Details

Time bar (total: 20.4s)

sample337.0ms

Algorithm
halfpoints
Results

simplify4.4s

Counts
1 → 1

prune52.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize217.0ms

Local error

Found 4 expressions with local error:

0.8b
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))
0.3b
(*.p16 (real->posit16 4) (*.p16 a c))
0.3b
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip--
1×associate-/r* sub-neg associate-*r* *-commutative associate-/l/
Counts
4 → 6
Calls
4 calls:
Slowest
4.0ms
(*.p16 (real->posit16 4) (*.p16 a c))
3.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
3.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))

series0.0ms

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

simplify1.2s

Counts
10 → 10

prune658.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize234.0ms

Local error

Found 4 expressions with local error:

0.8b
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))
0.3b
(*.p16 (real->posit16 4) (*.p16 a c))
0.3b
(/.p16 (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (real->posit16 2)) a)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
1×sub-neg associate-*r* p16-flip-- *-commutative associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
4.0ms
(*.p16 (real->posit16 4) (*.p16 a c))
3.0ms
(/.p16 (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (real->posit16 2)) a)
2.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))

series0.0ms

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

simplify950.0ms

Counts
9 → 9

prune591.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.0b

localize253.0ms

Local error

Found 4 expressions with local error:

0.8b
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))
0.3b
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))) (*.p16 (real->posit16 2) a))
0.2b
(-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×sub-neg
1×associate-/r* associate-/l/
Counts
4 → 6
Calls
4 calls:
Slowest
13.0ms
(-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))
6.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))) (*.p16 (real->posit16 2) a))
3.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))

series0.0ms

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

simplify2.7s

Counts
10 → 10

prune540.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.0b

localize349.0ms

Local error

Found 4 expressions with local error:

1.8b
(/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 (real->posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))
0.8b
(-.p16 (neg.p16 b) (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 (real->posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))))
0.4b
(sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 (real->posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))
0.3b
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 (real->posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (*.p16 (real->posit16 2) a))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×associate-/l/
1×associate-/r* sub-neg associate-/l* difference-of-squares
Counts
4 → 6
Calls
4 calls:
Slowest
13.0ms
(/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 (real->posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))
4.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 (real->posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (*.p16 (real->posit16 2) a))
1.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 (real->posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))))
0.0ms
(sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 (real->posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))

series0.0ms

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

simplify3.7s

Counts
10 → 10

prune557.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.0b

regimes905.0ms

Accuracy

-∞% (-62.4b remaining)

Error of 1.6b against oracle of 64.0b and baseline of 64.0b

bsearch16.0ms

end0.0ms

sample2.7s

Algorithm
halfpoints
Results