The quadratic formula (r1)

Time bar (total: 4.3s)

start0.0ms (0%)

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

analyze120.0ms (2.8%)

Memory
15.8MiB live, 154.5MiB allocated; 30ms 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 (47.9%)

Memory
73.0MiB live, 1 942.1MiB allocated; 1.1s collecting garbage
Samples
772.0ms5 491×0valid
308.0ms1 234×2valid
268.0ms1 332×1valid
154.0ms952×0invalid
54.0ms199×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult!: 589.0ms (54.3% of total)
adjust: 125.0ms (11.5% of total)
ival-sqrt: 125.0ms (11.5% of total)
ival-div!: 118.0ms (10.9% of total)
ival-neg: 55.0ms (5.1% of total)
ival-sub!: 39.0ms (3.6% of total)
ival-add!: 35.0ms (3.2% of total)
Bogosity

preprocess52.0ms (1.2%)

Memory
-24.1MiB live, 67.8MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058175
1211168
2702168
32723167
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 28 to 28 computations (0% saved)

series40.0ms (0.9%)

Memory
17.6MiB live, 65.8MiB allocated; 18ms collecting garbage
Counts
14 → 103
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
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)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* -2 (/ (* a c) b)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (pow b 2)))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2))))
#s(approx (* (* 4 a) c) #s(hole binary64 (* 4 (* a c))))
#s(approx (* 4 a) #s(hole binary64 (* 4 a)))
#s(approx a #s(hole binary64 a))
#s(approx (* 2 a) #s(hole binary64 (* 2 a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -4 (* a c))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 4 c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (- (pow b 2) (* 4 (* a c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 4 a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))))
Calls

9 calls:

TimeVariablePointExpression
16.0ms
c
@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) 4 a c (* 2 a) 2)
4.0ms
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) 4 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) 4 a c (* 2 a) 2)
3.0ms
c
@-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) 4 a c (* 2 a) 2)
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) 4 a c (* 2 a) 2)

rewrite462.0ms (10.7%)

Memory
25.1MiB live, 213.8MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06654487
06794217
038073991
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
117 → 157
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* -2 (/ (* a c) b)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (pow b 2)))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2))))
#s(approx (* (* 4 a) c) #s(hole binary64 (* 4 (* a c))))
#s(approx (* 4 a) #s(hole binary64 (* 4 a)))
#s(approx a #s(hole binary64 a))
#s(approx (* 2 a) #s(hole binary64 (* 2 a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -4 (* a c))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 4 c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (- (pow b 2) (* 4 (* a c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 4 a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))))
Outputs
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)) a)
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
(+.f64 (/.f64 (neg.f64 b) (+.f64 a a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 a a)))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
b
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) (*.f64 (*.f64 a #s(literal 4 binary64)) c))) (fma.f64 b b (*.f64 (*.f64 a #s(literal 4 binary64)) c)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 #s(literal -4 binary64) (*.f64 c a)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))
(/.f64 (-.f64 (pow.f64 (*.f64 b b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) (*.f64 (*.f64 a #s(literal 4 binary64)) c) (*.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 4 binary64)) c)))))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(fma.f64 b b (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c))
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 4 binary64)) c))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(*.f64 (*.f64 c a) #s(literal 4 binary64))
(*.f64 (*.f64 a #s(literal 4 binary64)) c)
(*.f64 c (*.f64 a #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 c a))
(*.f64 a #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(+.f64 a a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b))) (/.f64 (neg.f64 c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)))) a (/.f64 (neg.f64 c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 20 binary64)) a) b) #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64))) (neg.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)))) (/.f64 (neg.f64 c) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 20 binary64)) a) b) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -2 binary64) (/.f64 c b))) a))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)))) a b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
#s(approx (- (* b b) (* (* 4 a) c)) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
#s(approx (* (* 4 a) c) (*.f64 (*.f64 a #s(literal 4 binary64)) c))
#s(approx (* 4 a) (*.f64 a #s(literal 4 binary64)))
#s(approx a a)
#s(approx (* 2 a) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a)))) a))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) a))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) a))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal 4 binary64))) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) b)) a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal -1/8 binary64))) a))) a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b a)) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) a))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/4 binary64))) a)) b) a))) a)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64))) a)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64)))) a)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64))))) a)))
#s(approx (- (* b b) (* (* 4 a) c)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) a)) (*.f64 #s(literal -4 binary64) c)) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/16 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))))) b) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (neg.f64 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))) b) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (neg b) (neg.f64 b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))) (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 binary64))))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (- (* b b) (* (* 4 a) c)) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -2 binary64) (neg.f64 c)) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -2 binary64) (neg.f64 c)) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) a)) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))))) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64)) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 1 binary64)) b))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#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 (neg.f64 b) (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (+.f64 (+.f64 (neg.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -2 binary64) (+.f64 (+.f64 (neg.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b))))))
#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 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 2 binary64))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 1 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (*.f64 (*.f64 b b) b)))) c) (/.f64 #s(literal 1 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 20 binary64)) c) (*.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 a (*.f64 (*.f64 b b) b)))) c) (/.f64 #s(literal 1 binary64) b)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) b)))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -4 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 20 binary64)) c) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 a b) #s(literal -2 binary64))) c))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) b)))) c b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -4 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b))
#s(approx c c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 (neg.f64 b) c)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 b c))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 b c)))) c))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) c))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) c))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal 4 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 b (*.f64 c a)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/8 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) #s(literal -1/128 binary64))) c))) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b c))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (/.f64 c a))) #s(literal 1/4 binary64))) c)) b) c)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (neg.f64 c) (-.f64 (neg.f64 (/.f64 (*.f64 b b) c)) (*.f64 #s(literal -4 binary64) a))))

eval18.0ms (0.4%)

Memory
0.3MiB live, 46.8MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 899 to 909 computations (68.6% saved)

prune13.0ms (0.3%)

Memory
-13.8MiB live, 32.5MiB allocated; 4ms collecting garbage
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New13215147
Fresh000
Picked101
Done000
Total13315148
Accuracy
99.5%
Counts
148 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.7%
(/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
50.3%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
33.9%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
22.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)) (*.f64 #s(literal 2 binary64) a))
29.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a))
29.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
22.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
22.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
27.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b))
34.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
32.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
29.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) b)) c))
20.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
31.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 b (*.f64 c a)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
20.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
Compiler

Compiled 624 to 604 computations (3.2% saved)

series61.0ms (1.4%)

Memory
17.4MiB live, 157.3MiB allocated; 15ms collecting garbage
Counts
36 → 133
Calls
Call 1
Inputs
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
(*.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
a
c
(*.f64 b b)
b
(neg.f64 b)
(+.f64 a a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))
(*.f64 (/.f64 c a) #s(literal -4 binary64))
(/.f64 c a)
#s(literal 1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(/.f64 b a)
#s(literal -1/2 binary64)
(neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b))
(/.f64 (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b)
(+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))
(neg.f64 c)
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))
(*.f64 (*.f64 c c) a)
(*.f64 c c)
Outputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* -2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2))))
#s(approx (* -4 a) #s(hole binary64 (* -4 a)))
#s(approx a #s(hole binary64 a))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (/ (neg b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -4))))
#s(approx (* (/ c a) -4) #s(hole binary64 (* -4 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (/ (- (* -1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (* (/ c a) -1) #s(hole binary64 (* -1 (/ c a))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (* -1 c)))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)))
#s(approx (neg (/ (* (* c c) a) (* b b))) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (/ (* (* c c) a) (* b b)) #s(hole binary64 (/ (* a (pow c 2)) (pow b 2))))
#s(approx (* (* c c) a) #s(hole binary64 (* a (pow c 2))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -4 (* a c))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (- (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* 2 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* -1/2 (/ b a))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* b (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b))) (* 1/2 (/ 1 a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* -1 (* b (+ (* (sqrt (/ c a)) (/ (sqrt -1) b)) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 2))) 1))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* c (- (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* -2 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* -1 (* c (- (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
Calls

9 calls:

