Details

sample262.0ms

Algorithm

halfpoints

Results

simplify88.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

88.0ms

(/.p16 (/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))

prune69.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize231.0ms

Local error

Found 4 expressions with local error:

0.7b	(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))))
0.3b	(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))
0.3b	(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.2b	(/.p16 (/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

4 → 4

Calls

4 calls:

Slowest

80.0ms	(/.p16 (/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
58.0ms	(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))))
54.0ms	(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
8.0ms	(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))))
0.0ms	(/.p16 (/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
0.0ms	(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms	(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))

simplify483.0ms

Counts

6 → 8

Calls

6 calls:

Slowest

113.0ms	(/.p16 (/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
98.0ms	(/.p16 (/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
97.0ms	(/.p16 (/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
89.0ms	(/.p16 (/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
61.0ms	(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))))

prune283.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize327.0ms

Local error

Found 4 expressions with local error:

0.7b	(/.p16 (+.p16 (+.p16 alpha (+.p16 beta (.p16 beta alpha))) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))))
0.3b	(/.p16 (/.p16 (+.p16 (+.p16 alpha (+.p16 beta (.p16 beta alpha))) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.2b	(+.p16 alpha (+.p16 beta (*.p16 beta alpha)))
0.2b	(+.p16 beta (*.p16 beta alpha))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 4

Calls

4 calls:

Slowest

49.0ms	(/.p16 (+.p16 (+.p16 alpha (+.p16 beta (.p16 beta alpha))) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))))
47.0ms	(/.p16 (/.p16 (+.p16 (+.p16 alpha (+.p16 beta (.p16 beta alpha))) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
8.0ms	(+.p16 alpha (+.p16 beta (*.p16 beta alpha)))
6.0ms	(+.p16 beta (*.p16 beta alpha))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (+.p16 (+.p16 alpha (+.p16 beta (.p16 beta alpha))) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))))
0.0ms	(/.p16 (/.p16 (+.p16 (+.p16 alpha (+.p16 beta (.p16 beta alpha))) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms	(+.p16 alpha (+.p16 beta (*.p16 beta alpha)))
0.0ms	(+.p16 beta (*.p16 beta alpha))

simplify54.0ms

Counts

2 → 8

Calls

2 calls:

Slowest

51.0ms	(+.p16 (+.p16 alpha (+.p16 beta (*.p16 beta alpha))) (real->posit16 1.0))
2.0ms	(*.p16 beta alpha)

prune318.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize354.0ms

Local error

Found 4 expressions with local error:

0.7b	(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))))
0.3b	(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))
0.2b	(.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.2b	(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

1×	`distribute-rgt-in` `+-commutative` `associate-+l+` `associate-/r` `distribute-lft-in` `-commutative` `associate-/l/`

Counts

4 → 7

Calls

4 calls:

Slowest

79.0ms	(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
75.0ms	(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))))
11.0ms	(.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
8.0ms	(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))))
0.0ms	(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
0.0ms	(.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms	(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))

simplify300.0ms

Counts

8 → 11

Calls

8 calls:

Slowest

100.0ms	(.p16 (.p16 (real->posit16 2) (real->posit16 1)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
67.0ms	(.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (*.p16 (real->posit16 2) (real->posit16 1)))
29.0ms	(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))
28.0ms	(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))
27.0ms	(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))

prune592.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize387.0ms

Local error

Found 4 expressions with local error:

0.7b	(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (.p16 (real->posit16 2) (real->posit16 1)))))
0.3b	(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))
0.3b	(.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (+.p16 alpha beta))
0.2b	(+.p16 (.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (*.p16 (real->posit16 2) (real->posit16 1))))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-+l+`
2×	`distribute-rgt-in` `+-commutative` `associate-/r*` `p16-distribute-lft-out` `distribute-lft-in` `distribute-lft-out`
1×	`*-commutative`

Counts

4 → 12

Calls

4 calls:

Slowest

104.0ms	(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (.p16 (real->posit16 2) (real->posit16 1)))))
17.0ms	(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))
15.0ms	(.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (+.p16 alpha beta))
9.0ms	(+.p16 (.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (*.p16 (real->posit16 2) (real->posit16 1))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (.p16 (real->posit16 2) (real->posit16 1)))))
0.0ms	(+.p16 (.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (+.p16 alpha beta)) (.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms	(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))
0.0ms	(.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (+.p16 alpha beta))

simplify824.0ms

Counts

14 → 16

Calls

14 calls:

Slowest

121.0ms	(.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (*.p16 (real->posit16 2) (real->posit16 1)))
111.0ms	(.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (*.p16 (real->posit16 2) (real->posit16 1)))
110.0ms	(.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (*.p16 (real->posit16 2) (real->posit16 1)))
106.0ms	(.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (*.p16 (real->posit16 2) (real->posit16 1)))
68.0ms	(.p16 beta (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))))

prune833.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes537.0ms

Accuracy

-∞% (-63.6b remaining)

Error of 0.4b against oracle of 64.0b and baseline of 64.0b

bsearch8.0ms

end0.0ms

sample6.2s

Algorithm

halfpoints

Results