Details

Time bar (total: 23.9s)

sample518.0ms

Algorithm
halfpoints
Results

simplify511.0ms

Calls
1 calls:
Slowest
510.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))

prune110.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize555.0ms

Local error

Found 4 expressions with local error:

1.2b
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
0.5b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))
0.5b
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
0.3b
(*.p16 (real->posit16 4) (*.p16 a c))

rewrite18.0ms

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

series1.0ms

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))

simplify2.8s

Calls
5 calls:
Slowest
930.0ms
(-.p16 (*.p16 (neg.p16 b) (neg.p16 b)) (*.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))))
479.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
479.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
477.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
476.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize111.0ms

Local error

Found 4 expressions with local error:

1.2b
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
0.5b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))
0.4b
(/.p16 (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (real->posit16 2)) a)
0.3b
(*.p16 (real->posit16 4) (*.p16 a c))

rewrite14.0ms

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

series0.0ms

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))

simplify439.0ms

Calls
1 calls:
Slowest
438.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))

prune895.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

localize283.0ms

Local error

Found 4 expressions with local error:

1.2b
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))
0.5b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))
0.5b
(/.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))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×sub-neg
1×associate-/r* associate-/l/
Calls
4 calls:
Slowest
19.0ms
(-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))
5.0ms
(/.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

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 (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)))
0.0ms
(-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))

simplify858.0ms

Calls
1 calls:
Slowest
857.0ms
(-.p16 (*.p16 (neg.p16 b) (neg.p16 b)) (*.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))))

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.6b

localize355.0ms

Local error

Found 4 expressions with local error:

1.8b
(+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
1.1b
(/.p16 (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))))
0.5b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))
0.3b
(*.p16 (real->posit16 4) (*.p16 a c))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
1×+-commutative associate-/r* associate-*r* *-commutative
Calls
4 calls:
Slowest
6.0ms
(/.p16 (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))))
5.0ms
(+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
3.0ms
(*.p16 (real->posit16 4) (*.p16 a c))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))

series0.0ms

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 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.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 (real->posit16 4) (*.p16 a c))

simplify2.8s

Calls
5 calls:
Slowest
1.0s
(/.p16 (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))))
539.0ms
(/.p16 (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))))
521.0ms
(/.p16 (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))))
509.0ms
(/.p16 (+.p16 (*.p16 (+.p16 (neg.p16 b) b) (+.p16 (neg.p16 b) (neg.p16 b))) (*.p16 (real->posit16 4) (*.p16 a c))) (*.p16 (*.p16 (real->posit16 2) a) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))))
242.0ms
(+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))

prune881.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.5b

regimes2.0s

Accuracy

-∞% (-63.2b remaining)

Error of 0.8b against oracle of 64.0b and baseline of 64.0b

bsearch20.0ms

end0.0ms

sample8.3s

Algorithm
halfpoints
Results