TimeVariablePointExpression
11.0ms
c
@inf
((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* -4 a) -4 a c (* b b) b (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) 1/2) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) 1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (/ b a) -1/2 (neg (sqrt (* (/ c a) -1))) (sqrt (* (/ c a) -1)) (* (/ c a) -1) -1 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) (neg c) (neg (/ (* (* c c) a) (* b b))) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c))
9.0ms
c
@-inf
((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* -4 a) -4 a c (* b b) b (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) 1/2) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) 1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (/ b a) -1/2 (neg (sqrt (* (/ c a) -1))) (sqrt (* (/ c a) -1)) (* (/ c a) -1) -1 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) (neg c) (neg (/ (* (* c c) a) (* b b))) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c))
7.0ms
a
@0
((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* -4 a) -4 a c (* b b) b (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) 1/2) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) 1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (/ b a) -1/2 (neg (sqrt (* (/ c a) -1))) (sqrt (* (/ c a) -1)) (* (/ c a) -1) -1 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) (neg c) (neg (/ (* (* c c) a) (* b b))) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c))
7.0ms
b
@inf
((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* -4 a) -4 a c (* b b) b (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) 1/2) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) 1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (/ b a) -1/2 (neg (sqrt (* (/ c a) -1))) (sqrt (* (/ c a) -1)) (* (/ c a) -1) -1 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) (neg c) (neg (/ (* (* c c) a) (* b b))) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c))
7.0ms
a
@inf
((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* -4 a) -4 a c (* b b) b (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) 1/2) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) 1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (/ b a) -1/2 (neg (sqrt (* (/ c a) -1))) (sqrt (* (/ c a) -1)) (* (/ c a) -1) -1 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) (neg c) (neg (/ (* (* c c) a) (* b b))) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c))

rewrite195.0ms (4.5%)

Memory
10.0MiB live, 191.1MiB allocated; 79ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07925292
08344935
044424789
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
169 → 269
Calls
Call 1
Inputs
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
(*.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
a
c
(*.f64 b b)
b
(neg.f64 b)
(+.f64 a a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))
(*.f64 (/.f64 c a) #s(literal -4 binary64))
(/.f64 c a)
#s(literal 1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(/.f64 b a)
#s(literal -1/2 binary64)
(neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b))
(/.f64 (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b)
(+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))
(neg.f64 c)
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))
(*.f64 (*.f64 c c) a)
(*.f64 c c)
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* -2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2))))
#s(approx (* -4 a) #s(hole binary64 (* -4 a)))
#s(approx a #s(hole binary64 a))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (/ (neg b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -4))))
#s(approx (* (/ c a) -4) #s(hole binary64 (* -4 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (/ (- (* -1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (* (/ c a) -1) #s(hole binary64 (* -1 (/ c a))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (* -1 c)))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)))
#s(approx (neg (/ (* (* c c) a) (* b b))) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (/ (* (* c c) a) (* b b)) #s(hole binary64 (/ (* a (pow c 2)) (pow b 2))))
#s(approx (* (* c c) a) #s(hole binary64 (* a (pow c 2))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -4 (* a c))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (- (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* 2 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* -1/2 (/ b a))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* b (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b))) (* 1/2 (/ 1 a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* -1 (* b (+ (* (sqrt (/ c a)) (/ (sqrt -1) b)) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 2))) 1))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* c (- (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* -2 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* -1 (* c (- (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
Outputs
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (+.f64 a a))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (+.f64 a a)) (/.f64 (neg.f64 b) (+.f64 a a)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 b b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 (*.f64 a #s(literal -4 binary64)) c) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 b b)))))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(-.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 (neg.f64 b) b))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(+.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 b b))
(*.f64 a #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
a
c
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
b
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 a a) (*.f64 a a)) (-.f64 a a))
(/.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 a a) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))
(+.f64 a a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(*.f64 (/.f64 b a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))
(pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))
(*.f64 (/.f64 c a) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 c a))
(/.f64 (*.f64 c #s(literal -4 binary64)) a)
(/.f64 (neg.f64 c) (neg.f64 a))
(/.f64 c a)
#s(literal 1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))) (-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) (-.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (-.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal -1 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(-.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(+.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 b a)
#s(literal -1/2 binary64)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 (/.f64 (neg.f64 c) a) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c a))
(/.f64 (neg.f64 c) a)
(neg.f64 (/.f64 c a))
#s(literal -1 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
(*.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
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#s(approx (* -4 a) (*.f64 a #s(literal -4 binary64)))
#s(approx a a)
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#s(approx (+ (* (* -4 a) c) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a)))
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#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (neg.f64 (*.f64 (+.f64 (/.f64 c (*.f64 b a)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b))) a)))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) (neg.f64 (*.f64 (-.f64 (/.f64 c a) (neg.f64 (/.f64 (*.f64 c c) (*.f64 b b)))) a)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/16 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))))) b) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (neg.f64 b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))) b) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 binary64))))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
#s(approx (neg b) (neg.f64 b))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 b b) c)) (neg.f64 (*.f64 (*.f64 c c) a))) (*.f64 (*.f64 b b) b)))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) (/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 b b) c)) (*.f64 (*.f64 c c) a)) (*.f64 b b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -2 binary64) (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -2 binary64) (+.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) a)))) b))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))))) b))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b)))))) b))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))))) b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64)) b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 1 binary64)) b))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)) (/.f64 #s(literal 1/2 binary64) a)) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (neg.f64 b) (+.f64 (+.f64 (neg.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -2 binary64) (+.f64 (+.f64 (neg.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 2 binary64))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 1 binary64))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (neg.f64 b) (+.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b) (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) b)) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (*.f64 (*.f64 b b) b)))) c) (/.f64 #s(literal 1 binary64) b)) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (-.f64 (*.f64 (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 20 binary64)) c) (*.f64 b a)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 a (*.f64 (*.f64 b b) b)))) c) (/.f64 #s(literal 1 binary64) b)) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) b)))) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -4 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 20 binary64)) c) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 a b) #s(literal -2 binary64))) c))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) b)))) c b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -4 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b))
#s(approx c c)
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 1 binary64)) c))
#s(approx (* c c) (*.f64 c c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 (neg.f64 b) c)) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 b c))) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 b c)))) c))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) c))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) c))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) c))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64)))) c))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (*.f64 (*.f64 c c) (-.f64 (neg.f64 (/.f64 a (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) (*.f64 b c)))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) (neg.f64 (*.f64 (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1 binary64) c)) (*.f64 c c))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 b (*.f64 c a)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/8 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) #s(literal -1/128 binary64))) c))) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b c))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) c)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (/.f64 c a))) #s(literal 1/4 binary64))) c)) b) c)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))))))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (neg.f64 (/.f64 (*.f64 b b) c)))))
#s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal -2 binary64)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (neg.f64 c) (-.f64 (*.f64 (/.f64 b (*.f64 c a)) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))

eval27.0ms (0.6%)

Memory
0.1MiB live, 46.3MiB allocated; 4ms collecting garbage
Compiler

Compiled 4 069 to 1 388 computations (65.9% saved)

prune16.0ms (0.4%)

Memory
-20.5MiB live, 26.2MiB allocated; 3ms collecting garbage
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New24913262
Fresh9110
Picked235
Done000
Total26017277
Accuracy
99.5%
Counts
277 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.7%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b))) (+.f64 a a))
50.3%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
33.9%
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (+.f64 a a))
22.9%
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 (neg.f64 b) a)) a)) (+.f64 a a))
29.4%
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (+.f64 a a))
29.3%
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (+.f64 a a))
22.9%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
27.8%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
34.9%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
29.8%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) b)) c))
32.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
20.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
20.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
22.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
14.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
31.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64)))) c)))
20.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)) (/.f64 #s(literal 1/2 binary64) a)) b)))
Compiler

Compiled 714 to 696 computations (2.5% saved)

series50.0ms (1.2%)

