Details

sample1.2s

Algorithm

halfpoints

Results

simplify250.0ms

Calls

1 calls:

Slowest

250.0ms

(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)))

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize361.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

3×	`sub-neg` `p16-flip--`

Calls

4 calls:

Slowest

9.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
9.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
9.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
5.0ms	(/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))

series0.0ms

Calls

4 calls:

Slowest

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

simplify939.0ms

Calls

4 calls:

Slowest

265.0ms	(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)))
241.0ms	(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)))
224.0ms	(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)))
208.0ms	(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)))

prune345.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize150.0ms

Local error

Found 4 expressions with local error:

1.2b	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c))
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

4×	`p16-flip--`
3×	`sub-neg`
2×	`difference-of-squares`
1×	`associate-/l*` `associate-/l/`

Calls

4 calls:

Slowest

15.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
13.0ms	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))
7.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
3.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c))

series0.0ms

Calls

4 calls:

Slowest

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

simplify277.0ms

Calls

4 calls:

Slowest

125.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
116.0ms	(-.p16 (.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)))) (.p16 (.p16 c c) (.p16 c c)))
19.0ms	(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
15.0ms	(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

prune566.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize71.0ms

Local error

Found 4 expressions with local error:

1.2b	(/.p16 (*.p16 (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))
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)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

4×	`p16-flip--`
3×	`sub-neg`
1×	`associate-r/` `associate-/l` `associate-/l/`

Calls

4 calls:

Slowest

28.0ms	(/.p16 (*.p16 (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))
11.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
10.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
10.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

series0.0ms

Calls

4 calls:

Slowest

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

simplify1.2s

Calls

10 calls:

Slowest

653.0ms	(.p16 (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c) (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 c c)))
112.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
110.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
99.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
89.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

prune390.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize281.0ms

Local error

Found 4 expressions with local error:

1.2b	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))
1.1b	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 a a)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
0.5b	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 a a))
0.5b	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

4×	`p16-flip--` `difference-of-squares`
2×	`sub-neg` `associate-/l*` `associate-/l/`

Calls

4 calls:

Slowest

28.0ms	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))
25.0ms	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 a a)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
3.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 a a))
3.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c))

series0.0ms

Calls

4 calls:

Slowest

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

simplify537.0ms

Calls

8 calls:

Slowest

171.0ms	(-.p16 (.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)))) (.p16 (.p16 c c) (.p16 c c)))
126.0ms	(-.p16 (.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)))) (.p16 (.p16 a a) (.p16 a a)))
82.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
82.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
27.0ms	(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)

prune413.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes593.0ms

Accuracy

-∞% (-63.8b remaining)

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

bsearch6.0ms

end0.0ms

sample27.0s

Algorithm

halfpoints

Results