quadp (p42, positive)

Time bar (total: 4.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze148.0ms (3.6%)

Memory
-3.0MiB live, 188.2MiB allocated; 35ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
48.3%45.2%48.4%0.1%0%6.2%0%8
53%48.4%42.9%0.1%0%8.6%0%9
58.1%50.3%36.3%0.1%0%13.3%0%10
66.1%56.8%29.1%0.1%0%14%0%11
70.4%58.8%24.7%0.1%0%16.4%0%12
Compiler

Compiled 19 to 16 computations (15.8% saved)

sample2.1s (52.2%)

Memory
8.3MiB live, 2 102.9MiB allocated; 1.2s collecting garbage
Samples
788.0ms1 191×2valid
538.0ms5 501×0valid
335.0ms1 350×1valid
65.0ms903×0invalid
48.0ms214×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-neg: 536.0ms (40.7% of total)
ival-mult!: 236.0ms (17.9% of total)
adjust: 215.0ms (16.3% of total)
ival-sqrt: 167.0ms (12.7% of total)
ival-div!: 92.0ms (7% of total)
ival-sub!: 35.0ms (2.7% of total)
ival-add!: 35.0ms (2.7% of total)
Bogosity

preprocess82.0ms (2%)

Memory
-42.8MiB live, 13.8MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060175
1272160
2952160
35232160
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 28 to 28 computations (0% saved)

series38.0ms (0.9%)

Memory
23.5MiB live, 23.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05984418
Stop Event
iter-limit
Counts
14 → 112
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
(*.f64 b b)
(*.f64 #s(literal 4 binary64) (*.f64 a c))
#s(literal 4 binary64)
(*.f64 a c)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b))) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (-.f64 (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (-.f64 (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (-.f64 (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 a (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))))) b))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 a (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))))))
#s(approx (- (* b b) (* 4 (* a c))) (pow.f64 b #s(literal 2 binary64)))
#s(approx (- (* b b) (* 4 (* a c))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (pow.f64 b #s(literal 2 binary64))))
#s(approx (* 4 (* a c)) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
#s(approx (* a c) (*.f64 a c))
#s(approx a a)
#s(approx (* 2 a) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal -1 binary64) (/.f64 b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 a (-.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))) (/.f64 b a))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 a (-.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))))) (/.f64 b a))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))))))))
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 a (-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) a) (*.f64 #s(literal 4 binary64) c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))) (*.f64 #s(literal 1/2 binary64) b)) a) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))))) a) (*.f64 #s(literal 1/2 binary64) b)) a) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -1 binary64) (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (/.f64 b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))) b) a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))) a)) b) a))))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))))))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))))))))
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)) (*.f64 #s(literal -4 binary64) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) a) (*.f64 b (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 b (*.f64 a (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) a) (*.f64 b (-.f64 (*.f64 b (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 #s(literal -1 binary64) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))))) #s(literal 1 binary64)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 b (-.f64 (*.f64 b (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))))))) #s(literal 1 binary64)))))
#s(approx (neg b) (*.f64 #s(literal -1 binary64) b))
#s(approx b b)
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c))))))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c))))))))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c))))))))))
#s(approx (- (* b b) (* 4 (* a c))) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 #s(literal -1 binary64) c (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64))))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) c (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64)))))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) c (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a c) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 a c) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64)))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 a c) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) (pow.f64 b #s(literal 6 binary64))))))) b))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 b (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 b (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))))))
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 c (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 c (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 c (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal -1 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a) (*.f64 c (-.f64 (*.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (-.f64 (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (-.f64 (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 c (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))))) b))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 c (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))))))
#s(approx c c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 c (-.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))))) (/.f64 b c))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 c (-.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))))) (/.f64 b c))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))))))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))))))))
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 c (-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) c) (*.f64 #s(literal 4 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 a c)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (*.f64 c (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))))) c) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (*.f64 c (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))))) c) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -1 binary64) (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (/.f64 b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))) b) c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))) c)) b) c))))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))))))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))))))))
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))))))))))
#s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -1 binary64) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) c)) (*.f64 #s(literal -4 binary64) a)))))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
a
@inf
((/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) b (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (* b b) (* 4 (* a c)) 4 (* a c) a c (* 2 a) 2)
3.0ms
b
@0
((/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) b (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (* b b) (* 4 (* a c)) 4 (* a c) a c (* 2 a) 2)
2.0ms
a
@-inf
((/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) b (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (* b b) (* 4 (* a c)) 4 (* a c) a c (* 2 a) 2)
2.0ms
b
@inf
((/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) b (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (* b b) (* 4 (* a c)) 4 (* a c) a c (* 2 a) 2)
2.0ms
a
@0
((/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) b (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (* b b) (* 4 (* a c)) 4 (* a c) a c (* 2 a) 2)

rewrite51.0ms (1.2%)

Memory
-7.6MiB live, 36.9MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01470
02370
19168
071164
1244264
Stop Event
saturated
iter-limit
node-limit
iter-limit
Counts
14 → 94
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
(*.f64 b b)
(*.f64 #s(literal 4 binary64) (*.f64 a c))
#s(literal 4 binary64)
(*.f64 a c)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (+.f64 a a)))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) a)))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal 1 binary64)) (+.f64 a a))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) (+.f64 a a)) (+.f64 a a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (+.f64 a a))
(/.f64 (fma.f64 (neg.f64 b) (+.f64 a a) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 a a))) (*.f64 (+.f64 a a) (+.f64 a a)))
(/.f64 (fma.f64 (neg.f64 b) (+.f64 a a) (*.f64 (+.f64 a a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 (+.f64 a a) (+.f64 a a)))
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal 1/2 binary64))) (neg.f64 a))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) #s(literal 1/2 binary64)) a)
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (*.f64 #s(literal -2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (neg.f64 (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (+.f64 a a))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) (+.f64 a a)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (neg.f64 b) (+.f64 a a)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 a a)))
(-.f64 (/.f64 (neg.f64 b) (+.f64 a a)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 a a))))
(-.f64 (/.f64 (neg.f64 b) (+.f64 a a)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (+.f64 a a)))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 a a)) (/.f64 (neg.f64 b) (+.f64 a a)))
(+.f64 (/.f64 (neg.f64 b) (+.f64 a a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 a a)))
(neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 (neg.f64 b)))
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
(-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))
(+.f64 (neg.f64 b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(neg.f64 b)
b
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(pow.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64))
(neg.f64 (-.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
(fma.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c (*.f64 b b))
(fma.f64 (neg.f64 (*.f64 c a)) #s(literal 4 binary64) (*.f64 b b))
(fma.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(fma.f64 (*.f64 a #s(literal 4 binary64)) (neg.f64 c) (*.f64 b b))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 c a)) (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(sqrt.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))
(-.f64 (*.f64 b b) (neg.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))
(fabs.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 b) b))
(neg.f64 (*.f64 b (neg.f64 b)))
(fabs.f64 (*.f64 b b))
(*.f64 (*.f64 #s(literal 4 binary64) c) a)
(*.f64 (*.f64 a #s(literal 4 binary64)) c)
(*.f64 (*.f64 c a) #s(literal 4 binary64))
(*.f64 c (*.f64 a #s(literal 4 binary64)))
(*.f64 a (*.f64 c #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 c a))
#s(literal 4 binary64)
(*.f64 c a)
(*.f64 a c)
a
c
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) a (*.f64 #s(literal 1 binary64) a))
(fma.f64 a #s(literal 1 binary64) (*.f64 a #s(literal 1 binary64)))
(-.f64 a (neg.f64 a))
(+.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a))
(+.f64 a a)
#s(literal 2 binary64)

eval33.0ms (0.8%)

Memory
-8.2MiB live, 37.1MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 101 to 996 computations (67.9% saved)

prune12.0ms (0.3%)