Memory
13.5MiB live, 64.6MiB allocated; 15ms collecting garbage
Counts
32 → 81
Calls
Call 1
Inputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
c
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(*.f64 (/.f64 b a) #s(literal -1/2 binary64))
(/.f64 b a)
a
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (neg.f64 c) a))))
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (neg.f64 c) a)
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
(/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)
(neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)
(*.f64 c c)
(/.f64 a (*.f64 b b))
(*.f64 b b)
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) b)) c))
(*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) b)) c)
(-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) b))
(neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b)))
(/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b))
(*.f64 c a)
(*.f64 (*.f64 b b) b)
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
Outputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (/ (- (* -1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (* (/ b a) -1/2) #s(hole binary64 (* -1/2 (/ b a))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx a #s(hole binary64 a))
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (neg c) a) #s(hole binary64 (* -1 (/ c a))))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) #s(hole binary64 (* -1 c)))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) #s(hole binary64 (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)))
#s(approx (+ (* (* c c) (/ a (* b b))) c) #s(hole binary64 c))
#s(approx (+ (* (* c c) (/ a (* b b))) c) #s(hole binary64 (+ c (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (/ a (* b b)) #s(hole binary64 (/ a (pow b 2))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (/ -1 b)))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
#s(approx (neg (/ (* c a) (* (* b b) b))) #s(hole binary64 (* -1 (/ (* a c) (pow b 3)))))
#s(approx (/ (* c a) (* (* b b) b)) #s(hole binary64 (/ (* a c) (pow b 3))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (- (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) #s(hole binary64 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) #s(hole binary64 (* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2))))))
#s(approx (+ (* (* c c) (/ a (* b b))) c) #s(hole binary64 (/ (* a (pow c 2)) (pow b 2))))
#s(approx (+ (* (* c c) (/ a (* b b))) c) #s(hole binary64 (* a (+ (/ c a) (/ (pow c 2) (pow b 2))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (* a (+ (/ 1 (* a b)) (/ c (pow b 3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))))
#s(approx (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) #s(hole binary64 (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) #s(hole binary64 (* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2))))))))
#s(approx (+ (* (* c c) (/ a (* b b))) c) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (* a (- (/ 1 (* a b)) (* -1 (/ c (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))))
#s(approx b #s(hole binary64 b))
#s(approx (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) #s(hole binary64 (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) #s(hole binary64 (/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2))))
#s(approx (+ (* (* c c) (/ a (* b b))) c) #s(hole binary64 (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (/ (- (* -1 (pow b 2)) (* a c)) (pow b 3))))
#s(approx (* (* b b) b) #s(hole binary64 (pow b 3)))
#s(approx (/ 1 b) #s(hole binary64 (/ 1 b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* b (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b))) (* 1/2 (/ 1 a))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* -1 (* b (+ (* (sqrt (/ c a)) (/ (sqrt -1) b)) (* 1/2 (/ 1 a)))))))
#s(approx (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) #s(hole binary64 (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 2))) 1))))
#s(approx (+ (* (* c c) (/ a (* b b))) c) #s(hole binary64 (* c (+ 1 (/ (* a c) (pow b 2))))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* c (- (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) #s(hole binary64 (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) #s(hole binary64 (* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))))))
#s(approx (+ (* (* c c) (/ a (* b b))) c) #s(hole binary64 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (* c (+ (/ 1 (* b c)) (/ a (pow b 3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* -1 (* c (- (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (* c (- (/ 1 (* b c)) (* -1 (/ a (pow b 3))))))))
Calls

9 calls:

TimeVariablePointExpression
16.0ms
b
@-inf
((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/ (neg c) b) (neg c) c b (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (* (/ b a) -1/2) (/ b a) a -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (- (* (/ b a) -1/2) (sqrt (/ (neg c) a))) (sqrt (/ (neg c) a)) (/ (neg c) a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) (neg (+ (* (* c c) (/ a (* b b))) c)) (+ (* (* c c) (/ a (* b b))) c) (* c c) (/ a (* b b)) (* b b) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (neg (/ (* c a) (* (* b b) b))) (/ (* c a) (* (* b b) b)) (* c a) (* (* b b) b) (/ 1 b) 1)
4.0ms
c
@inf
((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/ (neg c) b) (neg c) c b (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (* (/ b a) -1/2) (/ b a) a -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (- (* (/ b a) -1/2) (sqrt (/ (neg c) a))) (sqrt (/ (neg c) a)) (/ (neg c) a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) (neg (+ (* (* c c) (/ a (* b b))) c)) (+ (* (* c c) (/ a (* b b))) c) (* c c) (/ a (* b b)) (* b b) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (neg (/ (* c a) (* (* b b) b))) (/ (* c a) (* (* b b) b)) (* c a) (* (* b b) b) (/ 1 b) 1)
4.0ms
a
@-inf
((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/ (neg c) b) (neg c) c b (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (* (/ b a) -1/2) (/ b a) a -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (- (* (/ b a) -1/2) (sqrt (/ (neg c) a))) (sqrt (/ (neg c) a)) (/ (neg c) a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) (neg (+ (* (* c c) (/ a (* b b))) c)) (+ (* (* c c) (/ a (* b b))) c) (* c c) (/ a (* b b)) (* b b) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (neg (/ (* c a) (* (* b b) b))) (/ (* c a) (* (* b b) b)) (* c a) (* (* b b) b) (/ 1 b) 1)
4.0ms
a
@inf
((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/ (neg c) b) (neg c) c b (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (* (/ b a) -1/2) (/ b a) a -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (- (* (/ b a) -1/2) (sqrt (/ (neg c) a))) (sqrt (/ (neg c) a)) (/ (neg c) a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) (neg (+ (* (* c c) (/ a (* b b))) c)) (+ (* (* c c) (/ a (* b b))) c) (* c c) (/ a (* b b)) (* b b) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (neg (/ (* c a) (* (* b b) b))) (/ (* c a) (* (* b b) b)) (* c a) (* (* b b) b) (/ 1 b) 1)
4.0ms
c
@-inf
((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/ (neg c) b) (neg c) c b (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (* (/ b a) -1/2) (/ b a) a -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (- (* (/ b a) -1/2) (sqrt (/ (neg c) a))) (sqrt (/ (neg c) a)) (/ (neg c) a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) (neg (+ (* (* c c) (/ a (* b b))) c)) (+ (* (* c c) (/ a (* b b))) c) (* c c) (/ a (* b b)) (* b b) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (neg (/ (* c a) (* (* b b) b))) (/ (* c a) (* (* b b) b)) (* c a) (* (* b b) b) (/ 1 b) 1)

rewrite86.0ms (2%)

