Details

Time bar (total: 21.0s)

sample467.0ms

Algorithm
halfpoints
Results

simplify277.0ms

Calls
1 calls:
Slowest
276.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))

prune101.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize549.0ms

Local error

Found 4 expressions with local error:

1.3b
(-.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))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip--
1×associate-/r* sub-neg associate-*r* *-commutative associate-/l/
Calls
4 calls:
Slowest
8.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
7.0ms
(*.p16 (real->posit16 4) (*.p16 a c))
6.0ms
(-.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))))

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))

simplify2.4s

Calls
5 calls:
Slowest
713.0ms
(-.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))))))
446.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
439.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
438.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
355.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize305.0ms

Local error

Found 4 expressions with local error:

1.3b
(-.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))

rewrite9.0ms

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

simplify658.0ms

Calls
1 calls:
Slowest
657.0ms
(-.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)))))

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.7b

localize365.0ms

Local error

Found 4 expressions with local error:

1.3b
(-.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 (/.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))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
1×sub-neg associate-*r* p16-flip-- *-commutative associate-/l/
Calls
4 calls:
Slowest
11.0ms
(*.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

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))

simplify314.0ms

Calls
1 calls:
Slowest
313.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))

prune904.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.6b

localize886.0ms

Local error

Found 4 expressions with local error:

1.5b
(+.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))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
1×+-commutative associate-/r* associate-*r* *-commutative
Calls
4 calls:
Slowest
4.0ms
(*.p16 (real->posit16 4) (*.p16 a c))
3.0ms
(/.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)))))))
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

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))

simplify1.9s

Calls
5 calls:
Slowest
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)))))))
464.0ms
(/.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)))))))
432.0ms
(/.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)))))))
272.0ms
(/.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)))))))
196.0ms
(+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))

prune502.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.6b

regimes1.4s

Accuracy

-∞% (-63.2b remaining)

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

bsearch12.0ms

end0.0ms

sample7.7s

Algorithm
halfpoints
Results