Quadratic roots, full range

Time bar (total: 4.1s)

start0.0ms (0%)

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

analyze131.0ms (3.2%)

Memory
20.6MiB live, 298.2MiB allocated; 33ms collecting garbage
Algorithm
1×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)

sample2.4s (58.7%)

Memory
-83.3MiB live, 2 766.7MiB allocated; 1.9s collecting garbage
Samples
1.5s5 530×0valid
252.0ms1 173×2valid
194.0ms1 346×1valid
79.0ms975×0invalid
42.0ms207×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-mult!: 1.3s (72.8% of total)
ival-sqrt: 155.0ms (9% of total)
adjust: 89.0ms (5.2% of total)
ival-div!: 80.0ms (4.6% of total)
ival-neg: 67.0ms (3.9% of total)
ival-add!: 46.0ms (2.7% of total)
ival-sub!: 30.0ms (1.7% of total)
Bogosity

preprocess64.0ms (1.6%)

Memory
9.4MiB live, 52.3MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058175
1270160
21060160
34188160
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶48.5%
(/.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))
Compiler

Compiled 28 to 28 computations (0% saved)

series27.0ms (0.7%)

Memory
38.9MiB live, 38.9MiB allocated; 0ms 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
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)
4.0ms
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)
3.0ms
a
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* b b) (* (* 4 a) c) (* 4 a) 4 a c (* 2 a) 2)

rewrite120.0ms (2.9%)

Memory
-16.6MiB live, 178.2MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06654487
06794208
026523979
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
117 → 159
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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 a a)))
(/.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)))
(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 (neg.f64 b) (neg.f64 (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)))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))
(neg.f64 (-.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) (*.f64 b b)))
(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) (neg.f64 (*.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) (neg.f64 (*.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 (neg.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c)))
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (neg.f64 (*.f64 b b)))
(-.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) (neg.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c)))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(fabs.f64 (*.f64 b b))
(*.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 (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #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)))) a (/.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 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #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 (- (* 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 (pow.f64 b #s(literal 4 binary64)) (*.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 (pow.f64 b #s(literal 4 binary64)) (*.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 (pow.f64 b #s(literal 4 binary64)) (*.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 (pow.f64 b #s(literal 4 binary64)) (*.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 (pow.f64 b #s(literal 6 binary64)) (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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)) (pow.f64 b #s(literal 4 binary64))) (*.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)) (pow.f64 b #s(literal 4 binary64))) (*.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)) (pow.f64 b #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 -1/64 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)) (pow.f64 b #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 -1/64 binary64) (fma.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 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 1/4 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (fma.f64 b (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 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))) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.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)) (pow.f64 b #s(literal 4 binary64))) #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)) (pow.f64 b #s(literal 4 binary64))) #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 (pow.f64 b #s(literal 6 binary64)) 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)) (pow.f64 b #s(literal 4 binary64))) #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)) (pow.f64 b #s(literal 4 binary64))) #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))) (pow.f64 b #s(literal 6 binary64))))) 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)) (pow.f64 b #s(literal 4 binary64)))) #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)) (pow.f64 b #s(literal 6 binary64))) #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)) (pow.f64 b #s(literal 4 binary64)))))) #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)) (neg.f64 (fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64)))) (/.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)) (pow.f64 b #s(literal 6 binary64))) #s(literal -2 binary64) (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64)))) (/.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)) (pow.f64 b #s(literal 4 binary64)))) #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)) (pow.f64 b #s(literal 6 binary64))) #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)) (pow.f64 b #s(literal 4 binary64)))))) #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)) (pow.f64 b #s(literal 4 binary64)))) #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)) (pow.f64 b #s(literal 6 binary64))) #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)) (pow.f64 b #s(literal 4 binary64)))))) #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 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #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 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/16 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 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.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 1/2 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 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.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 1/2 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 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 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 (pow.f64 b #s(literal 6 binary64)) (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 (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 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 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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)) (pow.f64 b #s(literal 4 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 (- (* 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)) (pow.f64 b #s(literal 4 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 (- (* 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)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 #s(literal 1/512 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 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
-2.8MiB live, 42.8MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 707 to 889 computations (67.2% saved)

prune10.0ms (0.2%)

Memory
20.9MiB live, 20.9MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New13514149
Fresh000
Picked101
Done000
Total13614150
Accuracy
100.0%
Counts
150 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶48.6%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
32.1%
(/.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))
▶9.5%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 #s(literal 2 binary64) a))
▶20.3%
(/.f64 #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)) (*.f64 #s(literal 2 binary64) a))
19.5%
(/.f64 #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)))) (*.f64 #s(literal 2 binary64) a))
26.0%
(/.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))
48.1%
(+.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)))
18.3%
#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))))))
37.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
▶36.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
14.8%
#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)))
28.7%
#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))))))
▶36.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a))))
15.6%
#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 540 to 536 computations (0.7% saved)

series60.0ms (1.5%)

Memory
-13.7MiB live, 86.8MiB allocated; 9ms collecting garbage
Counts
33 → 136
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)
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a))))
(neg.f64 (fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a)))
(fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a))
(/.f64 (neg.f64 c) (*.f64 b b))
(neg.f64 c)
(/.f64 b a)
(/.f64 #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)) (*.f64 #s(literal 2 binary64) a))
#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))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 (neg.f64 b) c)) c)
(+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 (neg.f64 b) c))
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))
(*.f64 (/.f64 a c) #s(literal -4 binary64))
(/.f64 a c)
(/.f64 (neg.f64 b) 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 (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ (- (/ (* a c) b) b) a)))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (/ b a)))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (/ (+ b (* -1 (/ (* a c) b))) a)))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4))))
#s(approx (* (/ a c) -4) #s(hole binary64 (* -4 (/ a c))))
#s(approx (/ a c) #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 (+ (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 (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ c b)))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (- (* -1 (/ b a)) (* -1 (/ c b)))))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (+ (* -1 (/ c b)) (/ b a))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* a (+ (* -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 (* (sqrt (/ c a)) (sqrt -1)))))
#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 (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* -2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c)))))))
#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 (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b)))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (/ (+ (* -1 c) (/ (pow b 2) a)) b)))
#s(approx (/ (neg c) (* b b)) #s(hole binary64 (* -1 (/ c (pow b 2)))))
#s(approx (/ (neg b) c) #s(hole binary64 (* -1 (/ b c))))
#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 (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a)))))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* b (- (* (sqrt (/ a c)) (/ (sqrt -4) b)) (/ 1 c)))))
#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 (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* -1 (* b (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (/ 1 c))))))
#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 (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (- (/ c b) (/ b a))))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) c)))
#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 (- (+ (* 1/2 (* (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 (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (* c (- (/ b (* a c)) (/ 1 b)))))
#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 (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b))))))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* 2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
Calls

9 calls:

TimeVariablePointExpression
24.0ms
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)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (+ (* b (/ (neg c) (* b b))) (/ b a)) (/ (neg c) (* b b)) (neg c) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (sqrt (* (/ a c) -4)) (* (/ a c) -4) (/ a c) (/ (neg b) c))
5.0ms
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)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (+ (* b (/ (neg c) (* b b))) (/ b a)) (/ (neg c) (* b b)) (neg c) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (sqrt (* (/ a c) -4)) (* (/ a c) -4) (/ a c) (/ (neg b) c))
4.0ms
c
@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)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (+ (* b (/ (neg c) (* b b))) (/ b a)) (/ (neg c) (* b b)) (neg c) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (sqrt (* (/ a c) -4)) (* (/ a c) -4) (/ a c) (/ (neg b) c))
4.0ms
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)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (+ (* b (/ (neg c) (* b b))) (/ b a)) (/ (neg c) (* b b)) (neg c) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (sqrt (* (/ a c) -4)) (* (/ a c) -4) (/ a c) (/ (neg b) c))
4.0ms
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)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (+ (* b (/ (neg c) (* b b))) (/ b a)) (/ (neg c) (* b b)) (neg c) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (sqrt (* (/ a c) -4)) (* (/ a c) -4) (/ a c) (/ (neg b) c))

rewrite146.0ms (3.6%)