Memory
-11.9MiB live, 80.7MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04912985
05242777
026292696
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
113 → 193
Calls
Call 1
Inputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
c
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(*.f64 (/.f64 b a) #s(literal -1/2 binary64))
(/.f64 b a)
a
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (neg.f64 c) a))))
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (neg.f64 c) a)
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
(/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)
(neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)
(*.f64 c c)
(/.f64 a (*.f64 b b))
(*.f64 b b)
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) b)) c))
(*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) b)) c)
(-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) b))
(neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b)))
(/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b))
(*.f64 c a)
(*.f64 (*.f64 b b) b)
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (/ (- (* -1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (* (/ b a) -1/2) #s(hole binary64 (* -1/2 (/ b a))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx a #s(hole binary64 a))
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (neg c) a) #s(hole binary64 (* -1 (/ c a))))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) #s(hole binary64 (* -1 c)))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) #s(hole binary64 (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)))
#s(approx (+ (* (* c c) (/ a (* b b))) c) #s(hole binary64 c))
#s(approx (+ (* (* c c) (/ a (* b b))) c) #s(hole binary64 (+ c (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (/ a (* b b)) #s(hole binary64 (/ a (pow b 2))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (/ -1 b)))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
#s(approx (neg (/ (* c a) (* (* b b) b))) #s(hole binary64 (* -1 (/ (* a c) (pow b 3)))))
#s(approx (/ (* c a) (* (* b b) b)) #s(hole binary64 (/ (* a c) (pow b 3))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (- (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) #s(hole binary64 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) #s(hole binary64 (* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2))))))
#s(approx (+ (* (* c c) (/ a (* b b))) c) #s(hole binary64 (/ (* a (pow c 2)) (pow b 2))))
#s(approx (+ (* (* c c) (/ a (* b b))) c) #s(hole binary64 (* a (+ (/ c a) (/ (pow c 2) (pow b 2))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (* a (+ (/ 1 (* a b)) (/ c (pow b 3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))))
#s(approx (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) #s(hole binary64 (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) #s(hole binary64 (* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2))))))))
#s(approx (+ (* (* c c) (/ a (* b b))) c) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (* a (- (/ 1 (* a b)) (* -1 (/ c (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))))
#s(approx b #s(hole binary64 b))
#s(approx (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) #s(hole binary64 (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) #s(hole binary64 (/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2))))
#s(approx (+ (* (* c c) (/ a (* b b))) c) #s(hole binary64 (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (/ (- (* -1 (pow b 2)) (* a c)) (pow b 3))))
#s(approx (* (* b b) b) #s(hole binary64 (pow b 3)))
#s(approx (/ 1 b) #s(hole binary64 (/ 1 b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* b (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b))) (* 1/2 (/ 1 a))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* -1 (* b (+ (* (sqrt (/ c a)) (/ (sqrt -1) b)) (* 1/2 (/ 1 a)))))))
#s(approx (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) #s(hole binary64 (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 2))) 1))))
#s(approx (+ (* (* c c) (/ a (* b b))) c) #s(hole binary64 (* c (+ 1 (/ (* a c) (pow b 2))))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* c (- (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) #s(hole binary64 (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) #s(hole binary64 (* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))))))
#s(approx (+ (* (* c c) (/ a (* b b))) c) #s(hole binary64 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (* c (+ (/ 1 (* b c)) (/ a (pow b 3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* -1 (* c (- (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (* c (- (/ 1 (* b c)) (* -1 (/ a (pow b 3))))))))
Outputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
(*.f64 (/.f64 c b) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c b))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 b))
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 c b))
(*.f64 #s(literal -1 binary64) c)
(*.f64 c #s(literal -1 binary64))
(neg.f64 c)
c
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(*.f64 (/.f64 b a) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) b) a)
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 b a)
a
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (sqrt.f64 (/.f64 (neg.f64 c) a))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (sqrt.f64 (/.f64 (neg.f64 c) a))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(pow.f64 (/.f64 (neg.f64 c) a) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(*.f64 #s(literal -1 binary64) (/.f64 c a))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 a))
(/.f64 (neg.f64 c) a)
(neg.f64 (/.f64 c a))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 c c) c)) b))
(*.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 c c) c) b) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 c c) c) b))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 c c) c))) (neg.f64 b))
(/.f64 (neg.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 c c) c)) b)
(neg.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 c c) c) b))
(fma.f64 (/.f64 c b) #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) b))
(fma.f64 #s(literal -1 binary64) (/.f64 c b) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) b))
(+.f64 (/.f64 (neg.f64 c) b) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) b))
(*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 c c) c))
(/.f64 (-.f64 (*.f64 c c) (*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)))) (-.f64 (neg.f64 c) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b))))
(/.f64 (+.f64 (pow.f64 (neg.f64 c) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) #s(literal 3 binary64))) (fma.f64 c c (-.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b))) (*.f64 (neg.f64 c) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b))))))
(neg.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 c c) c))
(fma.f64 (*.f64 (/.f64 a (*.f64 b b)) (*.f64 c c)) #s(literal -1 binary64) (neg.f64 c))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 a (*.f64 b b)) (*.f64 c c)) (neg.f64 c))
(fma.f64 #s(literal -1 binary64) c (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)))
(fma.f64 c #s(literal -1 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)))
(-.f64 (neg.f64 c) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (*.f64 b b)) (*.f64 c c))))
(+.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) (neg.f64 c))
(+.f64 (neg.f64 c) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 a (*.f64 b b)) (*.f64 c c)) (*.f64 (/.f64 a (*.f64 b b)) (*.f64 c c))) (*.f64 c c)) (-.f64 (*.f64 (/.f64 a (*.f64 b b)) (*.f64 c c)) c))
(/.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 (/.f64 a (*.f64 b b)) (*.f64 c c)) (*.f64 (/.f64 a (*.f64 b b)) (*.f64 c c)))) (-.f64 c (*.f64 (/.f64 a (*.f64 b b)) (*.f64 c c))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 a (*.f64 b b)) (*.f64 c c)) #s(literal 3 binary64)) (*.f64 (*.f64 c c) c)) (fma.f64 (*.f64 (/.f64 a (*.f64 b b)) (*.f64 c c)) (*.f64 (/.f64 a (*.f64 b b)) (*.f64 c c)) (-.f64 (*.f64 c c) (*.f64 (*.f64 (/.f64 a (*.f64 b b)) (*.f64 c c)) c))))
(/.f64 (fma.f64 (*.f64 c c) c (pow.f64 (*.f64 (/.f64 a (*.f64 b b)) (*.f64 c c)) #s(literal 3 binary64))) (fma.f64 c c (-.f64 (*.f64 (*.f64 (/.f64 a (*.f64 b b)) (*.f64 c c)) (*.f64 (/.f64 a (*.f64 b b)) (*.f64 c c))) (*.f64 c (*.f64 (/.f64 a (*.f64 b b)) (*.f64 c c))))))
(fma.f64 (/.f64 a (*.f64 b b)) (*.f64 c c) c)
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)
(fma.f64 c (*.f64 c (/.f64 a (*.f64 b b))) c)
(fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)
(+.f64 (*.f64 (/.f64 a (*.f64 b b)) (*.f64 c c)) c)
(+.f64 c (*.f64 (/.f64 a (*.f64 b b)) (*.f64 c c)))
(*.f64 (pow.f64 c #s(literal 1 binary64)) (pow.f64 c #s(literal 1 binary64)))
(*.f64 (fabs.f64 c) (fabs.f64 c))
(*.f64 (neg.f64 c) (neg.f64 c))
(*.f64 c c)
(pow.f64 c #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))
(/.f64 (/.f64 a b) b)
(/.f64 (neg.f64 a) (neg.f64 (*.f64 b b)))
(/.f64 a (*.f64 b b))
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (-.f64 (/.f64 (neg.f64 (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) b)) c))
(*.f64 (-.f64 (/.f64 (neg.f64 (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) b)) c)
(*.f64 c (-.f64 (/.f64 (neg.f64 (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 (neg.f64 (*.f64 c a)) (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b))) (+.f64 (/.f64 (neg.f64 (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (*.f64 c a)) (*.f64 (*.f64 b b) b)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 (neg.f64 (*.f64 c a)) (*.f64 (*.f64 b b) b)) (fma.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) b) (*.f64 (/.f64 (neg.f64 (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) b)))))
(-.f64 (/.f64 (neg.f64 (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b))
(/.f64 (neg.f64 (*.f64 c a)) (*.f64 (*.f64 b b) b))
(/.f64 (*.f64 c a) (neg.f64 (*.f64 (*.f64 b b) b)))
(neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b)))
(*.f64 (/.f64 c (*.f64 b b)) (/.f64 a b))
(*.f64 c (/.f64 a (*.f64 (*.f64 b b) b)))
(*.f64 a (/.f64 c (*.f64 (*.f64 b b) b)))
(/.f64 (neg.f64 (*.f64 c a)) (neg.f64 (*.f64 (*.f64 b b) b)))
(/.f64 (*.f64 a (/.f64 c (*.f64 b b))) b)
(/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b))
(*.f64 c a)
(*.f64 a c)
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(*.f64 (*.f64 b b) b)
(*.f64 b (*.f64 b b))
(pow.f64 b #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))
(pow.f64 b #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal -1 binary64) (neg.f64 b))
#s(literal 1 binary64)
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 b b) b)) (/.f64 (neg.f64 c) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)))) a (/.f64 (neg.f64 c) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 20 binary64)) a) b) #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64))) (neg.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)))) (/.f64 (neg.f64 c) b)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64)))) a))
#s(approx (* (/ b a) -1/2) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
#s(approx (/ b a) (/.f64 b a))
#s(approx a a)
#s(approx (sqrt (/ (neg c) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (neg c) a) (/.f64 (neg.f64 c) a))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) (neg.f64 c))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) (-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) c))
#s(approx (+ (* (* c c) (/ a (* b b))) c) c)
#s(approx (+ (* (* c c) (/ a (* b b))) c) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 c c) c))
#s(approx (/ a (* b b)) (/.f64 a (*.f64 b b)))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (-.f64 (/.f64 (neg.f64 (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) b)))
#s(approx (neg (/ (* c a) (* (* b b) b))) (/.f64 (neg.f64 (*.f64 c a)) (*.f64 (*.f64 b b) b)))
#s(approx (/ (* c a) (* (* b b) b)) (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b)))
#s(approx (* c a) (*.f64 c a))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 b b) b)))
#s(approx (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) (*.f64 (+.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (neg.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)))) a))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) (*.f64 (-.f64 (/.f64 (neg.f64 c) a) (/.f64 (*.f64 c c) (*.f64 b b))) a))
#s(approx (+ (* (* c c) (/ a (* b b))) c) (*.f64 (/.f64 a (*.f64 b b)) (*.f64 c c)))
#s(approx (+ (* (* c c) (/ a (* b b))) c) (*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 c a)) a))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (neg.f64 (*.f64 (+.f64 (/.f64 c (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) a)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) b)) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) a))) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) (neg.f64 (*.f64 (+.f64 (/.f64 c (*.f64 b a)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b))) a)))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) (neg.f64 (*.f64 (-.f64 (/.f64 c a) (neg.f64 (/.f64 (*.f64 c c) (*.f64 b b)))) a)))
#s(approx (+ (* (* c c) (/ a (* b b))) c) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 c c) (*.f64 b b))) (/.f64 (neg.f64 c) a)) a)))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (neg.f64 c) (*.f64 (*.f64 b b) b))) a)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/16 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))))) b) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
#s(approx b b)
#s(approx (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) (/.f64 (fma.f64 (neg.f64 (*.f64 b b)) c (neg.f64 (*.f64 (*.f64 c c) a))) (*.f64 (*.f64 b b) b)))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) (/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 b b) c)) (*.f64 (*.f64 c c) a)) (*.f64 b b)))
#s(approx (+ (* (* c c) (/ a (* b b))) c) (/.f64 (fma.f64 (*.f64 b b) c (*.f64 (*.f64 c c) a)) (*.f64 b b)))
#s(approx (* b b) (*.f64 b b))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 (-.f64 (neg.f64 (*.f64 b b)) (*.f64 c a)) (*.f64 (*.f64 b b) b)))
#s(approx (* (* b b) b) (*.f64 (*.f64 b b) b))
#s(approx (/ 1 b) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 c c) c)) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -2 binary64) (neg.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 c c) c))) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -2 binary64) (+.f64 (neg.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 c c) c)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) a)))) b))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)) (/.f64 #s(literal 1/2 binary64) a)) b))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 1 binary64)) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (neg.f64 (/.f64 b a)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (neg.f64 (*.f64 (+.f64 (+.f64 (neg.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -2 binary64) (+.f64 (+.f64 (neg.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b)))) b)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg.f64 (*.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b) (/.f64 #s(literal 1/2 binary64) a)) b)))
#s(approx (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) (/.f64 (neg.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 c c) c)) b))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (neg.f64 (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (-.f64 (/.f64 (neg.f64 (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) b)) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (*.f64 (*.f64 b b) b)))) c) (/.f64 #s(literal 1 binary64) b)) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (-.f64 (*.f64 (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 20 binary64)) c) (*.f64 b a)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 a (*.f64 (*.f64 b b) b)))) c) (/.f64 #s(literal 1 binary64) b)) c))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 1 binary64)) c))
#s(approx (+ (* (* c c) (/ a (* b b))) c) (*.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) c))
#s(approx (* c c) (*.f64 c c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) c))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64)))) c))
#s(approx (/ (neg (+ (* (* c c) (/ a (* b b))) c)) b) (*.f64 (*.f64 c c) (-.f64 (neg.f64 (/.f64 a (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) (*.f64 b c)))))
#s(approx (neg (+ (* (* c c) (/ a (* b b))) c)) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b))) (*.f64 c c))))
#s(approx (+ (* (* c c) (/ a (* b b))) c) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b))) (*.f64 c c)))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (*.f64 (neg.f64 c) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b c)) (/.f64 a (*.f64 (*.f64 b b) b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 b (*.f64 c a)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) #s(literal -1/128 binary64))) c))) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (neg.f64 c) (-.f64 (*.f64 (/.f64 b (*.f64 c a)) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (*.f64 (neg.f64 c) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b c)) (neg.f64 (/.f64 a (*.f64 (*.f64 b b) b))))))