Memory
17.4MiB live, 17.4MiB allocated; 0ms collecting garbage
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New18215197
Fresh000
Picked101
Done000
Total18315198
Accuracy
99.9%
Counts
198 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.0%
(/.f64 (fma.f64 (neg.f64 b) (+.f64 a a) (*.f64 (+.f64 a a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 (+.f64 a a) (+.f64 a a)))
55.6%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (+.f64 a a))
34.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
21.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 b c))))) (*.f64 #s(literal 2 binary64) a))
17.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
32.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
55.5%
(*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a))
37.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))))
17.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
20.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a)))))
16.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
12.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))) a)))
20.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
34.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (/.f64 c b)))
34.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (/.f64 b a)))
Compiler

Compiled 620 to 606 computations (2.3% saved)

series57.0ms (1.4%)

Memory
11.3MiB live, 107.3MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06764742
Stop Event
iter-limit
Counts
31 → 136
Calls
Call 1
Inputs
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (+.f64 a a))
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
c
a
(*.f64 b b)
b
(+.f64 a a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (/.f64 b a)))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
#s(literal -1 binary64)
(/.f64 b a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))
(*.f64 #s(literal -4 binary64) (/.f64 c a))
(/.f64 c a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))
(*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))
(sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))
(*.f64 #s(literal -4 binary64) (/.f64 a c))
(/.f64 a c)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) a)
Outputs
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b))) a))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))) a))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))))) a))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (-.f64 (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))) b))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (-.f64 (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))) b))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (-.f64 (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 a (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))))) b))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 a (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))))))
#s(approx (+ (* -4 (* c a)) (* b b)) (pow.f64 b #s(literal 2 binary64)))
#s(approx (+ (* -4 (* c a)) (* b b)) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (pow.f64 b #s(literal 2 binary64))))
#s(approx (* c a) (*.f64 a c))
#s(approx a a)
#s(approx (+ a a) (*.f64 #s(literal 2 binary64) a))
#s(approx (* -1 (/ b a)) (*.f64 #s(literal -1 binary64) (/.f64 b a)))
#s(approx (/ b a) (/.f64 b a))
#s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) a)))
#s(approx (sqrt (* -4 (/ c a))) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) a))
#s(approx (* -4 (/ c a)) (*.f64 #s(literal -4 binary64) (/.f64 c a)))
#s(approx (/ c a) (/.f64 c a))
#s(approx (* c (sqrt (* -4 (/ a c)))) (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))
#s(approx (sqrt (* -4 (/ a c))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))
#s(approx (* -4 (/ a c)) (*.f64 #s(literal -4 binary64) (/.f64 a c)))
#s(approx (/ a c) (/.f64 a c))
#s(approx (/ 1/2 a) (/.f64 #s(literal 1/2 binary64) a))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal -1 binary64) (/.f64 b a)))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 a (-.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))) (/.f64 b a))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 a (-.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))))) (/.f64 b a))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))))))))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 a (fma.f64 #s(literal -4 binary64) c (/.f64 (pow.f64 b #s(literal 2 binary64)) a))))
#s(approx (sqrt (* -4 (/ c a))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))
#s(approx (* c (sqrt (* -4 (/ a c)))) (*.f64 a (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))))))
#s(approx (sqrt (* -4 (/ a c))) (*.f64 a (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))) (*.f64 #s(literal 1/2 binary64) b)) a) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))))) a) (*.f64 #s(literal 1/2 binary64) b)) a) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (/.f64 b a)))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))) b) a))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))) a)) b) a))))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))))))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))))))))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a) (*.f64 #s(literal 4 binary64) c)))))
#s(approx (* c (sqrt (* -4 (/ a c)))) (*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))))))
#s(approx (sqrt (* -4 (/ a c))) (*.f64 #s(literal -1 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) a))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) a) (*.f64 b (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 b (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) a) (*.f64 b (-.f64 (*.f64 b (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 #s(literal -1 binary64) b)))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal 1 binary64)))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (-.f64 (*.f64 b (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))))
#s(approx b b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) a) (*.f64 b (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 b (*.f64 a (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) a) (*.f64 b (-.f64 (*.f64 b (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 #s(literal -1 binary64) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))))) #s(literal 1 binary64)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 b (-.f64 (*.f64 b (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))))))) #s(literal 1 binary64)))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (/.f64 c b)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal -1 binary64) c (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64))))) b))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) c (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64)))))) b))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) c (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))))))) b))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a c) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64))))) b))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 a c) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64)))))) b))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 a c) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) (pow.f64 b #s(literal 6 binary64))))))) b))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (*.f64 b (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (*.f64 b (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))))))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64)))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 c (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 c (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 c (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) a)))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -2 binary64) b))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (*.f64 #s(literal -1 binary64) b))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a) (*.f64 c (-.f64 (*.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (-.f64 (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))) b))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (-.f64 (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 c (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))))) b))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 c (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))))))
#s(approx c c)
#s(approx (sqrt (* -4 (/ a c))) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) c))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))) a)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a)))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a)))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 b c)))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 c (-.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))))) (/.f64 b c))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 c (-.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))))) (/.f64 b c))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))))))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))))))))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 c (fma.f64 #s(literal -4 binary64) a (/.f64 (pow.f64 b #s(literal 2 binary64)) c))))
#s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal 1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))))))
#s(approx (sqrt (* -4 (/ c a))) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))) a)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 a c)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (*.f64 c (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))))) c) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (*.f64 c (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))))) c) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (/.f64 b c)))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))) b) c))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))) c)) b) c))))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))))))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))))))))
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))))))))))
#s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -1 binary64) (*.f64 c (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) c) (*.f64 #s(literal 4 binary64) a)))))
#s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))))))
#s(approx (sqrt (* -4 (/ c a))) (*.f64 #s(literal -1 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))))))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
a
@-inf
((/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) -4 (* c a) c a (* b b) b (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* -1 (/ b a)) -1 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* 1/2 (sqrt (* -4 (/ c a)))) 1/2 (sqrt (* -4 (/ c a))) (* -4 (/ c a)) (/ c a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* c (sqrt (* -4 (/ a c)))) (sqrt (* -4 (/ a c))) (* -4 (/ a c)) (/ a c) (* 2 a) 2 (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (/ 1/2 a)) (/ 1/2 a))
6.0ms
a
@0
((/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) -4 (* c a) c a (* b b) b (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* -1 (/ b a)) -1 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* 1/2 (sqrt (* -4 (/ c a)))) 1/2 (sqrt (* -4 (/ c a))) (* -4 (/ c a)) (/ c a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* c (sqrt (* -4 (/ a c)))) (sqrt (* -4 (/ a c))) (* -4 (/ a c)) (/ a c) (* 2 a) 2 (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (/ 1/2 a)) (/ 1/2 a))
3.0ms
a
@inf
((/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) -4 (* c a) c a (* b b) b (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* -1 (/ b a)) -1 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* 1/2 (sqrt (* -4 (/ c a)))) 1/2 (sqrt (* -4 (/ c a))) (* -4 (/ c a)) (/ c a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* c (sqrt (* -4 (/ a c)))) (sqrt (* -4 (/ a c))) (* -4 (/ a c)) (/ a c) (* 2 a) 2 (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (/ 1/2 a)) (/ 1/2 a))
3.0ms
c
@-inf
((/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) -4 (* c a) c a (* b b) b (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* -1 (/ b a)) -1 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* 1/2 (sqrt (* -4 (/ c a)))) 1/2 (sqrt (* -4 (/ c a))) (* -4 (/ c a)) (/ c a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* c (sqrt (* -4 (/ a c)))) (sqrt (* -4 (/ a c))) (* -4 (/ a c)) (/ a c) (* 2 a) 2 (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (/ 1/2 a)) (/ 1/2 a))
3.0ms
c
@inf
((/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) -4 (* c a) c a (* b b) b (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* -1 (/ b a)) -1 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* 1/2 (sqrt (* -4 (/ c a)))) 1/2 (sqrt (* -4 (/ c a))) (* -4 (/ c a)) (/ c a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* c (sqrt (* -4 (/ a c)))) (sqrt (* -4 (/ a c))) (* -4 (/ a c)) (/ a c) (* 2 a) 2 (* (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (/ 1/2 a)) (/ 1/2 a))

rewrite71.0ms (1.7%)