Memory
-18.0MiB live, 195.1MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07845361
08244978
031054843
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
169 → 272
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)
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a))))
(neg.f64 (fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a)))
(fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a))
(/.f64 (neg.f64 c) (*.f64 b b))
(neg.f64 c)
(/.f64 b a)
(/.f64 #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)) (*.f64 #s(literal 2 binary64) a))
#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))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 (neg.f64 b) c)) c)
(+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 (neg.f64 b) c))
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))
(*.f64 (/.f64 a c) #s(literal -4 binary64))
(/.f64 a c)
(/.f64 (neg.f64 b) 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 (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ (- (/ (* a c) b) b) a)))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (/ b a)))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (/ (+ b (* -1 (/ (* a c) b))) a)))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4))))
#s(approx (* (/ a c) -4) #s(hole binary64 (* -4 (/ a c))))
#s(approx (/ a c) #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 (+ (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 (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ c b)))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (- (* -1 (/ b a)) (* -1 (/ c b)))))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (+ (* -1 (/ c b)) (/ b a))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* a (+ (* -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 (* (sqrt (/ c a)) (sqrt -1)))))
#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 (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* -2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c)))))))
#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 (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b)))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (/ (+ (* -1 c) (/ (pow b 2) a)) b)))
#s(approx (/ (neg c) (* b b)) #s(hole binary64 (* -1 (/ c (pow b 2)))))
#s(approx (/ (neg b) c) #s(hole binary64 (* -1 (/ b c))))
#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 (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a)))))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* b (- (* (sqrt (/ a c)) (/ (sqrt -4) b)) (/ 1 c)))))
#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 (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* -1 (* b (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (/ 1 c))))))
#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 (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (- (/ c b) (/ b a))))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) c)))
#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 (- (+ (* 1/2 (* (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 (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (* c (- (/ b (* a c)) (/ 1 b)))))
#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 (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b))))))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* 2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
Outputs
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) (/.f64 #s(literal 1 binary64) (+.f64 a a)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) (neg.f64 (+.f64 a a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) 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)))
(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 (neg.f64 b)))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)
(+.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)))
(fabs.f64 (sqrt.f64 (fma.f64 b b (*.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 (*.f64 a #s(literal -4 binary64)) c) (neg.f64 (*.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 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(fabs.f64 (*.f64 b b))
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 a (neg.f64 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 b) (/.f64 #s(literal 1 binary64) a))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(*.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 a a)))
(/.f64 (/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b) (neg.f64 b)) #s(literal 2 binary64)) a)
(/.f64 (neg.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b) (neg.f64 b))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b) (neg.f64 b)) (+.f64 a a))
(+.f64 (/.f64 (neg.f64 b) (+.f64 a a)) (/.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b) (+.f64 a a)))
(fma.f64 #s(literal -1 binary64) b #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b))
(fma.f64 b #s(literal -1 binary64) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b))
(-.f64 (neg.f64 b) (neg.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)))
(+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b) (neg.f64 b))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(-.f64 a (neg.f64 a))
(+.f64 a a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(*.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))
(*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)))
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))
(-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b)) (/.f64 b a))
(+.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b)) (/.f64 (neg.f64 b) a))
(*.f64 (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)
(*.f64 b (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (*.f64 (/.f64 #s(literal 1 binary64) a) b))
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))
(fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
(fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a))
(fma.f64 b (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b))
(-.f64 (*.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b) (/.f64 (neg.f64 b) a))
(+.f64 (*.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
(+.f64 (*.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b) (/.f64 b a))
(+.f64 (/.f64 b a) (*.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b))
(*.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c (*.f64 b b)))
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (*.f64 b b)))
(/.f64 (/.f64 (neg.f64 c) b) b)
(/.f64 (neg.f64 c) (*.f64 b b))
(neg.f64 (/.f64 c (*.f64 b b)))
(*.f64 #s(literal -1 binary64) c)
(*.f64 c #s(literal -1 binary64))
(neg.f64 c)
(*.f64 b (/.f64 #s(literal 1 binary64) a))
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 b a)
(*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (/.f64 #s(literal 1 binary64) (+.f64 a a)))
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) #s(literal 2 binary64)) a)
(/.f64 (neg.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))) (neg.f64 (+.f64 a a)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (+.f64 a a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
(*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)
(*.f64 c (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))
(fma.f64 (/.f64 (neg.f64 b) c) c (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c))
(fma.f64 c (/.f64 (neg.f64 b) c) (*.f64 c (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))
(+.f64 (*.f64 c (/.f64 (neg.f64 b) c)) (*.f64 c (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))
(+.f64 (*.f64 (/.f64 (neg.f64 b) c) c) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c))
(fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 (neg.f64 b) c))
(fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c))
(fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
(-.f64 (/.f64 (neg.f64 b) c) (*.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))
(-.f64 (/.f64 (neg.f64 b) c) (neg.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))
(-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (neg.f64 (/.f64 (neg.f64 b) c)))
(+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
(+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 (neg.f64 b) c))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))
(*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))
(fabs.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
(*.f64 (/.f64 a c) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 a c))
(/.f64 (*.f64 a #s(literal -4 binary64)) c)
(*.f64 a (/.f64 #s(literal 1 binary64) c))
(/.f64 (neg.f64 a) (neg.f64 c))
(/.f64 a c)
(*.f64 (/.f64 b c) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) c))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 c))
(/.f64 (neg.f64 b) c)
(neg.f64 (/.f64 b c))
#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 (neg.f64 (/.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 (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #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)))) a (/.f64 (neg.f64 c) b)))
#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 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #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 (*.f64 a #s(literal -4 binary64)) c)))
#s(approx (* -4 a) (*.f64 a #s(literal -4 binary64)))
#s(approx a a)
#s(approx (+ a a) (+.f64 a a))
#s(approx (/ (neg b) a) (/.f64 (neg.f64 b) a))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) (/.f64 b a))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) (/.f64 (+.f64 (neg.f64 (*.f64 a (/.f64 c b))) b) a))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))
#s(approx (sqrt (* (/ a c) -4)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
#s(approx (* (/ a c) -4) (*.f64 (/.f64 a c) #s(literal -4 binary64)))
#s(approx (/ a c) (/.f64 a c))
#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 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a 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 (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.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 (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
#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))
#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 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 (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.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 (+ (* (* -4 a) c) (* b b))) (*.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 (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.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 (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.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 (pow.f64 b #s(literal 6 binary64)) (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 (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)) a))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b)))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) (+.f64 (/.f64 b a) (/.f64 (neg.f64 c) b)))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -4 binary64))) (/.f64 (neg.f64 b) (*.f64 c a))) a))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a 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 (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+.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 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 (/ (+ (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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (/.f64 a c))) #s(literal -1/8 binary64))) a))) a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#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 (/.f64 c a) #s(literal -1 binary64))) #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 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) a))) a)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (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)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (/.f64 a c))) #s(literal 1/4 binary64))) a)) b) a))) a)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (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 (+ (* (* -4 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #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 -1/64 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 (+ (* (* -4 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #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 -1/64 binary64) (fma.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 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 1/4 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 (+ (* (* -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 (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -2 binary64)))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (neg.f64 (*.f64 (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))) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (fma.f64 b (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 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))) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.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 (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) a)) (neg.f64 c)) b))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) (/.f64 (+.f64 (/.f64 (*.f64 b b) a) (neg.f64 c)) b))
#s(approx (/ (neg c) (* b b)) (/.f64 (neg.f64 c) (*.f64 b b)))
#s(approx (/ (neg b) c) (/.f64 (neg.f64 b) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))) (neg.f64 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)) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (neg.f64 c)) (neg.f64 (/.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)) (pow.f64 b #s(literal 4 binary64))) #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 (pow.f64 b #s(literal 6 binary64)) a)) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) 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)) (pow.f64 b #s(literal 4 binary64))) #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)) (pow.f64 b #s(literal 4 binary64))) #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))) (pow.f64 b #s(literal 6 binary64))))) 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)) (pow.f64 b #s(literal 4 binary64)))) #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)) (pow.f64 b #s(literal 6 binary64))) #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)) (pow.f64 b #s(literal 4 binary64)))))) #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 (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) b) #s(literal 1 binary64)) b))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) b) (/.f64 #s(literal 1 binary64) c)) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (*.f64 (neg.f64 b) (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64)))) (/.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)) (pow.f64 b #s(literal 6 binary64))) #s(literal -2 binary64) (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64)))) (/.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)) (pow.f64 b #s(literal 4 binary64)))) #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)) (pow.f64 b #s(literal 6 binary64))) #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)) (pow.f64 b #s(literal 4 binary64)))))) #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)) (pow.f64 b #s(literal 4 binary64)))) #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)) (pow.f64 b #s(literal 6 binary64))) #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)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 1 binary64))))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) b)) #s(literal 1 binary64))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (neg.f64 (fma.f64 b (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) b)) (/.f64 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))
#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 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #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 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #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 (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (neg c) (neg.f64 c))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (neg.f64 b)) 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/16 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 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/2 binary64) (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 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64))))) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/2 binary64) (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 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64))))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) c))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 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 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/2 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 (+ (* b (/ (neg c) (* b b))) (/ b a))) (fma.f64 c (/.f64 (neg.f64 b) (*.f64 c a)) (/.f64 c b)))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) (*.f64 (-.f64 (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1 binary64) b)) 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 (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 #s(literal 1/512 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 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 (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 (neg.f64 c) (-.f64 (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1 binary64) b))))
#s(approx (+ (* b (/ (neg c) (* b b))) (/ b a)) (neg.f64 (fma.f64 c (/.f64 (neg.f64 b) (*.f64 c a)) (/.f64 c b))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) 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 (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (neg.f64 b) c)))