eval23.0ms (0.5%)

Memory
-9.7MiB live, 35.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 533 to 1 018 computations (59.8% saved)

prune10.0ms (0.2%)

Memory
19.4MiB live, 19.4MiB allocated; 0ms collecting garbage
Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New1833186
Fresh279
Picked145
Done033
Total18617203
Accuracy
99.5%
Counts
203 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.7%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b))) (+.f64 a a))
50.3%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
33.9%
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (+.f64 a a))
22.9%
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 (neg.f64 b) a)) a)) (+.f64 a a))
29.3%
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (+.f64 a a))
22.9%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
27.8%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
34.9%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
34.8%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c))
34.2%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (neg.f64 (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b))) c))
32.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
20.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
22.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
14.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
31.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64)))) c)))
20.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)) (/.f64 #s(literal 1/2 binary64) a)) b)))
20.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
Compiler

Compiled 666 to 644 computations (3.3% saved)

series57.0ms (1.3%)

Memory
-6.1MiB live, 86.7MiB allocated; 18ms collecting garbage
Counts
39 → 157
Calls
Call 1
Inputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c))
(*.f64 #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c)
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
b
c
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (neg.f64 c) a)
(neg.f64 c)
a
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (+.f64 a a))
(+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b))
(sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(*.f64 (*.f64 a #s(literal -4 binary64)) c)
(*.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
(neg.f64 b)
(+.f64 a a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)) (/.f64 #s(literal 1/2 binary64) a)) b)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)) (/.f64 #s(literal 1/2 binary64) a)) b))
(*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)) (/.f64 #s(literal 1/2 binary64) a)) b)
(-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)) (/.f64 #s(literal 1/2 binary64) a))
(neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b))
(/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 (neg.f64 b) a)) a)) (+.f64 a a))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 (neg.f64 b) a)) a))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 (neg.f64 b) a)) a)
(+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 (neg.f64 b) a))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))
(*.f64 (/.f64 c a) #s(literal -4 binary64))
(/.f64 c a)
(/.f64 (neg.f64 b) a)
Outputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (/ -1 b)))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (/ (- (* -1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (neg (sqrt (/ (neg c) a))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (neg c) a) #s(hole binary64 (* -1 (/ c a))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* -2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2))))
#s(approx (* (* a -4) c) #s(hole binary64 (* -4 (* a c))))
#s(approx (* a -4) #s(hole binary64 (* -4 a)))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (* (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) b) #s(hole binary64 (* -1 (/ (* b (+ 1/2 (* (sqrt (* a c)) (/ (sqrt -1) b)))) a))))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) #s(hole binary64 (* -1 (/ (+ 1/2 (* (sqrt (* a c)) (/ (sqrt -1) b))) a))))
#s(approx (neg (/ (sqrt (/ (neg c) a)) b)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b)))))
#s(approx (/ (sqrt (/ (neg c) a)) b) #s(hole binary64 (* (sqrt (/ c a)) (/ (sqrt -1) b))))
#s(approx (/ 1/2 a) #s(hole binary64 (/ 1/2 a)))
#s(approx (* (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) a) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) #s(hole binary64 (/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) a)))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -4))))
#s(approx (* (/ c a) -4) #s(hole binary64 (* -4 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (/ (neg b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) #s(hole binary64 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (/ (* a c) (pow b 3)))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (* a (+ (/ 1 (* a b)) (/ c (pow b 3)))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (- (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a)))))
#s(approx (* (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) b) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) #s(hole binary64 (* -1 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b)) (* 1/2 (/ 1 a))))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))))
#s(approx (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) #s(hole binary64 (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (* a (- (/ 1 (* a b)) (* -1 (/ c (pow b 3))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))))
#s(approx (* (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) a) #s(hole binary64 (* 2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) a) #s(hole binary64 (* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) #s(hole binary64 (* 2 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))))
#s(approx (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) #s(hole binary64 (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (/ (- (* -1 (pow b 2)) (* a c)) (pow b 3))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) #s(hole binary64 (/ (- (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* -1/2 (/ b a))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* b (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b))) (* 1/2 (/ 1 a))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) #s(hole binary64 (/ -1/2 a)))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) #s(hole binary64 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b))) (* 1/2 (/ 1 a)))))
#s(approx (* (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) a) #s(hole binary64 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) #s(hole binary64 (* b (- (* (sqrt (/ c a)) (/ (sqrt -4) b)) (/ 1 a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) #s(hole binary64 (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* -1 (* b (+ (* (sqrt (/ c a)) (/ (sqrt -1) b)) (* 1/2 (/ 1 a)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (* (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) a) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) #s(hole binary64 (* -1 (* b (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (/ 1 a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))))
#s(approx c #s(hole binary64 c))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) #s(hole binary64 (* -1 (+ (* 1/2 (/ 1 a)) (* (sqrt (/ c a)) (/ (sqrt -1) b))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))
#s(approx (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) #s(hole binary64 (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (* c (+ (/ 1 (* b c)) (/ a (pow b 3)))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* c (- (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c)))))
#s(approx (* (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) b) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c)))))))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b)) (* 1/2 (/ 1 (* a c))))))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (* c (- (/ 1 (* b c)) (* -1 (/ a (pow b 3))))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* -1 (* c (- (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))))
#s(approx (* (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) b) #s(hole binary64 (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) #s(hole binary64 (* -1 (* c (- (* 1/2 (/ 1 (* a c))) (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b)))))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) #s(hole binary64 (* -2 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c)))))))
Calls

