ms	(+.p16 beta alpha)

prune886.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize645.0ms

Local error

Found 4 expressions with local error:

0.6b	(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
0.6b	(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))
0.2b	(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha)))
0.2b	(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))) (real->posit16 1.0))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

111.0ms	(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))
62.0ms	(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha)))
19.0ms	(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))) (real->posit16 1.0))
17.0ms	(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))

series0.0ms

Calls

4 calls:

Slowest

0.0ms	(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
0.0ms	(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))) (real->posit16 1.0))
0.0ms	(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha)))
0.0ms	(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))

simplify123.0ms

Calls

8 calls:

Slowest

31.0ms	(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
28.0ms	(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
27.0ms	(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
27.0ms	(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
2.0ms	(-.p16 beta alpha)

prune944.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

localize743.0ms

Local error

Found 4 expressions with local error:

0.6b	(.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (-.p16 beta alpha))
0.6b	(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
0.2b	(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (real->posit16 2.0)))
0.2b	(+.p16 (.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (-.p16 beta alpha)) (real->posit16 1.0))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

4×	`sub-neg`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
1×	`+-commutative` `associate-l/` `associate-r/` `p16-flip--` `*-commutative` `associate-/l/`

Calls

4 calls:

Slowest

56.0ms	(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (real->posit16 2.0)))
15.0ms	(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
11.0ms	(.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (-.p16 beta alpha))
9.0ms	(+.p16 (.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (-.p16 beta alpha)) (real->posit16 1.0))

series0.0ms

Calls

4 calls:

Slowest

0.0ms	(.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (-.p16 beta alpha))
0.0ms	(+.p16 (.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (-.p16 beta alpha)) (real->posit16 1.0))
0.0ms	(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i)) (real->posit16 2.0)))
0.0ms	(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))

simplify3.4s

Calls

11 calls:

Slowest

830.0ms	(.p16 beta (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))))
825.0ms	(.p16 (neg.p16 alpha) (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))))
769.0ms	(.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (neg.p16 alpha))
719.0ms	(.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) beta)
264.0ms	(.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) i))) (-.p16 beta alpha))

prune1.2s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.4b

regimes2.6s

Accuracy

-∞% (-63.4b remaining)

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

bsearch8.0ms

end0.0ms

sample17.1s

Algorithm

halfpoints

Results