eval32.0ms (0.8%)

Memory
-4.5MiB live, 88.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 3 872 to 1 345 computations (65.3% saved)

prune17.0ms (0.4%)

Memory
-8.7MiB live, 43.2MiB allocated; 2ms collecting garbage
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New25017267
Fresh909
Picked415
Done000
Total26318281
Accuracy
100.0%
Counts
281 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶48.5%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) (+.f64 a a))
32.1%
(/.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))
9.5%
(/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b) (neg.f64 b)) (+.f64 a a))
▶26.0%
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (+.f64 a a))
31.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (neg.f64 b)) c)) c)) (*.f64 #s(literal 2 binary64) a))
▶12.8%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
11.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -2 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
48.1%
(+.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)))
18.3%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
37.9%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
14.8%
#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)))
28.7%
#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))))))
15.6%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
✓36.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
36.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)))
36.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
▶9.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b)))
▶36.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
Compiler

Compiled 743 to 727 computations (2.2% saved)

series39.0ms (1%)

Memory
19.0MiB live, 112.8MiB allocated; 3ms collecting garbage
Counts
32 → 131
Calls
Call 1
Inputs
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) (+.f64 a a))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
(fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))
b
(*.f64 (*.f64 a #s(literal -4 binary64)) c)
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
c
(+.f64 a a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b)))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b))
(/.f64 c b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.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 (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
(sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))) c))
(*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))) c)
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))
(*.f64 (/.f64 a c) #s(literal -1 binary64))
(/.f64 a c)
#s(literal -1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) a)
Outputs
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) #s(hole binary64 b))
#s(approx (sqrt (+ (* b b) (* (* a -4) c))) #s(hole binary64 (+ b (* -2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* b b) (* (* a -4) c))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* b b) (* (* a -4) 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) (* (* a -4) c)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) (* (* a -4) c)) #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 #s(hole binary64 a))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* -1 (/ b a))))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ (- (/ (* a c) b) b) a)))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (sqrt (* (* a -4) c)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))
#s(approx (* (sqrt (* (/ a c) -1)) 2) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (sqrt (* (/ a c) -1)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (* (/ a c) -1) #s(hole binary64 (* -1 (/ a c))))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) 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) (* (* a -4) 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) (* (* a -4) 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) (* (* a -4) c)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a)))))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ c b)))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (- (* -1 (/ b a)) (* -1 (/ c b)))))
#s(approx (- (/ c b) (/ b a)) #s(hole binary64 (+ (* -1 (/ b a)) (/ c b))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* a (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) 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) (* (* a -4) 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) (* (* a -4) 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) (* (* a -4) c)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* -2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c)))))))
#s(approx (sqrt (* (/ a c) -1)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) 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) (* (* a -4) 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) (* (* a -4) 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 (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b)))
#s(approx (- (/ c b) (/ b a)) #s(hole binary64 (/ (+ c (* -1 (/ (pow b 2) a))) b)))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* b b) (* (* a -4) 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) (* (* a -4) 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) (* (* a -4) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a)))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* -1 b)))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* -1 (/ b c))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* b (- (* (sqrt (/ a c)) (/ (sqrt -4) b)) (/ 1 c)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -2 b)))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* b b) (* (* a -4) 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) (* (* a -4) 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 (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* -1 (* b (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (/ 1 c))))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* b b) (* (* a -4) 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 (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (- (/ c b) (/ b a))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) c)))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) 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) (* (* a -4) 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) (* (* a -4) 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) (* (* a -4) c)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c)))))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) 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) (* (* a -4) 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) (* (* a -4) 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) (* (* a -4) c)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b))))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* 2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
b
@0
((/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt (+ (* b b) (* (* a -4) c))) (+ (* b b) (* (* a -4) c)) b (* (* a -4) c) (* a -4) a -4 c (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (- (/ c b) (/ b a)) (/ b a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (* (* a -4) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (* (sqrt (* (/ a c) -1)) 2) (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c) -1 2 (* 2 a))
5.0ms
a
@inf
((/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt (+ (* b b) (* (* a -4) c))) (+ (* b b) (* (* a -4) c)) b (* (* a -4) c) (* a -4) a -4 c (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (- (/ c b) (/ b a)) (/ b a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (* (* a -4) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (* (sqrt (* (/ a c) -1)) 2) (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c) -1 2 (* 2 a))
4.0ms
a
@-inf
((/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt (+ (* b b) (* (* a -4) c))) (+ (* b b) (* (* a -4) c)) b (* (* a -4) c) (* a -4) a -4 c (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (- (/ c b) (/ b a)) (/ b a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (* (* a -4) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (* (sqrt (* (/ a c) -1)) 2) (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c) -1 2 (* 2 a))
4.0ms
a
@0
((/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt (+ (* b b) (* (* a -4) c))) (+ (* b b) (* (* a -4) c)) b (* (* a -4) c) (* a -4) a -4 c (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (- (/ c b) (/ b a)) (/ b a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (* (* a -4) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (* (sqrt (* (/ a c) -1)) 2) (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c) -1 2 (* 2 a))
4.0ms
b
@-inf
((/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt (+ (* b b) (* (* a -4) c))) (+ (* b b) (* (* a -4) c)) b (* (* a -4) c) (* a -4) a -4 c (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (- (/ c b) (/ b a)) (/ b a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (* (* a -4) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (* (sqrt (* (/ a c) -1)) 2) (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c) -1 2 (* 2 a))

rewrite113.0ms (2.8%)