9 calls:

TimeVariablePointExpression
11.0ms
a
@-inf
((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/ -1 b) -1 b c (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg (sqrt (/ (neg c) a))) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) a (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* (* a -4) c) (* a -4) -4 (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (* (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) b) (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) (neg (/ (sqrt (/ (neg c) a)) b)) (/ (sqrt (/ (neg c) a)) b) (/ 1/2 a) 1/2 (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) a) (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) (/ (neg b) a))
9.0ms
c
@-inf
((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/ -1 b) -1 b c (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg (sqrt (/ (neg c) a))) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) a (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* (* a -4) c) (* a -4) -4 (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (* (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) b) (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) (neg (/ (sqrt (/ (neg c) a)) b)) (/ (sqrt (/ (neg c) a)) b) (/ 1/2 a) 1/2 (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) a) (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) (/ (neg b) a))
6.0ms
a
@0
((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/ -1 b) -1 b c (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg (sqrt (/ (neg c) a))) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) a (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* (* a -4) c) (* a -4) -4 (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (* (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) b) (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) (neg (/ (sqrt (/ (neg c) a)) b)) (/ (sqrt (/ (neg c) a)) b) (/ 1/2 a) 1/2 (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) a) (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) (/ (neg b) a))
5.0ms
a
@inf
((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/ -1 b) -1 b c (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg (sqrt (/ (neg c) a))) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) a (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* (* a -4) c) (* a -4) -4 (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (* (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) b) (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) (neg (/ (sqrt (/ (neg c) a)) b)) (/ (sqrt (/ (neg c) a)) b) (/ 1/2 a) 1/2 (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) a) (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) (/ (neg b) a))
5.0ms
c
@inf
((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/ -1 b) -1 b c (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg (sqrt (/ (neg c) a))) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) a (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* (* a -4) c) (* a -4) -4 (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (* (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) b) (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) (neg (/ (sqrt (/ (neg c) a)) b)) (/ (sqrt (/ (neg c) a)) b) (/ 1/2 a) 1/2 (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) a) (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) (/ (neg b) a))

rewrite283.0ms (6.6%)