Memory
-31.0MiB live, 108.0MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041229
063219
1260203
01665203
15053203
Stop Event
saturated
iter-limit
node-limit
iter-limit
Counts
31 → 241
Calls
Call 1
Inputs
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (+.f64 a a))
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
c
a
(*.f64 b b)
b
(+.f64 a a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (/.f64 b a)))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
#s(literal -1 binary64)
(/.f64 b a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))
(*.f64 #s(literal -4 binary64) (/.f64 c a))
(/.f64 c a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))
(*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))
(sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))
(*.f64 #s(literal -4 binary64) (/.f64 a c))
(/.f64 a c)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) a)
Outputs
(*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal -1/2 binary64)))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 1/2 binary64))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -1/2 binary64)) (neg.f64 a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (neg.f64 a))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) b) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 b) #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 b) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) b)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal -1/2 binary64))) (neg.f64 a))
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal -1/2 binary64)) a)
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal -2 binary64))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal 2 binary64))
(neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
(neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 2 binary64)))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -2 binary64)))
(neg.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (neg.f64 b)))
(fma.f64 (neg.f64 b) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1/2 binary64) (*.f64 (neg.f64 b) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 b #s(literal 1/2 binary64)))
(-.f64 (*.f64 (neg.f64 b) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (neg.f64 b) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 b)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (neg.f64 b)))
(+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 b) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (neg.f64 b) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1/2 binary64)))
(neg.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))
(-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 (neg.f64 b)))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)
(+.f64 (neg.f64 b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b))
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#s(literal 1/2 binary64)

eval66.0ms (1.6%)

Memory
30.8MiB live, 128.3MiB allocated; 11ms collecting garbage
Compiler

Compiled 6 227 to 1 645 computations (73.6% saved)

prune22.0ms (0.5%)

Memory
-10.5MiB live, 35.1MiB allocated; 4ms collecting garbage
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New45614470
Fresh10010
Picked325
Done000
Total46916485
Accuracy
99.9%
Counts
485 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.6%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (+.f64 a a))
34.6%
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (+.f64 a a))
21.7%
(/.f64 #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 b c))))) (+.f64 a a))
32.0%
(/.f64 #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (+.f64 a a))
31.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 c #s(approx (sqrt (* -4 (/ a c))) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) c)))) (*.f64 #s(literal 2 binary64) a))
55.5%
(*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a))
37.8%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))))
17.3%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
20.5%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a)))))
12.1%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))) a)))
20.2%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
34.8%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (/.f64 c b)))
34.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
34.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)))
16.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a))))
29.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))))))
Compiler

Compiled 631 to 623 computations (1.3% saved)

series125.0ms (3.1%)

Memory
-16.7MiB live, 128.0MiB allocated; 68ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04813373
Stop Event
iter-limit
Counts
44 → 102
Calls
Call 1
Inputs
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a)
(-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b)
(sqrt.f64 (pow.f64 b #s(literal 2 binary64)))
(pow.f64 b #s(literal 2 binary64))
b
#s(literal 2 binary64)
a
(*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))
c
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))
#s(literal -1 binary64)
(/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 a c)
(pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a)))
(sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a))
(/.f64 (*.f64 c #s(literal -4 binary64)) a)
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))))))
#s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))))
#s(literal -1/2 binary64)
(*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))))
(sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))
(/.f64 #s(literal -4 binary64) (*.f64 a c))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
(/.f64 b a)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))
(sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))
(*.f64 #s(literal -4 binary64) (/.f64 c a))
(/.f64 c a)
Outputs
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b))) a))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))) a))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))))) a))
#s(approx (/ (- (sqrt (pow b 2)) b) a) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a))
#s(approx a a)
#s(approx (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2))))) (*.f64 #s(literal -1 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))
#s(approx (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2))))) (fma.f64 #s(literal -1 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))
#s(approx (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))
#s(approx (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))
#s(approx (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))))
#s(approx (/ (* a c) (pow (sqrt (pow b 2)) 3)) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))
#s(approx (* a c) (*.f64 a c))
#s(approx (/ (neg b) a) (*.f64 #s(literal -1 binary64) (/.f64 b a)))
#s(approx (* 1/2 (sqrt (/ (* c -4) a))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) a)))
#s(approx (sqrt (/ (* c -4) a)) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) a))
#s(approx (/ (* c -4) a) (*.f64 #s(literal -4 binary64) (/.f64 c a)))
#s(approx (* -1/2 (* c (sqrt (/ -4 (* a c))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))) a)))
#s(approx (* c (sqrt (/ -4 (* a c)))) (/.f64 (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))) a))
#s(approx (sqrt (/ -4 (* a c))) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a))
#s(approx (/ -4 (* a c)) (/.f64 #s(literal -4 binary64) (*.f64 a c)))
#s(approx (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a))
#s(approx (/ b a) (/.f64 b a))
#s(approx (/ c a) (/.f64 c a))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))))
#s(approx (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))))
#s(approx (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))))))
#s(approx (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (sqrt (/ (* c -4) a)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))
#s(approx (* -1/2 (* c (sqrt (/ -4 (* a c))))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))))))
#s(approx (* c (sqrt (/ -4 (* a c)))) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))))
#s(approx (sqrt (/ -4 (* a c))) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))) (*.f64 #s(literal 1/2 binary64) b)) a) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))))) a) (*.f64 #s(literal 1/2 binary64) b)) a) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
#s(approx (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (/.f64 c (*.f64 a (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))))))
#s(approx (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a))) a) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))))))
#s(approx (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))) (/.f64 c (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) a))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) a) (*.f64 b (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 b (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) a) (*.f64 b (-.f64 (*.f64 b (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 a (pow.f64 c #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) c))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (/ (- (sqrt (pow b 2)) b) a) #s(literal 0 binary64))
#s(approx (sqrt (pow b 2)) b)
#s(approx (pow b 2) (pow.f64 b #s(literal 2 binary64)))
#s(approx (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 a c) (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (/ (* a c) (pow (sqrt (pow b 2)) 3)) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 3 binary64))))
#s(approx (pow (sqrt (pow b 2)) 3) (pow.f64 b #s(literal 3 binary64)))
#s(approx (/ 1 (sqrt (pow b 2))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) a) (*.f64 b (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 b (*.f64 a (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) a) (*.f64 b (-.f64 (*.f64 b (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (neg b) (*.f64 #s(literal -1 binary64) b))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (/.f64 c b)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal -1 binary64) c (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64))))) b))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) c (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64)))))) b))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) c (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))))))) b))
#s(approx (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))) (/.f64 #s(literal -1 binary64) b))
#s(approx (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64)) b))
#s(approx (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
#s(approx (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) b)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 c (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 c (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 c (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) a)))))))
#s(approx (/ (- (sqrt (pow b 2)) b) a) (*.f64 #s(literal -2 binary64) (/.f64 b a)))
#s(approx (- (sqrt (pow b 2)) b) (*.f64 #s(literal -2 binary64) b))
#s(approx (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2))))) (/.f64 c b))
#s(approx (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) c (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64))))) b)))
#s(approx (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64)) b)))
#s(approx (pow (sqrt (pow b 2)) 3) (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))) (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) b) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a) (*.f64 c (-.f64 (*.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2))))) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))))
#s(approx c c)
#s(approx (* c -4) (*.f64 #s(literal -4 binary64) c))
#s(approx (sqrt (/ -4 (* a c))) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) c))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))) a)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a)))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a)))))))
#s(approx (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))) (*.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))) (*.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) (*.f64 a (pow.f64 c #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (* 1/2 (sqrt (/ (* c -4) a))) (*.f64 #s(literal 1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))))))
#s(approx (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 a c)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (*.f64 c (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))))) c) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (*.f64 c (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))))) c) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a))))))
#s(approx (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))) (*.f64 (pow.f64 c #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) (*.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))) c)))))
#s(approx (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))) (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))) (/.f64 a (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))))))
#s(approx (sqrt (/ (* c -4) a)) (*.f64 #s(literal -1 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))))))
#s(approx (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))) (*.f64 #s(literal -1 binary64) (*.f64 c (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 a c)))))))
Calls