Memory
-23.4MiB live, 210.6MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07815280
08074933
030944785
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
163 → 243
Calls
Call 1
Inputs
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) (+.f64 a a))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b)
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
(fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))
b
(*.f64 (*.f64 a #s(literal -4 binary64)) c)
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
c
(+.f64 a a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b)))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b))
(/.f64 c b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.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 (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
(sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))) c))
(*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))) c)
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))
(*.f64 (/.f64 a c) #s(literal -1 binary64))
(/.f64 a c)
#s(literal -1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) #s(hole binary64 b))
#s(approx (sqrt (+ (* b b) (* (* a -4) c))) #s(hole binary64 (+ b (* -2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* b b) (* (* a -4) c))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* b b) (* (* a -4) 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) (* (* a -4) c)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) (* (* a -4) c)) #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 #s(hole binary64 a))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* -1 (/ b a))))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ (- (/ (* a c) b) b) a)))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (sqrt (* (* a -4) c)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))
#s(approx (* (sqrt (* (/ a c) -1)) 2) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (sqrt (* (/ a c) -1)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (* (/ a c) -1) #s(hole binary64 (* -1 (/ a c))))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) 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) (* (* a -4) 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) (* (* a -4) 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) (* (* a -4) c)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a)))))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ c b)))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (- (* -1 (/ b a)) (* -1 (/ c b)))))
#s(approx (- (/ c b) (/ b a)) #s(hole binary64 (+ (* -1 (/ b a)) (/ c b))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* a (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) 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) (* (* a -4) 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) (* (* a -4) 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) (* (* a -4) c)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* -2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c)))))))
#s(approx (sqrt (* (/ a c) -1)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) 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) (* (* a -4) 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) (* (* a -4) 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 (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b)))
#s(approx (- (/ c b) (/ b a)) #s(hole binary64 (/ (+ c (* -1 (/ (pow b 2) a))) b)))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* b b) (* (* a -4) 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) (* (* a -4) 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) (* (* a -4) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a)))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* -1 b)))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* -1 (/ b c))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* b (- (* (sqrt (/ a c)) (/ (sqrt -4) b)) (/ 1 c)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -2 b)))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* b b) (* (* a -4) 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) (* (* a -4) 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 (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* -1 (* b (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (/ 1 c))))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* b b) (* (* a -4) 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 (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (- (/ c b) (/ b a))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) c)))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) 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) (* (* a -4) 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) (* (* a -4) 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) (* (* a -4) c)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c)))))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) 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) (* (* a -4) 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) (* (* a -4) 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) (* (* a -4) c)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b))))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* 2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
Outputs
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b) (/.f64 #s(literal 1 binary64) (+.f64 a a)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b)) (neg.f64 (+.f64 a a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b) (+.f64 a a))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (+.f64 a a)) (/.f64 b (+.f64 a a)))
(neg.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (neg.f64 (neg.f64 b)))
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#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (/.f64 a c))) #s(literal -1/8 binary64))) a))) a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64)))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (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 (- (sqrt (+ (* b b) (* (* a -4) c))) b) (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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) a))) a)))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (/.f64 a c))) #s(literal 1/4 binary64))) a)) b) a))) a)))
#s(approx (sqrt (+ (* b b) (* (* a -4) 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) (* (* a -4) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (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 #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) (* (* a -4) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (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 #s(literal 1/512 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 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 1/4 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) (* (* a -4) c)) (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a)))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal -2 binary64)))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (neg.f64 (*.f64 (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))) a)))
#s(approx (sqrt (* (/ a c) -1)) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 a c)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 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 (+ (* b b) (* (* a -4) c))) b) (+.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c)) (neg.f64 b)))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal -1 binary64)) b (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (fma.f64 b (fma.f64 b (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 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))) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))))
#s(approx (sqrt (+ (* b b) (* (* a -4) c))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))))
#s(approx (sqrt (+ (* b b) (* (* a -4) c))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 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 #s(literal -4 binary64) a) c))))
#s(approx (sqrt (+ (* b b) (* (* a -4) c))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.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 #s(literal -4 binary64) a) c))))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) a)) (neg.f64 c)) b))
#s(approx (- (/ c b) (/ b a)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 b b) a)) c) b))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))) (neg.f64 c)) b))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (neg.f64 c)) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 4 binary64))) #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 (pow.f64 b #s(literal 6 binary64)) a)) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 4 binary64))) #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 (+ (* b b) (* (* a -4) c))) b) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 4 binary64))) #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))) (pow.f64 b #s(literal 6 binary64))))) b))
#s(approx (sqrt (+ (* b b) (* (* a -4) 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) (* (* a -4) c))) (*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) b))
#s(approx (sqrt (+ (* b b) (* (* a -4) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #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)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 1 binary64)) b))
#s(approx (+ (* b b) (* (* a -4) 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 (/ (neg c) (* b b))) (/ b a))) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (neg.f64 b))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c)) b) #s(literal 1 binary64)) b))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (/.f64 (neg.f64 b) c))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) b) (/.f64 #s(literal 1 binary64) c)) b))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (*.f64 (neg.f64 b) (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -2 binary64) (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (*.f64 #s(literal -2 binary64) b))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #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)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* b b) (* (* a -4) 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) (* (* a -4) 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)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* b b) (* (* a -4) c))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #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)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 1 binary64))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c)) b)) #s(literal 1 binary64))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (neg.f64 (fma.f64 b (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) b)) (/.f64 b c))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) (+ a a)) (*.f64 (-.f64 (*.f64 (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #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 (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) (*.f64 (fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #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) (* (* a -4) 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) (* (* a -4) 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 (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c)) (neg.f64 b)) c))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) (+ a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/16 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 (+ (* b b) (* (* a -4) c))) 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 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64))))) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c))) c))
#s(approx (sqrt (+ (* b b) (* (* a -4) 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 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (sqrt (+ (* b b) (* (* a -4) c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64))))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) c))
#s(approx (sqrt (+ (* b b) (* (* a -4) c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 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 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) c))
#s(approx (+ (* b b) (* (* a -4) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (fma.f64 c (/.f64 (neg.f64 b) (*.f64 c a)) (/.f64 c b)))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 #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 (+ (* b b) (* (* a -4) c))) 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 (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (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 (+ (* b b) (* (* a -4) c))) b) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal 2 binary64) (/.f64 b c))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) c)))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #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 (pow.f64 b #s(literal 4 binary64)) (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 (+ (* b b) (* (* a -4) c))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* b b) (* (* a -4) 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* b b) (* (* a -4) 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/64 binary64) (fma.f64 #s(literal 1/512 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal 2 binary64)))))))
#s(approx (+ (* b b) (* (* a -4) c)) (*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (neg.f64 (/.f64 (*.f64 b b) c)))))
#s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 (neg.f64 c) (-.f64 (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1 binary64) b))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal -2 binary64) (/.f64 b c))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (fma.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal 2 binary64) (/.f64 (neg.f64 b) c)))

eval44.0ms (1.1%)

Memory
13.2MiB live, 105.3MiB allocated; 18ms collecting garbage
Compiler

Compiled 3 602 to 1 262 computations (65% saved)

prune15.0ms (0.4%)

