Details

Time bar (total: 10.5s)

sample298.0ms

Algorithm
halfpoints
Results

simplify349.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
348.0ms
(/.p16 (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))

prune82.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize309.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
2×sub-neg p16-flip--
1×associate-*l* *-commutative
Counts
4 → 6
Calls
4 calls:
Slowest
7.0ms
(-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))
7.0ms
(*.p16 (*.p16 c a) (real->posit16 4))
5.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))

series0.0ms

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

simplify1.5s

Counts
4 → 10
Calls
4 calls:
Slowest
433.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
407.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
331.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
312.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))

prune311.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.1b

localize202.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×sub-neg
1×associate-/r* associate-/l/
Counts
4 → 6
Calls
4 calls:
Slowest
10.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (*.p16 (real->posit16 2) a))
5.0ms
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))
2.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))

series0.0ms

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

simplify701.0ms

Counts
1 → 10
Calls
1 calls:
Slowest
700.0ms
(-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))) (*.p16 b b))

prune388.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.0b

localize187.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
2×sub-neg p16-flip--
1×associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
5.0ms
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))
3.0ms
(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)
2.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))

series0.0ms

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

simplify329.0ms

Counts
1 → 9
Calls
1 calls:
Slowest
328.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)

prune385.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.0b

localize335.0ms

Local error

Found 4 expressions with local error:

1.9b
(/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 c a) (real->posit16 4)) (*.p16 (*.p16 c a) (real->posit16 4)))) (+.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
0.8b
(-.p16 (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 c a) (real->posit16 4)) (*.p16 (*.p16 c a) (real->posit16 4)))) (+.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))) b)
0.4b
(sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 c a) (real->posit16 4)) (*.p16 (*.p16 c a) (real->posit16 4)))) (+.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))))
0.3b
(*.p16 (*.p16 c a) (real->posit16 4))

rewrite447.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip--
1×sub-neg associate-*l* *-commutative associate-/l* difference-of-squares associate-/l/
Counts
4 → 6
Calls
4 calls:
Slowest
440.0ms
(/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 c a) (real->posit16 4)) (*.p16 (*.p16 c a) (real->posit16 4)))) (+.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
4.0ms
(*.p16 (*.p16 c a) (real->posit16 4))
2.0ms
(-.p16 (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 c a) (real->posit16 4)) (*.p16 (*.p16 c a) (real->posit16 4)))) (+.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))) b)
0.0ms
(sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 c a) (real->posit16 4)) (*.p16 (*.p16 c a) (real->posit16 4)))) (+.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))))

series0.0ms

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

simplify218.0ms

Counts
2 → 10
Calls
2 calls:
Slowest
205.0ms
(-.p16 (*.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 b b) (*.p16 b b))) (*.p16 (*.p16 (*.p16 (*.p16 c a) (real->posit16 4)) (*.p16 (*.p16 c a) (real->posit16 4))) (*.p16 (*.p16 (*.p16 c a) (real->posit16 4)) (*.p16 (*.p16 c a) (real->posit16 4)))))
12.0ms
(+.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))

prune334.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.0b

regimes653.0ms

Accuracy

-∞% (-62.5b remaining)

Error of 1.5b against oracle of 64.0b and baseline of 64.0b

bsearch3.0ms

end0.0ms

sample3.5s

Algorithm
halfpoints
Results