Details

Time bar (total: 48.1s)

sample1.3s

Algorithm
halfpoints
Results

simplify262.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
261.0ms
(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)))

prune38.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize203.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

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
29.0ms
(*.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))
26.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
22.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
22.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(-.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 (+.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)) b)
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)

simplify4.2s

Counts
21 → 17
Calls
21 calls:
Slowest
513.0ms
(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)))
413.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b))
402.0ms
(*.p16 (neg.p16 b) (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)))
398.0ms
(*.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)) (neg.p16 b))
359.0ms
(*.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))

prune697.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize346.0ms

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 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)) b)
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))

rewrite132.0ms

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
82.0ms
(/.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 a b) c) (real->posit16 2)) b)
22.0ms
(-.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

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)

simplify3.6s

Counts
21 → 13
Calls
21 calls:
Slowest
610.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 c c))
469.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 c c))
462.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 c c))
427.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b))
386.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 c c))

prune656.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize590.0ms

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

rewrite276.0ms

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
116.0ms
(/.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))
110.0ms
(/.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))
44.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
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 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 c c))
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)

simplify3.5s

Counts
20 → 13
Calls
20 calls:
Slowest
569.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b))
473.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b))
439.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))
352.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b))
342.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b))

prune412.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize849.0ms

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

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
5×p16-flip--
3×sub-neg associate-*l/ associate-/l/
2×associate-*r/
1×associate-/l* difference-of-squares
Counts
4 → 11
Calls
4 calls:
Slowest
79.0ms
(/.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 (+.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))
35.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
22.0ms
(-.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 (+.p16 a b) c) (real->posit16 2)) a)) (-.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 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b))
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)) a)

simplify3.5s

Counts
19 → 15
Calls
19 calls:
Slowest
529.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 c c))
489.0ms
(/.p16 (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b) (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b)))
463.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))
305.0ms
(+.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b))
299.0ms
(*.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 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b)))

prune585.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes647.0ms

Accuracy

-∞% (-63.8b remaining)

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

bsearch6.0ms

end0.0ms

sample26.0s

Algorithm
halfpoints
Results