Memory
-9.4MiB live, 39.1MiB allocated; 1ms collecting garbage
Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New22712239
Fresh8412
Picked145
Done011
Total23621257
Accuracy
100.0%
Counts
257 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓48.5%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) (+.f64 a a))
▶9.5%
(/.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* (* a -4) c))) b) b) (+.f64 a a))
32.1%
(/.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))
✓26.0%
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (+.f64 a a))
31.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (neg.f64 b)) c)) c)) (*.f64 #s(literal 2 binary64) a))
▶11.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal -2 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
12.8%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a))
16.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
▶48.1%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (+.f64 a a)) (/.f64 b (+.f64 a a)))
▶26.0%
(*.f64 #s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal 1 binary64) (+.f64 a a)))
18.3%
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
▶37.9%
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (/.f64 (neg.f64 c) b))
14.8%
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
28.7%
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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))))))
15.6%
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
✓36.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
36.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)))
36.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
✓9.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b)))
✓36.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
9.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 c (/.f64 #s(literal 1 binary64) b))))
Compiler

Compiled 786 to 768 computations (2.3% saved)

series53.0ms (1.3%)

Memory
-7.5MiB live, 92.0MiB allocated; 21ms collecting garbage
Counts
34 → 158
Calls
Call 1
Inputs
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (+.f64 a a)) (/.f64 b (+.f64 a a)))
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (+.f64 a a))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))
b
(*.f64 (*.f64 #s(literal -4 binary64) a) c)
(*.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
a
c
(+.f64 a a)
(/.f64 b (+.f64 a a))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
(/.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* (* a -4) c))) b) b) (+.f64 a a))
(-.f64 #s(approx (sqrt (+ (* b b) (* (* a -4) c))) b) b)
#s(approx (sqrt (+ (* b b) (* (* a -4) c))) b)
(*.f64 #s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal 1 binary64) (+.f64 a a)))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c)))
(sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))
(/.f64 #s(literal 1 binary64) (+.f64 a a))
#s(literal 1 binary64)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal -2 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal -2 binary64))) c))
(*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal -2 binary64))) c)
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal -2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal -2 binary64))
(sqrt.f64 (neg.f64 (/.f64 a c)))
(neg.f64 (/.f64 a c))
(/.f64 a c)
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* -1 (/ c b))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* 1/2 (/ b a))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (/ (+ (* -1 (/ (* a c) b)) (* 1/2 b)) a)))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)))
#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 (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (/ 1 (+ a a)) #s(hole binary64 (/ 1/2 a)))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))
#s(approx (* (sqrt (neg (/ a c))) -2) #s(hole binary64 (* -2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (sqrt (neg (/ a c))) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (neg (/ a c)) #s(hole binary64 (* -1 (/ a c))))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (- (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (* 1/2 (/ b a)))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (- (+ (* -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))))) (* 1/2 (/ b a)))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* -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 (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#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 (* a (+ (* -4 c) (/ (pow b 2) a)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* a (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))))
#s(approx (sqrt (+ (* b b) (* (* -4 a) c))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (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 (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c)))))))
#s(approx (* (sqrt (neg (/ a c))) -2) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (sqrt (neg (/ a c))) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -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)))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))))
#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 (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))))))
#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 (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* -1 b)))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* -1 (/ b c))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* b (- (* (sqrt (/ a c)) (/ (sqrt -4) b)) (/ 1 c)))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* -1 (/ b a))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* -1/2 (/ b a))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ 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))) (* 1/2 (/ 1 a)))))))))
#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 (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -2 b)))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* -1 (* b (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (/ 1 c))))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* 1/2 (/ b a)))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 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 c) #s(hole binary64 (* -1 c)))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) c)))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* c (- (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))) (* 1/2 (/ b (* a c)))))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* 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))))) (* 1/2 (/ b (* a c)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 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 (+ (* 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 (+ (* -4 a) (/ (pow b 2) c)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* 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))))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* 2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
Calls

9 calls:

TimeVariablePointExpression
18.0ms
c
@-inf
((- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (sqrt (+ (* b b) (* (* -4 a) c))) (+ (* b b) (* (* -4 a) c)) b (* (* -4 a) c) (* -4 a) -4 a c (+ a a) (/ b (+ a a)) (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (/ (neg c) b) (neg c) (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt (+ (* b b) (* (* a -4) c))) (* (- (sqrt (+ (* b b) (* (* a -4) c))) b) (/ 1 (+ a a))) (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt (* (* -4 a) c)) (/ 1 (+ a a)) 1 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (* (sqrt (neg (/ a c))) -2) (sqrt (neg (/ a c))) (neg (/ a c)) (/ a c) -2 (* 2 a) 2)
5.0ms
a
@-inf
((- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (sqrt (+ (* b b) (* (* -4 a) c))) (+ (* b b) (* (* -4 a) c)) b (* (* -4 a) c) (* -4 a) -4 a c (+ a a) (/ b (+ a a)) (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (/ (neg c) b) (neg c) (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt (+ (* b b) (* (* a -4) c))) (* (- (sqrt (+ (* b b) (* (* a -4) c))) b) (/ 1 (+ a a))) (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt (* (* -4 a) c)) (/ 1 (+ a a)) 1 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (* (sqrt (neg (/ a c))) -2) (sqrt (neg (/ a c))) (neg (/ a c)) (/ a c) -2 (* 2 a) 2)
5.0ms
a
@inf
((- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (sqrt (+ (* b b) (* (* -4 a) c))) (+ (* b b) (* (* -4 a) c)) b (* (* -4 a) c) (* -4 a) -4 a c (+ a a) (/ b (+ a a)) (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (/ (neg c) b) (neg c) (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt (+ (* b b) (* (* a -4) c))) (* (- (sqrt (+ (* b b) (* (* a -4) c))) b) (/ 1 (+ a a))) (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt (* (* -4 a) c)) (/ 1 (+ a a)) 1 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (* (sqrt (neg (/ a c))) -2) (sqrt (neg (/ a c))) (neg (/ a c)) (/ a c) -2 (* 2 a) 2)
4.0ms
a
@0
((- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (sqrt (+ (* b b) (* (* -4 a) c))) (+ (* b b) (* (* -4 a) c)) b (* (* -4 a) c) (* -4 a) -4 a c (+ a a) (/ b (+ a a)) (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (/ (neg c) b) (neg c) (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt (+ (* b b) (* (* a -4) c))) (* (- (sqrt (+ (* b b) (* (* a -4) c))) b) (/ 1 (+ a a))) (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt (* (* -4 a) c)) (/ 1 (+ a a)) 1 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (* (sqrt (neg (/ a c))) -2) (sqrt (neg (/ a c))) (neg (/ a c)) (/ a c) -2 (* 2 a) 2)
4.0ms
c
@inf
((- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (sqrt (+ (* b b) (* (* -4 a) c))) (+ (* b b) (* (* -4 a) c)) b (* (* -4 a) c) (* -4 a) -4 a c (+ a a) (/ b (+ a a)) (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (/ (neg c) b) (neg c) (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt (+ (* b b) (* (* a -4) c))) (* (- (sqrt (+ (* b b) (* (* a -4) c))) b) (/ 1 (+ a a))) (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt (* (* -4 a) c)) (/ 1 (+ a a)) 1 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (* (sqrt (neg (/ a c))) -2) (sqrt (neg (/ a c))) (neg (/ a c)) (/ a c) -2 (* 2 a) 2)

rewrite118.0ms (2.9%)

