Details

sample1.4s

Algorithm

halfpoints

Results

simplify271.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

271.0ms

(sqrt.p16 (*.p16 (*.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)))

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize233.0ms

Local error

Found 4 expressions with local error:

0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.2b	(+.p16 (+.p16 a b) c)

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

3×	`sub-neg` `p16-flip--`
1×	`+-commutative` `associate-+l+`

Counts

4 → 8

Calls

4 calls:

Slowest

45.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
35.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
35.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
8.0ms	(+.p16 (+.p16 a b) c)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.0ms	(+.p16 (+.p16 a b) c)

simplify2.3s

Counts

14 → 12

Calls

14 calls:

Slowest

518.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c))
394.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 a a))
365.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b))
282.0ms	(sqrt.p16 (.p16 (.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)))
239.0ms	(sqrt.p16 (.p16 (.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)))

prune463.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize351.0ms

Local error

Found 4 expressions with local error:

0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)
0.2b	(+.p16 (+.p16 a b) c)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

3×	`sub-neg` `p16-flip--`
1×	`+-commutative` `associate-+l+`

Counts

4 → 8

Calls

4 calls:

Slowest

38.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
33.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
11.0ms	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)
9.0ms	(+.p16 (+.p16 a b) c)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.0ms	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)
0.0ms	(+.p16 (+.p16 a b) c)

simplify1.4s

Counts

14 → 12

Calls

14 calls:

Slowest

502.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 a a))
487.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b))
375.0ms	(-.p16 (.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2))) (.p16 c c))
18.0ms	(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
15.0ms	(+.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)

prune316.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize263.0ms

Local error

Found 4 expressions with local error:

0.5b	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) b)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)
0.2b	(+.p16 (+.p16 a b) c)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

3×	`sub-neg` `p16-flip--`
1×	`+-commutative` `associate-+l+`

Counts

4 → 8

Calls

4 calls:

Slowest

21.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
13.0ms	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)
9.0ms	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) b)
8.0ms	(+.p16 (+.p16 a b) c)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) b)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.0ms	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)
0.0ms	(+.p16 (+.p16 a b) c)

simplify1.4s

Counts

14 → 12

Calls

14 calls:

Slowest

530.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 a a))
422.0ms	(-.p16 (.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2))) (.p16 c c))
404.0ms	(-.p16 (.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2))) (.p16 b b))
23.0ms	(+.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)
13.0ms	(+.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) b)

prune532.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize483.0ms

Local error

Found 4 expressions with local error:

0.5b	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) b)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)
0.2b	(+.p16 (+.p16 a b) c)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

3×	`sub-neg` `p16-flip--`
1×	`+-commutative` `associate-+l+`

Counts

4 → 8

Calls

4 calls:

Slowest

25.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
17.0ms	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) b)
14.0ms	(+.p16 (+.p16 a b) c)
9.0ms	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) b)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.0ms	(+.p16 (+.p16 a b) c)
0.0ms	(-.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)

simplify1.5s

Counts

14 → 12

Calls

14 calls:

Slowest

565.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 a a))
493.0ms	(-.p16 (.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2))) (.p16 b b))
369.0ms	(-.p16 (.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2))) (.p16 c c))
30.0ms	(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
28.0ms	(+.p16 (/.p16 (+.p16 a (+.p16 b c)) (real->posit16 2)) c)

prune457.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes298.0ms

Accuracy

-∞% (-63.8b remaining)

Error of 0.2b against oracle of 64.0b and baseline of 64.0b

bsearch3.0ms

end0.0ms

sample27.0s

Algorithm

halfpoints

Results