9 calls:

TimeVariablePointExpression
33.0ms
a
@-inf
((/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))) 1/2 (/ (- (sqrt (pow b 2)) b) a) (- (sqrt (pow b 2)) b) (sqrt (pow b 2)) (pow b 2) b 2 a (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2))))) c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))) (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) -1 (/ (* a c) (pow (sqrt (pow b 2)) 3)) (* a c) (pow (sqrt (pow b 2)) 3) 3 (/ 1 (sqrt (pow b 2))) 1 (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* 1/2 (sqrt (/ (* c -4) a))) (sqrt (/ (* c -4) a)) (/ (* c -4) a) (* c -4) -4 (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* 1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (* c (sqrt (/ -4 (* a c))))) -1/2 (* c (sqrt (/ -4 (* a c)))) (sqrt (/ -4 (* a c))) (/ -4 (* a c)) (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))) (/ b a) (* 1/2 (sqrt (* -4 (/ c a)))) (sqrt (* -4 (/ c a))) (* -4 (/ c a)) (/ c a))
31.0ms
c
@0
((/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))) 1/2 (/ (- (sqrt (pow b 2)) b) a) (- (sqrt (pow b 2)) b) (sqrt (pow b 2)) (pow b 2) b 2 a (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2))))) c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))) (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) -1 (/ (* a c) (pow (sqrt (pow b 2)) 3)) (* a c) (pow (sqrt (pow b 2)) 3) 3 (/ 1 (sqrt (pow b 2))) 1 (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* 1/2 (sqrt (/ (* c -4) a))) (sqrt (/ (* c -4) a)) (/ (* c -4) a) (* c -4) -4 (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* 1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (* c (sqrt (/ -4 (* a c))))) -1/2 (* c (sqrt (/ -4 (* a c)))) (sqrt (/ -4 (* a c))) (/ -4 (* a c)) (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))) (/ b a) (* 1/2 (sqrt (* -4 (/ c a)))) (sqrt (* -4 (/ c a))) (* -4 (/ c a)) (/ c a))
7.0ms
b
@0
((/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))) 1/2 (/ (- (sqrt (pow b 2)) b) a) (- (sqrt (pow b 2)) b) (sqrt (pow b 2)) (pow b 2) b 2 a (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2))))) c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))) (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) -1 (/ (* a c) (pow (sqrt (pow b 2)) 3)) (* a c) (pow (sqrt (pow b 2)) 3) 3 (/ 1 (sqrt (pow b 2))) 1 (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* 1/2 (sqrt (/ (* c -4) a))) (sqrt (/ (* c -4) a)) (/ (* c -4) a) (* c -4) -4 (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* 1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (* c (sqrt (/ -4 (* a c))))) -1/2 (* c (sqrt (/ -4 (* a c)))) (sqrt (/ -4 (* a c))) (/ -4 (* a c)) (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))) (/ b a) (* 1/2 (sqrt (* -4 (/ c a)))) (sqrt (* -4 (/ c a))) (* -4 (/ c a)) (/ c a))
7.0ms
b
@inf
((/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))) 1/2 (/ (- (sqrt (pow b 2)) b) a) (- (sqrt (pow b 2)) b) (sqrt (pow b 2)) (pow b 2) b 2 a (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2))))) c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))) (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) -1 (/ (* a c) (pow (sqrt (pow b 2)) 3)) (* a c) (pow (sqrt (pow b 2)) 3) 3 (/ 1 (sqrt (pow b 2))) 1 (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* 1/2 (sqrt (/ (* c -4) a))) (sqrt (/ (* c -4) a)) (/ (* c -4) a) (* c -4) -4 (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* 1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (* c (sqrt (/ -4 (* a c))))) -1/2 (* c (sqrt (/ -4 (* a c)))) (sqrt (/ -4 (* a c))) (/ -4 (* a c)) (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))) (/ b a) (* 1/2 (sqrt (* -4 (/ c a)))) (sqrt (* -4 (/ c a))) (* -4 (/ c a)) (/ c a))
5.0ms
c
@-inf
((/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))))) 1/2 (/ (- (sqrt (pow b 2)) b) a) (- (sqrt (pow b 2)) b) (sqrt (pow b 2)) (pow b 2) b 2 a (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2))))) c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2)))) (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) -1 (/ (* a c) (pow (sqrt (pow b 2)) 3)) (* a c) (pow (sqrt (pow b 2)) 3) 3 (/ 1 (sqrt (pow b 2))) 1 (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* 1/2 (sqrt (/ (* c -4) a))) (sqrt (/ (* c -4) a)) (/ (* c -4) a) (* c -4) -4 (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* 1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (* c (sqrt (/ -4 (* a c))))) -1/2 (* c (sqrt (/ -4 (* a c)))) (sqrt (/ -4 (* a c))) (/ -4 (* a c)) (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))) (/ b a) (* 1/2 (sqrt (* -4 (/ c a)))) (sqrt (* -4 (/ c a))) (* -4 (/ c a)) (/ c a))

rewrite207.0ms (5.1%)