Memory
34.9MiB live, 178.1MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08937124
09246516
035116328
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
192 → 267
Calls
Call 1
Inputs
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (+.f64 a a)) (/.f64 b (+.f64 a a)))
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (+.f64 a a))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c)))
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))
b
(*.f64 (*.f64 #s(literal -4 binary64) a) c)
(*.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
a
c
(+.f64 a a)
(/.f64 b (+.f64 a a))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
(/.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* (* a -4) c))) b) b) (+.f64 a a))
(-.f64 #s(approx (sqrt (+ (* b b) (* (* a -4) c))) b) b)
#s(approx (sqrt (+ (* b b) (* (* a -4) c))) b)
(*.f64 #s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal 1 binary64) (+.f64 a a)))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c)))
(sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))
(/.f64 #s(literal 1 binary64) (+.f64 a a))
#s(literal 1 binary64)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal -2 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal -2 binary64))) c))
(*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal -2 binary64))) c)
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal -2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal -2 binary64))
(sqrt.f64 (neg.f64 (/.f64 a c)))
(neg.f64 (/.f64 a c))
(/.f64 a c)
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* -1 (/ c b))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* 1/2 (/ b a))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (/ (+ (* -1 (/ (* a c) b)) (* 1/2 b)) a)))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)))
#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 (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (/ 1 (+ a a)) #s(hole binary64 (/ 1/2 a)))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))
#s(approx (* (sqrt (neg (/ a c))) -2) #s(hole binary64 (* -2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (sqrt (neg (/ a c))) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (neg (/ a c)) #s(hole binary64 (* -1 (/ a c))))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (- (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (* 1/2 (/ b a)))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (- (+ (* -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))))) (* 1/2 (/ b a)))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* -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 (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#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 (* a (+ (* -4 c) (/ (pow b 2) a)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* a (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))))
#s(approx (sqrt (+ (* b b) (* (* -4 a) c))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (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 (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c)))))))
#s(approx (* (sqrt (neg (/ a c))) -2) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (sqrt (neg (/ a c))) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -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)))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))))
#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 (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))))))
#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 (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* -1 b)))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* -1 (/ b c))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* b (- (* (sqrt (/ a c)) (/ (sqrt -4) b)) (/ 1 c)))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* -1 (/ b a))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* -1/2 (/ b a))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ 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))) (* 1/2 (/ 1 a)))))))))
#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 (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -2 b)))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (* -1 (* b (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (/ 1 c))))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* -1 (/ c b)) (* 1/2 (/ b a)))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 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 c) #s(hole binary64 (* -1 c)))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) c)))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* c (- (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))) (* 1/2 (/ b (* a c)))))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* 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))))) (* 1/2 (/ b (* a c)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 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 (+ (* 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 (+ (* -4 a) (/ (pow b 2) c)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* 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))))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* 2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) #s(hole binary64 (* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) #s(hole binary64 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
Outputs
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (+.f64 a a)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (+.f64 a a)) (*.f64 (+.f64 a a) b)) (*.f64 (+.f64 a a) (+.f64 a a)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (neg.f64 (+.f64 a a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (+.f64 a a))
(neg.f64 (-.f64 (/.f64 b (+.f64 a a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (+.f64 a a))))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 a a)) (neg.f64 (/.f64 b (+.f64 a a))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (+.f64 a a)) (/.f64 b (+.f64 a a)))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (+.f64 a a)) (neg.f64 (/.f64 b (+.f64 a a))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 a a)))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (neg.f64 (+.f64 a a)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (+.f64 a a))
(pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(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 c a) #s(literal -4 binary64)))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 b b (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 a #s(literal -4 binary64))) c))
(-.f64 (*.f64 b b) (neg.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))
(-.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(+.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 b b))
b
(*.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 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)
a
c
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(-.f64 a (neg.f64 a))
(+.f64 a a)
(*.f64 b (/.f64 #s(literal 1 binary64) (+.f64 a a)))
(/.f64 (neg.f64 b) (neg.f64 (+.f64 a a)))
(/.f64 b (+.f64 a a))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 c) (/.f64 #s(literal 1 binary64) 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)
(*.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* (* -4 a) c))) b) b) (/.f64 #s(literal 1 binary64) (+.f64 a a)))
(/.f64 (neg.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* (* -4 a) c))) b) b)) (neg.f64 (+.f64 a a)))
(/.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* (* -4 a) c))) b) b) (+.f64 a a))
(-.f64 (/.f64 #s(approx (sqrt (+ (* b b) (* (* -4 a) c))) b) (+.f64 a a)) (/.f64 b (+.f64 a a)))
(neg.f64 (-.f64 b #s(approx (sqrt (+ (* b b) (* (* -4 a) c))) b)))
(-.f64 #s(approx (sqrt (+ (* b b) (* (* -4 a) c))) b) b)
(+.f64 #s(approx (sqrt (+ (* b b) (* (* -4 a) c))) b) (neg.f64 b))
#s(approx (sqrt (+ (* b b) (* (* -4 a) c))) b)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a a)) #s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(*.f64 #s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a a)))
(/.f64 (*.f64 #s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal 1 binary64)) (+.f64 a a))
(/.f64 #s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (+.f64 a a))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (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)))
(fabs.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a a)))
(pow.f64 (+.f64 a a) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 a a)))
(/.f64 #s(literal 1 binary64) (+.f64 a a))
#s(literal 1 binary64)
(*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #s(literal -2 binary64))) c)) (/.f64 #s(literal 1 binary64) (+.f64 a a)))
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #s(literal -2 binary64))) c)) #s(literal 2 binary64)) a)
(/.f64 (neg.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #s(literal -2 binary64))) c))) (neg.f64 (+.f64 a a)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #s(literal -2 binary64))) c)) (+.f64 a a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #s(literal -2 binary64))) c))
(*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #s(literal -2 binary64))) c)
(*.f64 c #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #s(literal -2 binary64))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 a (neg.f64 c))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))
(*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 (/.f64 a (neg.f64 c)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 a (neg.f64 c)))
(fabs.f64 (sqrt.f64 (/.f64 a (neg.f64 c))))
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 (/.f64 a c) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) a) c)
(/.f64 (neg.f64 a) c)
(/.f64 a (neg.f64 c))
(neg.f64 (/.f64 a c))
(*.f64 a (/.f64 #s(literal 1 binary64) c))
(/.f64 (neg.f64 a) (neg.f64 c))
(/.f64 a c)
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(-.f64 a (neg.f64 a))
(+.f64 a a)
#s(literal 2 binary64)
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (/.f64 (neg.f64 c) b))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b))) (/.f64 (neg.f64 c) b)))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (fma.f64 (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #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)))) a (/.f64 (neg.f64 c) b)))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (*.f64 (/.f64 b a) #s(literal 1/2 binary64)))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (*.f64 a (/.f64 c b)))) a))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/.f64 (fma.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b))) (/.f64 (neg.f64 c) b)) a (*.f64 #s(literal 1/2 binary64) b)) a))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/.f64 (fma.f64 (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)) a (*.f64 #s(literal 1/2 binary64) 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 (/.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 (/.f64 c b) #s(literal -2 binary64))) a b))
#s(approx (+ (* b b) (* (* -4 a) c)) (*.f64 b b))
#s(approx (+ (* b b) (* (* -4 a) c)) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
#s(approx (* (* -4 a) c) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
#s(approx (* -4 a) (*.f64 a #s(literal -4 binary64)))
#s(approx a a)
#s(approx (+ a a) (+.f64 a a))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (/.f64 c b) #s(literal -2 binary64))) a))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (*.f64 (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #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 (/.f64 c b) #s(literal -2 binary64))) a))
#s(approx (sqrt (* (* -4 a) c)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))
#s(approx (/ 1 (+ a a)) (/.f64 #s(literal 1/2 binary64) a))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 (neg.f64 b) c)) c))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 (neg.f64 b) c)))
#s(approx (* (sqrt (neg (/ a c))) -2) (*.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #s(literal -2 binary64)))
#s(approx (sqrt (neg (/ a c))) (sqrt.f64 (/.f64 a (neg.f64 c))))
#s(approx (neg (/ a c)) (/.f64 a (neg.f64 c)))
#s(approx (/ a c) (/.f64 a c))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.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 -1/2 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 (+ (* b b) (* (* -4 a) c))) (+ a 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.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 (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.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 #s(literal 1/32 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (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 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
#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 (pow.f64 b #s(literal 4 binary64)) (*.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 (pow.f64 b #s(literal 4 binary64)) (*.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 (pow.f64 b #s(literal 6 binary64)) (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 (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)) a))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.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 -1/2 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 (+ (* b b) (* (* a -4) c))) b) (*.f64 (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (*.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 (- (sqrt (+ (* b b) (* (* a -4) c))) b) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.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 (* (/ a c) -4)) (/ (neg b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -4 binary64))) (/.f64 (neg.f64 b) (*.f64 c a))) a))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (+.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 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 (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (/.f64 a c))) #s(literal -1/8 binary64))) a))) a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (fma.f64 (*.f64 #s(literal -1/8 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)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (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 1/128 binary64) (*.f64 (*.f64 #s(literal -1/8 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)))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (+.f64 (fma.f64 (*.f64 #s(literal -1/8 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)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))) (fma.f64 #s(literal -1/1024 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (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 1/128 binary64)))))
#s(approx (sqrt (+ (* b b) (* (* -4 a) c))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64)))
#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 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (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))))) (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 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (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))))) (fma.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 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 1/4 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 (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a)))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (+.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 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 (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (/.f64 a c))) #s(literal -1/8 binary64))) a))) a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (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 (- (sqrt (+ (* b b) (* (* a -4) c))) b) (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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) a))) a)))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (/.f64 a c))) #s(literal 1/4 binary64))) a)) b) a))) a)))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (neg.f64 (*.f64 (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))) a)))
#s(approx (* (sqrt (neg (/ a c))) -2) (*.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #s(literal 2 binary64)))
#s(approx (sqrt (neg (/ a c))) (neg.f64 (sqrt.f64 (/.f64 a (neg.f64 c)))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (fma.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 binary64))) (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/16 binary64))) (*.f64 b b))) (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* b b) (* (* -4 a) c))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
#s(approx (sqrt (+ (* b b) (* (* -4 a) c))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 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 c a) #s(literal -4 binary64)))))
#s(approx (sqrt (+ (* b b) (* (* -4 a) c))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.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 c a) #s(literal -4 binary64)))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (neg.f64 b)))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal -1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (fma.f64 b (fma.f64 b (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 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))) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))) (neg.f64 c)) b))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (neg.f64 c)) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 4 binary64))) #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 (pow.f64 b #s(literal 6 binary64)) a)) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (*.f64 (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) b))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (*.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b))) b))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -2 binary64) (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (neg.f64 c) (*.f64 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)) (pow.f64 b #s(literal 4 binary64)))) #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)) (pow.f64 b #s(literal 6 binary64))) #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)) (pow.f64 b #s(literal 4 binary64)))))) #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 (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 4 binary64))) #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 (+ (* b b) (* (* a -4) c))) b) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 4 binary64))) #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))) (pow.f64 b #s(literal 6 binary64))))) b))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (neg.f64 b))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) b) #s(literal 1 binary64)) b))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (/.f64 (neg.f64 b) c))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) b) (/.f64 #s(literal 1 binary64) c)) b))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (/.f64 (neg.f64 b) a))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (neg.f64 (fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (*.f64 (neg.f64 b) (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b)))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -2 binary64) (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (*.f64 (neg.f64 b) (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b)))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -2 binary64) (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b))))))
#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)) (pow.f64 b #s(literal 4 binary64)))) #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)) (pow.f64 b #s(literal 6 binary64))) #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)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 1 binary64))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (*.f64 #s(literal -2 binary64) b))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #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)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 2 binary64))))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) b)) #s(literal 1 binary64))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (neg.f64 (fma.f64 b (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) b)) (/.f64 b c))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (*.f64 (-.f64 (*.f64 (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #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 (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) b)))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (fma.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) b)) c (*.f64 (/.f64 b a) #s(literal 1/2 binary64))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (fma.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 (*.f64 (/.f64 b a) #s(literal 1/2 binary64))))
#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 c) (neg.f64 c))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) 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 (+ (* b b) (* (* a -4) c))) b) (*.f64 (fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #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 (* (/ a c) -4)) (/ (neg b) c)) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (neg.f64 b)) c))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/16 binary64) (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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (*.f64 (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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/16 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/16 binary64) (fma.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 7 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 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 (+ (* b b) (* (* -4 a) 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 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (sqrt (+ (* b b) (* (* -4 a) c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64))))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) c))
#s(approx (sqrt (+ (* b b) (* (* -4 a) c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 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 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) c))
#s(approx (+ (* b b) (* (* -4 a) c)) (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) c))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ b (+ a a))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/16 binary64) (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 (+ (* b b) (* (* a -4) c))) 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 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64))))) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c))) c))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 #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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/1024 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 7 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))))
#s(approx (sqrt (+ (* b b) (* (* -4 a) c))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/64 binary64) (fma.f64 #s(literal 1/512 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #s(literal 2 binary64)))))))
#s(approx (+ (* b b) (* (* -4 a) c)) (*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (neg.f64 (/.f64 (*.f64 b b) c)))))
#s(approx (- (/ (sqrt (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 #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 (+ (* b b) (* (* -4 a) c))) (+ a a)) (/ 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 (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (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 (+ (* b b) (* (* a -4) c))) b) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #s(literal 2 binary64) (/.f64 b c))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) c)))))
#s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #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 (pow.f64 b #s(literal 4 binary64)) (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 (* (/ a c) -4)) (/ (neg b) c)) c) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #s(literal -2 binary64) (/.f64 b c))))
#s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (fma.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #s(literal 2 binary64) (/.f64 (neg.f64 b) c)))