Memory
2.0MiB live, 144.4MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08926303
09345867
049365619
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
196 → 274
Calls
Call 1
Inputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c))
(*.f64 #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c)
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
b
c
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (neg.f64 c) a)
(neg.f64 c)
a
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (+.f64 a a))
(+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b))
(sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(*.f64 (*.f64 a #s(literal -4 binary64)) c)
(*.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
(neg.f64 b)
(+.f64 a a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)) (/.f64 #s(literal 1/2 binary64) a)) b)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)) (/.f64 #s(literal 1/2 binary64) a)) b))
(*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)) (/.f64 #s(literal 1/2 binary64) a)) b)
(-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)) (/.f64 #s(literal 1/2 binary64) a))
(neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b))
(/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 (neg.f64 b) a)) a)) (+.f64 a a))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 (neg.f64 b) a)) a))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 (neg.f64 b) a)) a)
(+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 (neg.f64 b) a))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))
(*.f64 (/.f64 c a) #s(literal -4 binary64))
(/.f64 c a)
(/.f64 (neg.f64 b) a)
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (/ -1 b)))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (/ (- (* -1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (neg (sqrt (/ (neg c) a))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (neg c) a) #s(hole binary64 (* -1 (/ c a))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* -2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2))))
#s(approx (* (* a -4) c) #s(hole binary64 (* -4 (* a c))))
#s(approx (* a -4) #s(hole binary64 (* -4 a)))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (* (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) b) #s(hole binary64 (* -1 (/ (* b (+ 1/2 (* (sqrt (* a c)) (/ (sqrt -1) b)))) a))))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) #s(hole binary64 (* -1 (/ (+ 1/2 (* (sqrt (* a c)) (/ (sqrt -1) b))) a))))
#s(approx (neg (/ (sqrt (/ (neg c) a)) b)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b)))))
#s(approx (/ (sqrt (/ (neg c) a)) b) #s(hole binary64 (* (sqrt (/ c a)) (/ (sqrt -1) b))))
#s(approx (/ 1/2 a) #s(hole binary64 (/ 1/2 a)))
#s(approx (* (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) a) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) #s(hole binary64 (/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) a)))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -4))))
#s(approx (* (/ c a) -4) #s(hole binary64 (* -4 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (/ (neg b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) #s(hole binary64 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (/ (* a c) (pow b 3)))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (* a (+ (/ 1 (* a b)) (/ c (pow b 3)))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (- (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a)))))
#s(approx (* (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) b) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) #s(hole binary64 (* -1 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b)) (* 1/2 (/ 1 a))))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))))
#s(approx (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) #s(hole binary64 (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (* a (- (/ 1 (* a b)) (* -1 (/ c (pow b 3))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))))
#s(approx (* (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) a) #s(hole binary64 (* 2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) a) #s(hole binary64 (* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) #s(hole binary64 (* 2 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) #s(hole binary64 (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))))
#s(approx (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) #s(hole binary64 (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (/ (- (* -1 (pow b 2)) (* a c)) (pow b 3))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) #s(hole binary64 (/ (- (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* -1/2 (/ b a))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* b (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b))) (* 1/2 (/ 1 a))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) #s(hole binary64 (/ -1/2 a)))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) #s(hole binary64 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b))) (* 1/2 (/ 1 a)))))
#s(approx (* (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) a) #s(hole binary64 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) #s(hole binary64 (* b (- (* (sqrt (/ c a)) (/ (sqrt -4) b)) (/ 1 a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) #s(hole binary64 (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* -1 (* b (+ (* (sqrt (/ c a)) (/ (sqrt -1) b)) (* 1/2 (/ 1 a)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (* (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) a) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) #s(hole binary64 (* -1 (* b (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (/ 1 a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))))
#s(approx c #s(hole binary64 c))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) #s(hole binary64 (* -1 (+ (* 1/2 (/ 1 a)) (* (sqrt (/ c a)) (/ (sqrt -1) b))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))
#s(approx (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) #s(hole binary64 (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (* c (+ (/ 1 (* b c)) (/ a (pow b 3)))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* c (- (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c)))))
#s(approx (* (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) b) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c)))))))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b)) (* 1/2 (/ 1 (* a c))))))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) #s(hole binary64 (* -1 (* c (- (/ 1 (* b c)) (* -1 (/ a (pow b 3))))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) #s(hole binary64 (* -1 (* c (- (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))))
#s(approx (* (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) b) #s(hole binary64 (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) #s(hole binary64 (* -1 (* c (- (* 1/2 (/ 1 (* a c))) (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b)))))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) #s(hole binary64 (* -2 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c)))))))
Outputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c))
(*.f64 #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 c #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal -1 binary64) b)
(/.f64 #s(literal 1 binary64) (neg.f64 b))
#s(literal -1 binary64)
b
c
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(pow.f64 (/.f64 (neg.f64 c) a) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c a))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 a))
(/.f64 (neg.f64 c) a)
(neg.f64 (/.f64 c a))
(*.f64 #s(literal -1 binary64) c)
(*.f64 c #s(literal -1 binary64))
(neg.f64 c)
a
(/.f64 (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (+.f64 a a))
(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (+.f64 a a)) (/.f64 (neg.f64 b) (+.f64 a a)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 b b)) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (neg.f64 b)))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (neg.f64 b)))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (neg.f64 b))
(pow.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(*.f64 (*.f64 a #s(literal -4 binary64)) c)
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(*.f64 a #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 a a) (*.f64 a a)) (-.f64 a a))
(/.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 a a) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))
(+.f64 a a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) b) (/.f64 #s(literal 1/2 binary64) a)) b)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) b) (/.f64 #s(literal 1/2 binary64) a)) b))
(*.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) b) (/.f64 #s(literal 1/2 binary64) a)) b)
(*.f64 b (-.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) b) (/.f64 #s(literal 1/2 binary64) a)))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) b) (/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) b)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) a))) (+.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) b) (/.f64 #s(literal 1/2 binary64) a)))
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) b) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) b) (/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) b) (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) b) (/.f64 #s(literal 1/2 binary64) a)))))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)))
(-.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) b) (/.f64 #s(literal 1/2 binary64) a))
(+.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) b) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) b)
(/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) (neg.f64 b))
(neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b))
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b) (sqrt.f64 (/.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (neg.f64 b))
(/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1/2 binary64) a)
(/.f64 #s(literal -1/2 binary64) (neg.f64 a))
#s(literal 1/2 binary64)
(/.f64 (neg.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))) (neg.f64 (+.f64 a a)))
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)) (+.f64 a a))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))
(*.f64 (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)
(*.f64 a (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
(fma.f64 (/.f64 (neg.f64 b) a) a (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a))
(fma.f64 a (/.f64 (neg.f64 b) a) (*.f64 a (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
(+.f64 (*.f64 a (/.f64 (neg.f64 b) a)) (*.f64 a (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
(+.f64 (*.f64 (/.f64 (neg.f64 b) a) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) (-.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 (neg.f64 b) a)))
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a) (-.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (*.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 (neg.f64 b) a)))))
(fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) a))
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))
(-.f64 (/.f64 (neg.f64 b) a) (*.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))
(+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))
(+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 (neg.f64 b) a))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))
(pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))
(*.f64 (/.f64 c a) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 c a))
(/.f64 (*.f64 c #s(literal -4 binary64)) a)
(/.f64 (neg.f64 c) (neg.f64 a))
(/.f64 c a)
(*.f64 (/.f64 b a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 b b) b)) (/.f64 (neg.f64 c) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)))) a (/.f64 (neg.f64 c) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 20 binary64)) a) b) #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64))) (neg.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)))) (/.f64 (neg.f64 c) b)))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (-.f64 (/.f64 (neg.f64 (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) b)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64)))) a))
#s(approx (neg (sqrt (/ (neg c) a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (sqrt (/ (neg c) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (neg c) a) (/.f64 (neg.f64 c) a))
#s(approx a a)
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)))) a))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 20 binary64)) a) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -2 binary64) (/.f64 c b))) a))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) b)
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)))) a b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 b b))
#s(approx (+ (* (* -4 a) c) (* b b)) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))
#s(approx (* (* a -4) c) (*.f64 c (*.f64 a #s(literal -4 binary64))))
#s(approx (* a -4) (*.f64 a #s(literal -4 binary64)))
#s(approx (+ a a) (+.f64 a a))
#s(approx (* (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) b) (neg.f64 (*.f64 b (/.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) b) #s(literal 1/2 binary64)) a))))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) (neg.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) b) #s(literal 1/2 binary64)) a)))
#s(approx (neg (/ (sqrt (/ (neg c) a)) b)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) b))
#s(approx (/ (sqrt (/ (neg c) a)) b) (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b))
#s(approx (/ 1/2 a) (/.f64 #s(literal 1/2 binary64) a))
#s(approx (* (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) a) (+.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) (neg.f64 b)))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) (/.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) (neg.f64 b)) a))
#s(approx (sqrt (* (/ c a) -4)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))
#s(approx (* (/ c a) -4) (*.f64 (/.f64 c a) #s(literal -4 binary64)))
#s(approx (/ c a) (/.f64 c a))
#s(approx (/ (neg b) a) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
#s(approx (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 b b) b)))
#s(approx (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) (*.f64 (+.f64 (/.f64 (neg.f64 c) (*.f64 b a)) (neg.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)))) a))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 (neg.f64 (*.f64 c a)) (*.f64 (*.f64 b b) b)))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (neg.f64 (*.f64 (+.f64 (/.f64 c (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) a)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (/.f64 b a)) a))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (/.f64 b a))) a))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) a))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) a))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)) a))
#s(approx (* (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) b) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) b)) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) a))) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) (neg.f64 (*.f64 (+.f64 (/.f64 c (*.f64 b a)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b))) a)))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 (neg.f64 c) (*.f64 (*.f64 b b) b))) a)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (/.f64 b a)) a)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) a))) a)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))) a)) b) a))) a)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64))) a)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64)))) a)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) #s(literal 1/512 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64))))) a)))
#s(approx (+ (* (* -4 a) c) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a)))
#s(approx (* (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) a) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (* (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) a) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal -2 binary64) (/.f64 b a)) a)))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64)))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (/.f64 (neg.f64 b) a)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/16 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))))) b) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
#s(approx (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) (/.f64 (fma.f64 (neg.f64 (*.f64 b b)) c (neg.f64 (*.f64 (*.f64 c c) a))) (*.f64 (*.f64 b b) b)))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 (-.f64 (neg.f64 (*.f64 b b)) (*.f64 c a)) (*.f64 (*.f64 b b) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))) b) #s(literal 1 binary64)) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))) (*.f64 b b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 binary64))))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
#s(approx (neg b) (neg.f64 b))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (sqrt.f64 (/.f64 (neg.f64 c) a))) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -2 binary64) (neg.f64 c)) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b))) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -2 binary64) (neg.f64 c)) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) a)) #s(literal -1/4 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)))) b))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 1 binary64)) b))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) b) (/.f64 #s(literal 1/2 binary64) a)) b))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)))) b))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))))) b))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))))) b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64)) b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 1 binary64)) b))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) (/.f64 #s(literal -1/2 binary64) a))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) (-.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) b) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) a) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) #s(literal 1 binary64)) b))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) b) (/.f64 #s(literal 1 binary64) a)) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (neg.f64 b) (+.f64 (+.f64 (neg.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -2 binary64) (+.f64 (+.f64 (neg.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b))))))
#s(approx (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (neg.f64 (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (neg.f64 b) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 2 binary64))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 1 binary64))))
#s(approx (* (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) a) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) #s(literal 1 binary64))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) b)) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (-.f64 (/.f64 (neg.f64 (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) b)) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (*.f64 (*.f64 b b) b)))) c) (/.f64 #s(literal 1 binary64) b)) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (-.f64 (*.f64 (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 20 binary64)) c) (*.f64 b a)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 a (*.f64 (*.f64 b b) b)))) c) (/.f64 #s(literal 1 binary64) b)) c))
#s(approx c c)
#s(approx (neg c) (neg.f64 c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (*.f64 (*.f64 b b) b))))) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -4 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal 20 binary64)) c) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) (*.f64 (/.f64 a b) #s(literal -2 binary64))) c))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (*.f64 (*.f64 b b) b))))) c b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -4 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) c))
#s(approx (* (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) c) (*.f64 (*.f64 c c) (-.f64 (neg.f64 (/.f64 a (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) (*.f64 b c)))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (*.f64 (neg.f64 c) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b c)) (/.f64 a (*.f64 (*.f64 b b) b)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64)))) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 (neg.f64 b) c)) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 b c))) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 b c)))) c))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) c))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) c))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) c))
#s(approx (* (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) b) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))) c))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) (*.f64 (neg.f64 c) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 c a)) (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))) b))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) (*.f64 (+.f64 (/.f64 (neg.f64 b) (*.f64 c a)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -4 binary64)))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 b (*.f64 c a)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) #s(literal -1/128 binary64))) c))) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (*.f64 (neg.f64 c) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b c)) (neg.f64 (/.f64 a (*.f64 (*.f64 b b) b))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (neg.f64 c) (-.f64 (*.f64 (/.f64 b (*.f64 c a)) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b c))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) c)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal 1/4 binary64))) c)) b) c)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))))))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (neg.f64 (/.f64 (*.f64 b b) c)))))
#s(approx (* (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) b) (*.f64 (neg.f64 c) (fma.f64 (/.f64 b (*.f64 c a)) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64)))))))
#s(approx (- (neg (/ (sqrt (/ (neg c) a)) b)) (/ 1/2 a)) (*.f64 (neg.f64 c) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 c a)) (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))) b))))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal -2 binary64)))
#s(approx (+ (sqrt (* (/ c a) -4)) (/ (neg b) a)) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b (*.f64 c a)))))

eval26.0ms (0.6%)