Memory
25.3MiB live, 248.4MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065416
095396
1425312
23297312
08236299
128950299
Stop Event
saturated
node-limit
iter-limit
Counts
44 → 548
Calls
Call 1
Inputs
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a)
(-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b)
(sqrt.f64 (pow.f64 b #s(literal 2 binary64)))
(pow.f64 b #s(literal 2 binary64))
b
#s(literal 2 binary64)
a
(*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))
c
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))
#s(literal -1 binary64)
(/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 a c)
(pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a)))
(sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a))
(/.f64 (*.f64 c #s(literal -4 binary64)) a)
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))))))
#s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))))
#s(literal -1/2 binary64)
(*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))))
(sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))
(/.f64 #s(literal -4 binary64) (*.f64 a c))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
(/.f64 b a)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))
(sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))
(*.f64 #s(literal -4 binary64) (/.f64 c a))
(/.f64 c a)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)))) (neg.f64 a))
(/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) a)
(/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) (neg.f64 a))
(/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) a)
(neg.f64 (fma.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 c) (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 c)) (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b))))
(fma.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c))
(fma.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) (neg.f64 c) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 b) b)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 c)) (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b))))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 b) b)) #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c))
(fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 c)) (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b))))
(fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 b) b)) (*.f64 (neg.f64 (neg.f64 c)) (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 b) b)) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 b) b) (*.f64 (neg.f64 (neg.f64 c)) (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 b) b) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c))
(fma.f64 c (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c))
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 b) b))))
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 c)) (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b))))
(+.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c))
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 b) b)))
(*.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 b) b))
(*.f64 (-.f64 (fabs.f64 b) b) (/.f64 #s(literal -1 binary64) a))
(*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fabs.f64 b) #s(literal 1 binary64)) (neg.f64 a)) (neg.f64 b))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fabs.f64 b) #s(literal 1 binary64)) a) b)) (neg.f64 a))
(/.f64 (neg.f64 (-.f64 (*.f64 (fabs.f64 b) (neg.f64 a)) (*.f64 a (neg.f64 b)))) (neg.f64 (*.f64 a (neg.f64 a))))
(/.f64 (neg.f64 (-.f64 (*.f64 (fabs.f64 b) a) (*.f64 a b))) (neg.f64 (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (*.f64 (fabs.f64 b) #s(literal 1 binary64)) (neg.f64 a)) (neg.f64 b)) (neg.f64 a))
(/.f64 (-.f64 (*.f64 (*.f64 (fabs.f64 b) #s(literal 1 binary64)) a) b) a)
(/.f64 (-.f64 (*.f64 (fabs.f64 b) (neg.f64 a)) (*.f64 a (neg.f64 b))) (*.f64 a (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (fabs.f64 b) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 b) b)) (neg.f64 a))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 b) b)) a)
(/.f64 (-.f64 (fabs.f64 b) b) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (-.f64 (fabs.f64 b) b) (neg.f64 (neg.f64 a)))
(/.f64 (-.f64 (fabs.f64 b) b) (neg.f64 a))
(/.f64 (-.f64 (fabs.f64 b) b) a)
(neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 (fabs.f64 b) #s(literal 1 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 b) b)))
(fma.f64 (fabs.f64 b) #s(literal 1 binary64) (*.f64 b #s(literal -1 binary64)))
(-.f64 (*.f64 (fabs.f64 b) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) b))
(+.f64 (*.f64 (fabs.f64 b) #s(literal 1 binary64)) (*.f64 b #s(literal -1 binary64)))
(neg.f64 (-.f64 (fabs.f64 b) b))
(-.f64 (fabs.f64 b) b)
(-.f64 b (fabs.f64 b))
(+.f64 (neg.f64 (fabs.f64 b)) b)
(+.f64 (neg.f64 b) (fabs.f64 b))
(+.f64 (fabs.f64 b) (neg.f64 b))
(+.f64 b (neg.f64 (fabs.f64 b)))
(pow.f64 (*.f64 (*.f64 (*.f64 b b) b) b) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 b) #s(literal 1 binary64))
(pow.f64 (*.f64 b b) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 b b))
(fabs.f64 (neg.f64 (neg.f64 (fabs.f64 b))))
(fabs.f64 (neg.f64 (fabs.f64 b)))
(fabs.f64 (neg.f64 b))
(fabs.f64 (fabs.f64 b))
(fabs.f64 b)
(*.f64 (neg.f64 (neg.f64 (fabs.f64 b))) (neg.f64 (neg.f64 (fabs.f64 b))))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 b)) (*.f64 (*.f64 b b) b))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 b b)
(pow.f64 (*.f64 (*.f64 (*.f64 b b) b) b) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 b) b))
(sqrt.f64 (*.f64 (*.f64 (*.f64 b b) b) b))
(fabs.f64 (*.f64 (neg.f64 b) (neg.f64 (fabs.f64 b))))
(fabs.f64 (*.f64 b (neg.f64 (fabs.f64 b))))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 b)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 b)) b))
(fabs.f64 (*.f64 (neg.f64 b) (fabs.f64 b)))
(fabs.f64 (*.f64 (fabs.f64 b) (neg.f64 b)))
(fabs.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 (fabs.f64 b) b))
(fabs.f64 (*.f64 b b))
(+.f64 (/.f64 (fma.f64 b b (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal 2 binary64)))
b
#s(literal 2 binary64)
a
(*.f64 (neg.f64 c) (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) (neg.f64 c))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c)
(*.f64 c (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)))
(/.f64 (neg.f64 (*.f64 c (fma.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) a) (fabs.f64 b) #s(literal -1 binary64)))) (neg.f64 (fabs.f64 b)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) a) (fabs.f64 b) #s(literal -1 binary64)) c)) (neg.f64 (fabs.f64 b)))
(/.f64 (neg.f64 (*.f64 (neg.f64 c) (fma.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) a) (fabs.f64 b) #s(literal -1 binary64)))) (neg.f64 (fabs.f64 b)))
(/.f64 (*.f64 c (fma.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) a) (fabs.f64 b) #s(literal -1 binary64))) (fabs.f64 b))
(/.f64 (*.f64 (neg.f64 c) (fma.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) a) (fabs.f64 b) #s(literal -1 binary64))) (fabs.f64 b))
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(fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) b) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) b (neg.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) b (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (*.f64 #s(literal -1/2 binary64) b))
(fma.f64 b #s(literal -1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal -1/2 binary64))))
(fma.f64 b #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 b #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) b)))
(-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 #s(literal -1/2 binary64) b)))
(+.f64 (*.f64 #s(literal -1/2 binary64) b) (neg.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) b))
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) b))
(*.f64 #s(literal 1 binary64) b)
(*.f64 b #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) b) a)
(/.f64 (*.f64 b #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (neg.f64 b) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 b (neg.f64 (neg.f64 a)))
(/.f64 b a)
(neg.f64 (*.f64 b #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 c #s(literal -4 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 c #s(literal -4 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal -1/2 binary64)))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 c #s(literal -4 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64)))))
(fabs.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64)))) (neg.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64)))))
(*.f64 (*.f64 #s(literal 4 binary64) c) (/.f64 #s(literal -1 binary64) a))
(*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 (*.f64 c #s(literal -4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) c) #s(literal -4 binary64))
(*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 c #s(literal -4 binary64)))
(*.f64 c #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 #s(literal 1 binary64) c))
(*.f64 #s(literal -4 binary64) c)
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) c) (*.f64 #s(literal 4 binary64) c)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1 binary64) c)) (neg.f64 a))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) c) #s(literal 4 binary64)) (neg.f64 a))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) c) a) (neg.f64 a))
(/.f64 (*.f64 #s(literal 4 binary64) c) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (*.f64 #s(literal 4 binary64) c) (neg.f64 a))
(/.f64 (*.f64 c #s(literal -4 binary64)) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 c #s(literal -4 binary64)) a)
(neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1 binary64) c)))
(neg.f64 (*.f64 (*.f64 #s(literal 1 binary64) c) #s(literal 4 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) c) a))
(neg.f64 (*.f64 #s(literal 4 binary64) c))
(sqrt.f64 (*.f64 (*.f64 #s(literal 4 binary64) c) (*.f64 #s(literal 4 binary64) c)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64)))) (sqrt.f64 (*.f64 c #s(literal -4 binary64)))))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (neg.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))))))
(fabs.f64 (*.f64 c #s(literal -4 binary64)))
(*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) c))
(*.f64 #s(literal 1 binary64) c)
(*.f64 c #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) c)) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 c) (neg.f64 a))
(/.f64 (*.f64 #s(literal 1 binary64) c) a)
(/.f64 c a)
(neg.f64 (/.f64 c (neg.f64 a)))
(neg.f64 (/.f64 (neg.f64 c) a))

eval77.0ms (1.9%)

Memory
17.2MiB live, 153.3MiB allocated; 42ms collecting garbage
Compiler

Compiled 6 307 to 2 813 computations (55.4% saved)

prune22.0ms (0.5%)

Memory
15.3MiB live, 60.8MiB allocated; 4ms collecting garbage
Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New5228530
Fresh369
Picked145
Done022
Total52620546
Accuracy
99.9%
Counts
546 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.6%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (+.f64 a a))
34.6%
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (+.f64 a a))
21.7%
(/.f64 #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 b c))))) (+.f64 a a))
32.0%
(/.f64 #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (+.f64 a a))
55.5%
(*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a))
31.0%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(approx (sqrt (pow b 2)) b) b) a) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 #s(approx (sqrt (pow b 2)) b) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow b 2)) b))))))
17.3%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
13.3%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (-.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c)))
12.1%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))) a)))
20.2%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
34.8%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (/.f64 c b)))
31.9%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) #s(approx (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))) (*.f64 #s(literal -1 binary64) (*.f64 c (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 a c))))))))
34.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
2.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)))
34.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
3.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b #s(literal -1 binary64)))
16.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a))))
29.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) c) a))))))
29.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))))))
5.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (fabs.f64 (/.f64 #s(literal -4 binary64) c)))))))
Compiler

Compiled 756 to 740 computations (2.1% saved)

series62.0ms (1.5%)