eval33.0ms (0.8%)

Memory
-18.7MiB live, 76.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 4 357 to 1 308 computations (70% saved)

prune20.0ms (0.5%)

Memory
6.3MiB live, 54.0MiB allocated; 0ms collecting garbage
Pruning

22 alts after pruning (14 fresh and 8 done)

PrunedKeptTotal
New2544258
Fresh11011
Picked235
Done055
Total25722279
Accuracy
100.0%
Counts
279 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓48.5%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) (+.f64 a a))
✓9.5%
(/.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* (* a -4) c))) b) b) (+.f64 a a))
32.1%
(/.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))
✓26.0%
(/.f64 #s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (+.f64 a a))
31.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (neg.f64 b)) c)) c)) (*.f64 #s(literal 2 binary64) a))
11.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #s(literal -2 binary64))) c)) (+.f64 a a))
12.8%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a))
16.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
✓48.1%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (+.f64 a a)) (/.f64 b (+.f64 a a)))
26.0%
(*.f64 #s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))) #s(approx (/ 1 (+ a a)) (/.f64 #s(literal 1/2 binary64) a)))
18.3%
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
✓37.9%
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (/.f64 (neg.f64 c) b))
14.8%
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
28.7%
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) 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))))))
37.8%
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) b)))
15.6%
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
✓36.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
36.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)))
36.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
✓9.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b)))
✓36.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
9.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 c (/.f64 #s(literal 1 binary64) b))))
Compiler

Compiled 1 071 to 682 computations (36.3% saved)

regimes53.0ms (1.3%)

