Details

sample199.0ms

Algorithm

halfpoints

Results

simplify390.0ms

Calls

1 calls:

Slowest

390.0ms

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

prune52.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize302.0ms

Local error

Found 4 expressions with local error:

0.7b	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
0.4b	(+.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))
0.1b	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

6.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
4.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
2.0ms	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
2.0ms	(+.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 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 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

simplify2.1s

Calls

5 calls:

Slowest

573.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
512.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
499.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
484.0ms	(/.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))

prune424.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.8b

localize561.0ms

Local error

Found 4 expressions with local error:

0.7b	(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
0.4b	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
0.2b	(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
0.1b	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

6.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
4.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
2.0ms	(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
2.0ms	(+.p16 alpha (+.p16 beta (real->posit16 2.0)))

series0.0ms

Calls

4 calls:

Slowest

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

simplify8.0ms

Calls

2 calls:

Slowest

6.0ms	(-.p16 (.p16 beta beta) (.p16 alpha alpha))
1.0ms	(real->posit16 2.0)

prune468.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.8b

localize263.0ms

Local error

Found 4 expressions with local error:

1.2b	(/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha)))
0.4b	(+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))) (real->posit16 1.0))
0.2b	(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
0.2b	(*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

6.0ms	(+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))) (real->posit16 1.0))
3.0ms	(/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha)))
3.0ms	(*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))
2.0ms	(+.p16 alpha (+.p16 beta (real->posit16 2.0)))

series0.0ms

Calls

4 calls:

Slowest

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

simplify820.0ms

Calls

12 calls:

Slowest

151.0ms	(/.p16 (+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))) (real->posit16 1.0)) (real->posit16 2.0))
150.0ms	(/.p16 (+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))) (real->posit16 1.0)) (real->posit16 2.0))
147.0ms	(/.p16 (+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))) (real->posit16 1.0)) (real->posit16 2.0))
125.0ms	(/.p16 (+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))) (real->posit16 1.0)) (real->posit16 2.0))
71.0ms	(.p16 (-.p16 (.p16 beta beta) (*.p16 alpha alpha)) (+.p16 alpha beta))

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.7b

localize341.0ms

Local error

Found 4 expressions with local error:

1.2b	(/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (+.p16 (.p16 beta (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (*.p16 alpha (+.p16 alpha (+.p16 beta (real->posit16 2.0))))))
0.4b	(+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (+.p16 (.p16 beta (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (*.p16 alpha (+.p16 alpha (+.p16 beta (real->posit16 2.0)))))) (real->posit16 1.0))
0.3b	(+.p16 (.p16 beta (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (.p16 alpha (+.p16 alpha (+.p16 beta (real->posit16 2.0)))))
0.2b	(*.p16 beta (+.p16 alpha (+.p16 beta (real->posit16 2.0))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

9.0ms	(+.p16 (/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (+.p16 (.p16 beta (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (*.p16 alpha (+.p16 alpha (+.p16 beta (real->posit16 2.0)))))) (real->posit16 1.0))
6.0ms	(+.p16 (.p16 beta (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (.p16 alpha (+.p16 alpha (+.p16 beta (real->posit16 2.0)))))
6.0ms	(/.p16 (.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (+.p16 (.p16 beta (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (*.p16 alpha (+.p16 alpha (+.p16 beta (real->posit16 2.0))))))
4.0ms	(*.p16 beta (+.p16 alpha (+.p16 beta (real->posit16 2.0))))

series0.0ms

Calls

4 calls:

Slowest

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

simplify435.0ms

Calls

17 calls:

Slowest

80.0ms	(.p16 (-.p16 (.p16 beta beta) (*.p16 alpha alpha)) (+.p16 alpha beta))
73.0ms	(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
51.0ms	(*.p16 alpha (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
46.0ms	(*.p16 alpha (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
46.0ms	(*.p16 alpha (+.p16 alpha (+.p16 beta (real->posit16 2.0))))

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.7b

regimes927.0ms

Accuracy

-∞% (-63.3b remaining)

Error of 0.7b against oracle of 64.0b and baseline of 64.0b

bsearch3.0ms

end0.0ms

sample5.9s

Algorithm

halfpoints

Results