Memory
-8.2MiB live, 133.6MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06053690
Stop Event
iter-limit
Counts
33 → 116
Calls
Call 1
Inputs
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (/.f64 c b)))
(*.f64 #s(literal -1 binary64) (/.f64 c b))
#s(literal -1 binary64)
(/.f64 c b)
c
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b #s(literal -1 binary64)))
(*.f64 b #s(literal -1 binary64))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))
#s(literal -1/2 binary64)
(sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))
(*.f64 #s(literal -4 binary64) (/.f64 c a))
#s(literal -4 binary64)
(/.f64 c a)
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) c) a))))))
#s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) c) a)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) c) a))))
(*.f64 c (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) c) a)))
(sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) c) a))
(/.f64 (/.f64 #s(literal -4 binary64) c) a)
(/.f64 #s(literal -4 binary64) c)
(/.f64 #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 b c))))) (+.f64 a a))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 b c)))))
(*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 b c))))
(+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 b c)))
(sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))
(*.f64 #s(literal -4 binary64) (/.f64 a c))
(/.f64 a c)
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(/.f64 b c)
(+.f64 a a)
Outputs
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b))) a))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))) a))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))))) a))
#s(approx (* -1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) a)))
#s(approx (sqrt (* -4 (/ c a))) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) a))
#s(approx (* -4 (/ c a)) (*.f64 #s(literal -4 binary64) (/.f64 c a)))
#s(approx (/ c a) (/.f64 c a))
#s(approx a a)
#s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) a)))
#s(approx (* -1/2 (* c (sqrt (/ (/ -4 c) a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))) a)))
#s(approx (* c (sqrt (/ (/ -4 c) a))) (/.f64 (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))) a))
#s(approx (sqrt (/ (/ -4 c) a)) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a))
#s(approx (/ (/ -4 c) a) (/.f64 #s(literal -4 binary64) (*.f64 a c)))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (-.f64 (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))))) b))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (-.f64 (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))) b))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (-.f64 (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 a (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))))) b))
#s(approx (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 b c)))))
#s(approx (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c))) (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 b c))))
#s(approx (sqrt (* -4 (/ a c))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))
#s(approx (* -4 (/ a c)) (*.f64 #s(literal -4 binary64) (/.f64 a c)))
#s(approx (/ a c) (/.f64 a c))
#s(approx (+ a a) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))))
#s(approx (* -1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (sqrt (* -4 (/ c a))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))
#s(approx (* -1/2 (* c (sqrt (/ (/ -4 c) a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))))))
#s(approx (* c (sqrt (/ (/ -4 c) a))) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))))
#s(approx (sqrt (/ (/ -4 c) a)) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal -1 binary64) (/.f64 b a)))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 a (-.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))) (/.f64 b a))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 a (-.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))))) (/.f64 b a))))
#s(approx (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))) (*.f64 a (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))))))
#s(approx (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))) (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 b a) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))))))
#s(approx (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c))) (*.f64 a (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))))
#s(approx (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c))) (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a c))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))) (*.f64 #s(literal 1/2 binary64) b)) a) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))))) a) (*.f64 #s(literal 1/2 binary64) b)) a) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (/.f64 b a)))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))) b) a))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))) a)) b) a))))))
#s(approx (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))) (*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))))))
#s(approx (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))) (/.f64 b a)))))
#s(approx (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c))) (*.f64 #s(literal -1 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))))))
#s(approx (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c))) (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))) (/.f64 b (*.f64 a c))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) a))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) a) (*.f64 b (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 b (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) a) (*.f64 b (-.f64 (*.f64 b (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (* -1 (/ c b)) (*.f64 #s(literal -1 binary64) (/.f64 c b)))
#s(approx (/ c b) (/.f64 c b))
#s(approx b b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) a) (*.f64 b (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 b (*.f64 a (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) a) (*.f64 b (-.f64 (*.f64 b (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (* b -1) (*.f64 #s(literal -1 binary64) b))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 #s(literal -1 binary64) b)))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal 1 binary64)))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (-.f64 (*.f64 b (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) #s(literal 1 binary64)))))
#s(approx (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))) (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))
#s(approx (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))) (fma.f64 #s(literal -1 binary64) b (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))))
#s(approx (* -1 (/ b c)) (*.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ b c) (/.f64 b c))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal -1 binary64) c (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64))))) b))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) c (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64)))))) b))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) c (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))))))) b))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a c) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64))))) b))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 a c) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64)))))) b))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 a c) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) (pow.f64 b #s(literal 6 binary64))))))) b))
#s(approx (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))) (*.f64 b (-.f64 (/.f64 (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))) b) #s(literal 1 binary64))))
#s(approx (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c))) (*.f64 b (-.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) b) (/.f64 #s(literal 1 binary64) c))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (/.f64 b a)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 c (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 c (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 c (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) a)))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -2 binary64) b))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))))))
#s(approx (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))) (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))) b))))))
#s(approx (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c))) (*.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) b) (/.f64 #s(literal 1 binary64) c)))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1 binary64) (/.f64 c (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a) (*.f64 c (-.f64 (*.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))))
#s(approx c c)
#s(approx (sqrt (/ (/ -4 c) a)) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) c))
#s(approx (/ -4 c) (/.f64 #s(literal -4 binary64) c))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (-.f64 (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))) b))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (-.f64 (+.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 a (sqrt.f64 (pow.f64 b #s(literal 2 binary64)))) (*.f64 c (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64))))))))) b))
#s(approx (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c))) (/.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 #s(literal -1 binary64) b)) c))
#s(approx (sqrt (* -4 (/ a c))) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) c))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))) a)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a)))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a)))))))
#s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal 1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 c (-.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))))) (/.f64 b c))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 c (-.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))))) (/.f64 b c))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 a c)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (*.f64 c (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))))) c) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (*.f64 c (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 a (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))))) c) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a))))))
#s(approx (sqrt (* -4 (/ c a))) (*.f64 #s(literal -1 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (/.f64 b c)))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))) b) c))))))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))))) c)) b) c))))))
#s(approx (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))) (*.f64 #s(literal -1 binary64) (*.f64 c (fma.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (/.f64 b c)))))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
c
@0
((/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (* -1 (/ c b)) -1 (/ c b) c b (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* b -1) (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (* -1/2 (sqrt (* -4 (/ c a)))) -1/2 (sqrt (* -4 (/ c a))) (* -4 (/ c a)) -4 (/ c a) a (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* 1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (* c (sqrt (/ (/ -4 c) a)))) (* c (sqrt (/ (/ -4 c) a))) (sqrt (/ (/ -4 c) a)) (/ (/ -4 c) a) (/ -4 c) (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))) (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c))) (sqrt (* -4 (/ a c))) (* -4 (/ a c)) (/ a c) (* -1 (/ b c)) (/ b c) (+ a a))
6.0ms
a
@inf
((/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (* -1 (/ c b)) -1 (/ c b) c b (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* b -1) (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (* -1/2 (sqrt (* -4 (/ c a)))) -1/2 (sqrt (* -4 (/ c a))) (* -4 (/ c a)) -4 (/ c a) a (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* 1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (* c (sqrt (/ (/ -4 c) a)))) (* c (sqrt (/ (/ -4 c) a))) (sqrt (/ (/ -4 c) a)) (/ (/ -4 c) a) (/ -4 c) (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))) (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c))) (sqrt (* -4 (/ a c))) (* -4 (/ a c)) (/ a c) (* -1 (/ b c)) (/ b c) (+ a a))
4.0ms
c
@-inf
((/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (* -1 (/ c b)) -1 (/ c b) c b (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* b -1) (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (* -1/2 (sqrt (* -4 (/ c a)))) -1/2 (sqrt (* -4 (/ c a))) (* -4 (/ c a)) -4 (/ c a) a (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* 1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (* c (sqrt (/ (/ -4 c) a)))) (* c (sqrt (/ (/ -4 c) a))) (sqrt (/ (/ -4 c) a)) (/ (/ -4 c) a) (/ -4 c) (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))) (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c))) (sqrt (* -4 (/ a c))) (* -4 (/ a c)) (/ a c) (* -1 (/ b c)) (/ b c) (+ a a))
4.0ms
c
@inf
((/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (* -1 (/ c b)) -1 (/ c b) c b (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* b -1) (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (* -1/2 (sqrt (* -4 (/ c a)))) -1/2 (sqrt (* -4 (/ c a))) (* -4 (/ c a)) -4 (/ c a) a (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* 1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (* c (sqrt (/ (/ -4 c) a)))) (* c (sqrt (/ (/ -4 c) a))) (sqrt (/ (/ -4 c) a)) (/ (/ -4 c) a) (/ -4 c) (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))) (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c))) (sqrt (* -4 (/ a c))) (* -4 (/ a c)) (/ a c) (* -1 (/ b c)) (/ b c) (+ a a))
4.0ms
a
@-inf
((/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (* -1 (/ c b)) -1 (/ c b) c b (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* b -1) (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (* -1/2 (sqrt (* -4 (/ c a)))) -1/2 (sqrt (* -4 (/ c a))) (* -4 (/ c a)) -4 (/ c a) a (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* 1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (* c (sqrt (/ (/ -4 c) a)))) (* c (sqrt (/ (/ -4 c) a))) (sqrt (/ (/ -4 c) a)) (/ (/ -4 c) a) (/ -4 c) (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))) (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c))) (sqrt (* -4 (/ a c))) (* -4 (/ a c)) (/ a c) (* -1 (/ b c)) (/ b c) (+ a a))

rewrite274.0ms (6.7%)