Memory
30.3MiB live, 30.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 4 548 to 1 550 computations (65.9% saved)

prune42.0ms (1%)

Memory
-19.1MiB live, 26.8MiB allocated; 4ms collecting garbage
Pruning

18 alts after pruning (6 fresh and 12 done)

PrunedKeptTotal
New2661267
Fresh055
Picked055
Done077
Total26618284
Accuracy
99.5%
Counts
284 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.7%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b))) (+.f64 a a))
50.3%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
33.9%
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (+.f64 a a))
19.0%
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) (-.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) a)) (+.f64 a a))
22.9%
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 (neg.f64 b) a)) a)) (+.f64 a a))
29.3%
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (+.f64 a a))
22.9%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
27.8%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
34.9%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
34.8%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c))
34.2%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (neg.f64 (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b))) c))
32.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
20.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
22.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
14.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
31.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64)))) c)))
20.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)) (/.f64 #s(literal 1/2 binary64) a)) b)))
20.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
Compiler

Compiled 941 to 617 computations (34.4% saved)

regimes46.0ms (1.1%)

Memory
20.1MiB live, 65.3MiB allocated; 5ms collecting garbage
Counts
33 → 3
Calls
Call 1
Inputs
#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 (neg.f64 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (neg.f64 (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)) (/.f64 #s(literal 1/2 binary64) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) b)) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) b)) c))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 (neg.f64 b) a)) a)) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64)))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 b (*.f64 c a)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b))) (+.f64 a a))
(/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) (-.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) a)) (+.f64 a a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

4 calls:

19.0ms
a
9.0ms
c
9.0ms
b
8.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
77.5%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
56.1%3a
84.4%3b
53.4%2c
Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes10.0ms (0.2%)

Memory
-27.1MiB live, 18.1MiB allocated; 3ms collecting garbage
Counts
25 → 3
Calls
Call 1
Inputs
#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 (neg.f64 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (neg.f64 (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)) (/.f64 #s(literal 1/2 binary64) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) b)) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) b)) c))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
84.4%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.2%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Counts
24 → 3
Calls
Call 1
Inputs
#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 (neg.f64 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (neg.f64 (/.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)) (/.f64 #s(literal 1/2 binary64) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) b)) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) b)) c))
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 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
79.7%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Counts
14 → 3
Calls
Call 1
Inputs
#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 (neg.f64 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
79.5%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
Counts
8 → 4
Calls
Call 1
Inputs
#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 (neg.f64 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
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 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

2 calls:

3.0ms
b
2.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
64.7%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
73.4%4b
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes75.0ms (1.7%)

Memory
-78.6MiB live, 4.3MiB allocated; 103ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
#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 (neg.f64 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
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)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

74.0ms
b
Results
AccuracySegmentsBranch
71.8%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0.1%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#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 (neg.f64 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 #s(approx (- (neg (/ (* c a) (* (* b b) b))) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)) 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 (neg.f64 c) b))
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
64.9%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#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 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
32.5%1c
32.5%1a
32.5%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
32.5%1b
Compiler

Compiled 17 to 23 computations (-35.3% saved)

bsearch49.0ms (1.1%)

Memory
25.6MiB live, 75.0MiB allocated; 12ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
1.981225408424615e-125
1.4014888302404478e-116
22.0ms
-5.903987658281327e+158
-7.263814222561728e+134
Samples
22.0ms279×0valid
3.0ms30×1valid
3.0ms41×0invalid
2.0ms11×2valid
Compiler

Compiled 640 to 680 computations (-6.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sqrt: 8.0ms (38.4% of total)
ival-mult!: 6.0ms (28.8% of total)
ival-neg: 2.0ms (9.6% of total)
ival-div!: 2.0ms (9.6% of total)
adjust: 1.0ms (4.8% of total)
ival-sub!: 1.0ms (4.8% of total)
ival-add!: 1.0ms (4.8% of total)

bsearch2.0ms (0.1%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.981225408424615e-125
1.4014888302404478e-116
1.0ms
-5.903987658281327e+158
-7.263814222561728e+134
Compiler

Compiled 600 to 640 computations (-6.7% saved)

bsearch75.0ms (1.7%)

Memory
-10.6MiB live, 33.0MiB allocated; 12ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.981225408424615e-125
1.4014888302404478e-116
72.0ms
-3.9553015282878204e-108
-1.5611848374139028e-115
Samples
9.0ms144×0valid
3.0ms43×0invalid
Compiler

Compiled 632 to 668 computations (-5.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult!: 3.0ms (42.4% of total)
ival-sqrt: 1.0ms (14.1% of total)
ival-neg: 1.0ms (14.1% of total)
ival-div!: 1.0ms (14.1% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch11.0ms (0.3%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.981225408424615e-125
1.4014888302404478e-116
9.0ms
-3.9553015282878204e-108
-1.5611848374139028e-115
Samples
4.0ms64×0valid
1.0ms20×0invalid
Compiler

Compiled 650 to 686 computations (-5.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sqrt: 1.0ms (32% of total)
ival-mult!: 1.0ms (32% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch71.0ms (1.7%)

Memory
-3.1MiB live, 43.7MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
2.0961508664871778e-170
5.7757668152614014e-167
38.0ms
-1.6634203694912055e-209
-1.4617468125545563e-210
9.0ms
-7.0427474728544675e-149
-4.380411456032603e-149
Samples
42.0ms262×0valid
7.0ms115×0invalid
3.0ms26×1valid
Compiler

Compiled 840 to 876 computations (-4.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-sqrt: 28.0ms (67.5% of total)
ival-mult!: 7.0ms (16.9% of total)
ival-div!: 2.0ms (4.8% of total)
ival-neg: 2.0ms (4.8% of total)
adjust: 1.0ms (2.4% of total)
ival-sub!: 1.0ms (2.4% of total)
ival-add!: 1.0ms (2.4% of total)

bsearch36.0ms (0.8%)

Memory
-20.8MiB live, 30.1MiB allocated; 11ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.0961508664871778e-170
5.7757668152614014e-167
33.0ms
-8.434329893759777e-147
-7.0427474728544675e-149
Samples
24.0ms112×0valid
3.0ms49×0invalid
Compiler

Compiled 710 to 740 computations (-4.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div!: 18.0ms (77.5% of total)
ival-mult!: 3.0ms (12.9% of total)
ival-sqrt: 1.0ms (4.3% of total)
ival-neg: 1.0ms (4.3% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch63.0ms (1.5%)

Memory
-12.9MiB live, 33.5MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
61.0ms
-3.2425162254091363e-308
5.123034100100843e-307
Samples
52.0ms112×0valid
3.0ms51×0invalid
Compiler

Compiled 258 to 272 computations (-5.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult!: 3.0ms (49.6% of total)
ival-sqrt: 1.0ms (16.5% of total)
ival-neg: 1.0ms (16.5% of total)
ival-div!: 1.0ms (16.5% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations86.0ms (2%)

Memory
24.8MiB live, 111.0MiB allocated; 19ms collecting garbage
Stop Event
fuel
Compiler

Compiled 153 to 103 computations (32.7% saved)

preprocess115.0ms (2.7%)

Memory
-16.8MiB live, 267.0MiB allocated; 46ms collecting garbage
Compiler

Compiled 197 to 138 computations (29.9% saved)

end0.0ms (0%)

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

Profiling

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