Details

sample1.1s

Algorithm

halfpoints

Results

simplify3.6s

Counts: 1 → 1

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize257.0ms

Local error

Found 4 expressions with local error:

0.6b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.4b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.2b	(.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))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 13

Calls

4 calls:

Slowest

49.0ms	(.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))
47.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
44.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
43.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

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 (+.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))
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)

simplify766.0ms

Counts: 17 → 17

prune730.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize329.0ms

Local error

Found 4 expressions with local error:

0.9b	(/.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))
0.6b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
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))
0.4b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 9

Calls

4 calls:

Slowest

61.0ms	(/.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))
45.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
26.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
6.0ms	(-.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

Counts

4 → 4

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

simplify2.7s

Counts: 13 → 13

prune410.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize407.0ms

Local error

Found 4 expressions with local error:

1.0b	(/.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))
0.9b	(/.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))
0.6b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
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))

rewrite420.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 9

Calls

4 calls:

Slowest

333.0ms	(/.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))
61.0ms	(/.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))
22.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
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

Counts

4 → 4

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

simplify2.5s

Counts: 13 → 13

prune582.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize532.0ms

Local error

Found 4 expressions with local error:

1.0b	(/.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))
0.9b	(/.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))
0.9b	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
0.7b	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 9

Calls

4 calls:

Slowest

83.0ms	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
77.0ms	(/.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))
66.0ms	(/.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))
3.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b))

series0.0ms

Counts

4 → 4

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

simplify3.9s

Counts: 13 → 13

prune435.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes581.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch3.0ms

end0.0ms

sample30.1s

Algorithm

halfpoints

Results