Memory
13.7MiB live, 277.1MiB allocated; 113ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056304
077291
1321273
22147241
08940235
133685235
Stop Event
saturated
node-limit
iter-limit
Counts
33 → 567
Calls
Call 1
Inputs
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (/.f64 c b)))
(*.f64 #s(literal -1 binary64) (/.f64 c b))
#s(literal -1 binary64)
(/.f64 c b)
c
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b #s(literal -1 binary64)))
(*.f64 b #s(literal -1 binary64))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))
#s(literal -1/2 binary64)
(sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))
(*.f64 #s(literal -4 binary64) (/.f64 c a))
#s(literal -4 binary64)
(/.f64 c a)
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) c) a))))))
#s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) c) a)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) c) a))))
(*.f64 c (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) c) a)))
(sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) c) a))
(/.f64 (/.f64 #s(literal -4 binary64) c) a)
(/.f64 #s(literal -4 binary64) c)
(/.f64 #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 b c))))) (+.f64 a a))
#s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 b c)))))
(*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 b c))))
(+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 b c)))
(sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))
(*.f64 #s(literal -4 binary64) (/.f64 a c))
(/.f64 a c)
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(/.f64 b c)
(+.f64 a a)
Outputs
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b))
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (neg.f64 c) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) b))
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (neg.f64 c) b) #s(literal 1 binary64))
(*.f64 (/.f64 c b) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c b))
(*.f64 c (neg.f64 (/.f64 #s(literal 1 binary64) b)))
(*.f64 c (/.f64 #s(literal -1 binary64) b))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 c))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal -1 binary64))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 b)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 c)) (neg.f64 b))
(/.f64 (*.f64 (neg.f64 c) #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 b))
(/.f64 (neg.f64 c) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 c) b)
(/.f64 c (neg.f64 b))
(neg.f64 (/.f64 c b))
#s(literal -1 binary64)
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 c #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(*.f64 #s(literal 1 binary64) (/.f64 c b))
(*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 c b) #s(literal 1 binary64))
(*.f64 c (/.f64 #s(literal 1 binary64) b))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) c)) (*.f64 #s(literal 2 binary64) b))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 c))) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 b))))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 c)) (*.f64 #s(literal 2 binary64) (neg.f64 b)))
(/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 #s(literal 2 binary64) b))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) c)) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 c) (neg.f64 b))
(/.f64 (*.f64 #s(literal 1 binary64) c) b)
(/.f64 c b)
(neg.f64 (/.f64 (neg.f64 c) b))
c
b
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (neg.f64 b))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 c #s(literal -4 binary64))))
#s(literal -1/2 binary64)
(pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 c #s(literal -4 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64)))))
(fabs.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64)))) (neg.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64)))))
(*.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 (*.f64 c #s(literal -4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) c) #s(literal -4 binary64))
(*.f64 c #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 #s(literal 1 binary64) c))
(*.f64 #s(literal -4 binary64) c)
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) c) (*.f64 #s(literal 4 binary64) c)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 c))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal -4 binary64))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 (*.f64 c #s(literal -4 binary64)))) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 c)) (neg.f64 a))
(/.f64 (*.f64 (neg.f64 c) #s(literal -4 binary64)) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 c #s(literal -4 binary64))) (neg.f64 a))
(/.f64 (*.f64 c #s(literal -4 binary64)) a)
(neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1 binary64) c)))
(neg.f64 (*.f64 #s(literal 4 binary64) c))
(neg.f64 (*.f64 (*.f64 #s(literal 1 binary64) c) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 (*.f64 #s(literal 4 binary64) c) (*.f64 #s(literal 4 binary64) c)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64)))) (sqrt.f64 (*.f64 c #s(literal -4 binary64)))))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (neg.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))))))
(fabs.f64 (*.f64 c #s(literal -4 binary64)))
#s(literal -4 binary64)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) c))
(*.f64 #s(literal 1 binary64) c)
(*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) a))
(*.f64 c #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) c)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 c))) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 a))))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 c)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) c)) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 c) (neg.f64 a))
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(*.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (neg.f64 b) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))
(*.f64 (/.f64 (neg.f64 b) c) #s(literal 1 binary64))
(*.f64 (/.f64 b c) #s(literal -1 binary64))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) c))
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) c)))
(*.f64 b (/.f64 #s(literal -1 binary64) c))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b))) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64))) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 c)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b)) (neg.f64 c))
(/.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) (neg.f64 c))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (neg.f64 c))))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 c))
(/.f64 (neg.f64 b) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 b) c)
(/.f64 b (neg.f64 c))
(neg.f64 (/.f64 b c))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c))
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 b #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (neg.f64 b) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
(*.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 (/.f64 (neg.f64 b) c) #s(literal -1 binary64))
(*.f64 (/.f64 b c) #s(literal 1 binary64))
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) c))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) c))
(*.f64 b (/.f64 #s(literal 1 binary64) c))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 b #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) c))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 b))) (*.f64 #s(literal 2 binary64) (neg.f64 c)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) b)) (*.f64 #s(literal 2 binary64) c))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 b))) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 c))))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 b))) (*.f64 #s(literal 2 binary64) c))
(/.f64 (*.f64 (*.f64 b #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 c #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) #s(literal 2 binary64)) (*.f64 (neg.f64 c) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) b) #s(literal 2 binary64)) (*.f64 c #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 c)) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64)) (*.f64 c #s(literal 2 binary64)))
(/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)) (*.f64 #s(literal 2 binary64) (neg.f64 c)))
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (neg.f64 c))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b))) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) b)) (neg.f64 c))
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 c))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 c))
(/.f64 (*.f64 b #s(literal 1 binary64)) c)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (neg.f64 c))
(/.f64 (*.f64 #s(literal 1 binary64) b) c)
(/.f64 (*.f64 (neg.f64 b) #s(literal 2 binary64)) (*.f64 (neg.f64 c) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 #s(literal 2 binary64) c))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 (neg.f64 b)) c)
(/.f64 (neg.f64 b) (neg.f64 c))
(/.f64 b c)
(neg.f64 (/.f64 (neg.f64 b) c))
#s(literal 2 binary64)

eval73.0ms (1.8%)

Memory
-2.0MiB live, 102.0MiB allocated; 47ms collecting garbage
Compiler

Compiled 5 230 to 2 665 computations (49% saved)

prune26.0ms (0.6%)

Memory
6.3MiB live, 52.0MiB allocated; 5ms collecting garbage
Pruning

21 alts after pruning (13 fresh and 8 done)

PrunedKeptTotal
New4795484
Fresh189
Picked325
Done066
Total48321504
Accuracy
99.9%
Counts
504 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.6%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (+.f64 a a))
34.6%
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (+.f64 a a))
32.0%
(/.f64 #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (+.f64 a a))
21.9%
(/.f64 #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) #s(approx (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))) (fma.f64 #s(literal -1 binary64) b (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))))) (+.f64 a a))
55.5%
(*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a))
31.0%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(approx (sqrt (pow b 2)) b) b) a) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 #s(approx (sqrt (pow b 2)) b) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow b 2)) b))))))
17.3%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
34.8%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b))
13.3%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (-.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c)))
34.7%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
12.1%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))) a)))
20.2%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
3.9%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fabs.f64 (*.f64 c #s(literal -4 binary64))))))
3.4%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (neg.f64 b))
31.9%
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) #s(approx (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))) (*.f64 #s(literal -1 binary64) (*.f64 c (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 a c))))))))
34.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
2.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)))
34.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
16.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a))))
29.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) c) a))))))
29.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))))))
Compiler

Compiled 983 to 661 computations (32.8% saved)

regimes62.0ms (1.5%)

Memory
-8.3MiB live, 84.7MiB allocated; 24ms collecting garbage
Counts
43 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (neg.f64 b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b #s(literal -1 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (/.f64 c b)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fabs.f64 (*.f64 c #s(literal -4 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (fabs.f64 (/.f64 #s(literal -4 binary64) c)))))))
(/.f64 #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) c) a))))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))) a)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))) a)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 c #s(approx (sqrt (* -4 (/ a c))) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (+.f64 a a))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) #s(approx (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c)))) (fma.f64 #s(literal -1 binary64) b (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))))) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 b c))))) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 c (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) (*.f64 #s(literal -1 binary64) (/.f64 b c))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) #s(approx (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a))))) (*.f64 #s(literal -1 binary64) (*.f64 c (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 a c))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a)))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))) a)))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (-.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 c) a)) (*.f64 (*.f64 b b) b)) c)))
(/.f64 (fma.f64 (neg.f64 b) (+.f64 a a) (*.f64 (+.f64 a a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 (+.f64 a a) (+.f64 a a)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(approx (sqrt (pow b 2)) b) b) a) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 #s(approx (sqrt (pow b 2)) b) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (pow b 2)) b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) b) a) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 b #s(literal 2 binary64))))))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (+.f64 a a))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b))
Calls

4 calls:

24.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
15.0ms
b
10.0ms
a
10.0ms
c
Results
AccuracySegmentsBranch
77.1%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
58.7%2a
86.1%3b
55.6%1c
Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes9.0ms (0.2%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (neg.f64 b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b #s(literal -1 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (/.f64 c b)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fabs.f64 (*.f64 c #s(literal -4 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (fabs.f64 (/.f64 #s(literal -4 binary64) c)))))))
(/.f64 #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) c) a))))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))) a)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c)))) a)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 c (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 c #s(approx (sqrt (* -4 (/ a c))) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) c)))) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (+.f64 a a))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
80.8%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.2%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (neg.f64 b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b #s(literal -1 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (/.f64 c b)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fabs.f64 (*.f64 c #s(literal -4 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (fabs.f64 (/.f64 #s(literal -4 binary64) c)))))))
(/.f64 #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 a c)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) c) a))))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 #s(approx (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (+.f64 a a))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
80.1%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes14.0ms (0.3%)

Memory
-24.7MiB live, 20.4MiB allocated; 6ms collecting garbage
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (neg.f64 b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b #s(literal -1 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (/.f64 c b)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fabs.f64 (*.f64 c #s(literal -4 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (* 1/2 (sqrt (* -4 (/ c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 c (sqrt.f64 (fabs.f64 (/.f64 #s(literal -4 binary64) c)))))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b))
Calls

2 calls:

9.0ms
b
4.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
61.4%6(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
72.4%3b
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes4.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (neg.f64 b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b #s(literal -1 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 #s(literal -1 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1 binary64) (/.f64 c b)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (fabs.f64 (*.f64 c #s(literal -4 binary64))))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
67.0%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.2%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (neg.f64 b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b #s(literal -1 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
Calls

4 calls:

1.0ms
b
1.0ms
c
1.0ms
a
1.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
34.6%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
34.6%1c
34.6%1a
34.6%1b
Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes9.0ms (0.2%)

Memory
-32.2MiB live, 13.3MiB allocated; 4ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (neg.f64 b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b #s(literal -1 binary64)))
Outputs
#s(approx (/ (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ a a)) (neg.f64 b))
Calls

4 calls:

5.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
1.0ms
b
1.0ms
c
1.0ms
a
Results
AccuracySegmentsBranch
3.4%1b
3.4%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
3.4%1a
3.4%1c
Compiler

Compiled 17 to 23 computations (-35.3% saved)

bsearch35.0ms (0.8%)

Memory
8.3MiB live, 53.0MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
21.0ms
1.8880216449773976e-34
1.1672153557606756e-32
9.0ms
-1.0967262323165852e+157
-2.1327527985667677e+153
Samples
9.0ms151×0valid
9.0ms24×2valid
4.0ms32×1valid
1.0ms11×0invalid
0.0ms3valid
Compiler

Compiled 370 to 396 computations (-7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
adjust: 6.0ms (35.5% of total)
ival-mult!: 4.0ms (23.6% of total)
ival-sqrt: 2.0ms (11.8% of total)
ival-sub!: 1.0ms (5.9% of total)
ival-add!: 1.0ms (5.9% of total)
ival-neg: 1.0ms (5.9% of total)
ival-div!: 1.0ms (5.9% of total)

bsearch15.0ms (0.4%)

Memory
26.5MiB live, 26.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.8880216449773976e-34
1.1672153557606756e-32
12.0ms
-8.959781215249208e-49
-2.7774155002898613e-50
Samples
7.0ms112×0valid
1.0ms16×0invalid
Compiler

Compiled 468 to 496 computations (-6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult!: 2.0ms (41.1% of total)
ival-sqrt: 1.0ms (20.6% of total)
ival-neg: 1.0ms (20.6% of total)
ival-div!: 1.0ms (20.6% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch32.0ms (0.8%)

Memory
-12.2MiB live, 33.7MiB allocated; 17ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.8880216449773976e-34
1.1672153557606756e-32
29.0ms
-1.832163516995133e-52
-8.979069268954646e-61
Samples
9.0ms144×0valid
1.0ms20×0invalid
Compiler

Compiled 550 to 582 computations (-5.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult!: 3.0ms (47.8% of total)
ival-sqrt: 1.0ms (15.9% of total)
ival-neg: 1.0ms (15.9% of total)
ival-div!: 1.0ms (15.9% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch44.0ms (1.1%)

Memory
23.6MiB live, 68.2MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
3.925999130352004e-133
6.715241455181408e-115
10.0ms
-6.418149065230907e-146
-3.1898126345839907e-146
Samples
12.0ms196×0valid
5.0ms73×0invalid
4.0ms32×1valid
2.0ms12×2valid
Compiler

Compiled 570 to 600 computations (-5.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult!: 6.0ms (40.5% of total)
ival-sqrt: 3.0ms (20.2% of total)
ival-div!: 2.0ms (13.5% of total)
ival-neg: 2.0ms (13.5% of total)
adjust: 1.0ms (6.7% of total)
ival-sub!: 1.0ms (6.7% of total)
ival-add!: 1.0ms (6.7% of total)

bsearch27.0ms (0.7%)

Memory
-4.4MiB live, 40.3MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
-3.2029221211719887e-308
3.4455771398521106e-293
Samples
10.0ms160×0valid
3.0ms50×0invalid
Compiler

Compiled 340 to 360 computations (-5.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult!: 4.0ms (50.1% of total)
ival-sqrt: 1.0ms (12.5% of total)
ival-neg: 1.0ms (12.5% of total)
ival-div!: 1.0ms (12.5% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations182.0ms (4.5%)

Memory
-22.3MiB live, 114.6MiB allocated; 104ms collecting garbage
Stop Event
fuel
Compiler

Compiled 110 to 75 computations (31.8% saved)

preprocess61.0ms (1.5%)

Memory
44.9MiB live, 136.8MiB allocated; 8ms collecting garbage
Compiler

Compiled 203 to 117 computations (42.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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