Memory
-16.4MiB live, 128.3MiB allocated; 5ms collecting garbage
Counts
48 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c 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 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 c (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* (* a -4) c))) b) b) (+.f64 a 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 (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a 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)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
(/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b) (neg.f64 b)) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 #s(literal 2 binary64) 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 (/ (+ (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 (+ (* b b) (* (* a -4) c))) b) (+ a 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 (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) 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))
(*.f64 #s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))) #s(approx (/ 1 (+ a a)) (/.f64 #s(literal 1/2 binary64) 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)) (neg.f64 (fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a))))
(*.f64 #s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal 1 binary64) (+.f64 a a)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.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))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a 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 (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (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))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #s(literal -2 binary64))) c)) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal -2 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -2 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) (+.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) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (neg.f64 b)) c)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (neg.f64 b)) c)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #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)) (*.f64 #s(literal 2 binary64) a))
#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 (/ (+ (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 (+ (* b b) (* (* a -4) c))) 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))))))
(/.f64 #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)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (+.f64 a a)) (/.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 (neg.f64 b) (+.f64 a a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 a a)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (+.f64 a a)) (/.f64 b (+.f64 a a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

4 calls:

13.0ms
a
13.0ms
c
12.0ms
b
10.0ms
(/.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
77.6%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))
52.7%3a
90.0%3b
48.6%1c
Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes14.0ms (0.3%)

Memory
21.5MiB live, 21.5MiB allocated; 0ms collecting garbage
Counts
45 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c 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 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 c (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* (* a -4) c))) b) b) (+.f64 a 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 (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a 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)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
(/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b) (neg.f64 b)) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 #s(literal 2 binary64) 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 (/ (+ (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 (+ (* b b) (* (* a -4) c))) b) (+ a 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 (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) 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))
(*.f64 #s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))) #s(approx (/ 1 (+ a a)) (/.f64 #s(literal 1/2 binary64) 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)) (neg.f64 (fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a))))
(*.f64 #s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal 1 binary64) (+.f64 a a)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.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))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a 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 (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (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))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #s(literal -2 binary64))) c)) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal -2 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -2 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) (+.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) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (neg.f64 b)) c)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (neg.f64 b)) c)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #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)) (*.f64 #s(literal 2 binary64) a))
#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 (/ (+ (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 (+ (* b b) (* (* a -4) c))) 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))))))
(/.f64 #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)))) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) b) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
90.0%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.3%)

Memory
-27.7MiB live, 19.3MiB allocated; 1ms collecting garbage
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c 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 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 c (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* (* a -4) c))) b) b) (+.f64 a 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 (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a 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)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
(/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b) (neg.f64 b)) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 #s(literal 2 binary64) 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 (/ (+ (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 (+ (* b b) (* (* a -4) c))) b) (+ a 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 (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) 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))
(*.f64 #s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))) #s(approx (/ 1 (+ a a)) (/.f64 #s(literal 1/2 binary64) 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)) (neg.f64 (fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a))))
(*.f64 #s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal 1 binary64) (+.f64 a a)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.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))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a 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 (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (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))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) #s(literal -2 binary64))) c)) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal -2 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -2 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.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:

9.0ms
b
Results
AccuracySegmentsBranch
86.8%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.2%)

Memory
15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c 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 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 c (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* (* a -4) c))) b) b) (+.f64 a 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 (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a 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)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
(/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b) (neg.f64 b)) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 #s(literal 2 binary64) 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 (/ (+ (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 (+ (* b b) (* (* a -4) c))) b) (+ a 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 (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) 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))
(*.f64 #s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))) #s(approx (/ 1 (+ a a)) (/.f64 #s(literal 1/2 binary64) 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)) (neg.f64 (fma.f64 b (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 b a))))
(*.f64 #s(approx (- (sqrt (+ (* b b) (* (* a -4) c))) b) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (/.f64 #s(literal 1 binary64) (+.f64 a a)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.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))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a 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 (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b 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)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.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:

7.0ms
b
Results
AccuracySegmentsBranch
86.7%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.2%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c 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 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 c (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* (* a -4) c))) b) b) (+.f64 a 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 (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a 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)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
(/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b) (neg.f64 b)) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 #s(literal 2 binary64) 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 (/ (+ (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 (+ (* b b) (* (* a -4) c))) b) (+ a 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 (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.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)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
78.7%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c 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 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 c (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* (* a -4) c))) b) b) (+.f64 a 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 (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a 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)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
(/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b) (neg.f64 b)) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b 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 (neg.f64 c) b))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
78.4%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
-39.6MiB live, 7.6MiB allocated; 2ms collecting garbage
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c 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 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 c (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* (* a -4) c))) b) b) (+.f64 a 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 (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a 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)) (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 c) b))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
78.2%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.2%)

Memory
12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c 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 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (*.f64 c (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (- (sqrt (+ (* b b) (* (* a -4) c))) b) (+ a a)) (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (sqrt (* (/ a c) -4)) (/ (neg b) c)) c) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* (* a -4) c))) b) b) (+.f64 a a))
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

2 calls:

3.0ms
b
3.0ms
(/.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
55.7%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))
72.3%2b
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b)))
#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))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b)))
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
36.8%1c
36.8%1a
36.8%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))
43.2%2b
Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes4.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB 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)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* b (/ (neg c) (* b b))) (/ b a))) (/.f64 c b)))
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
9.1%1a
9.1%1c
9.1%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))
9.1%1b
Compiler

Compiled 17 to 23 computations (-35.3% saved)

bsearch39.0ms (0.9%)

Memory
-1.8MiB live, 47.7MiB allocated; 2ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2.620289319497876e-93
1.8398158387302972e-92
19.0ms
-2.8554235701809766e+48
-1.4584334407691358e+32
Samples
15.0ms220×0valid
3.0ms51×0invalid
3.0ms26×1valid
2.0ms10×2valid
Compiler

Compiled 590 to 596 computations (-1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult!: 6.0ms (40.6% of total)
ival-sqrt: 4.0ms (27.1% of total)
ival-div!: 2.0ms (13.5% of total)
ival-neg: 2.0ms (13.5% of total)
adjust: 1.0ms (6.8% of total)
ival-sub!: 1.0ms (6.8% of total)
ival-add!: 1.0ms (6.8% of total)

bsearch2.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.620289319497876e-93
1.8398158387302972e-92
1.0ms
-2.8554235701809766e+48
-1.4584334407691358e+32
Compiler

Compiled 558 to 580 computations (-3.9% saved)

bsearch37.0ms (0.9%)

Memory
-16.8MiB live, 30.3MiB allocated; 2ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.620289319497876e-93
1.8398158387302972e-92
33.0ms
-2.091855564451477e-69
-1.7103985214633525e-79
Samples
24.0ms160×0valid
3.0ms40×0invalid
Compiler

Compiled 654 to 676 computations (-3.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sqrt: 15.0ms (70.5% of total)
ival-mult!: 3.0ms (14.1% of total)
ival-neg: 1.0ms (4.7% of total)
ival-div!: 1.0ms (4.7% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch24.0ms (0.6%)

Memory
-17.8MiB live, 29.4MiB allocated; 2ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.620289319497876e-93
1.8398158387302972e-92
21.0ms
-2.091855564451477e-69
-1.7103985214633525e-79
Samples
12.0ms144×0valid
2.0ms38×0invalid
Compiler

Compiled 670 to 692 computations (-3.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult!: 3.0ms (43.8% of total)
ival-sqrt: 1.0ms (14.6% of total)
ival-neg: 1.0ms (14.6% of total)
ival-div!: 1.0ms (14.6% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch51.0ms (1.2%)

Memory
3.0MiB live, 49.3MiB allocated; 2ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
2.501672438850246e-191
4.282251126672771e-182
16.0ms
-2.091855564451477e-69
-1.7103985214633525e-79
Samples
16.0ms256×0valid
5.0ms86×0invalid
2.0ms15×1valid
0.0ms1×2valid
Compiler

Compiled 832 to 860 computations (-3.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult!: 6.0ms (42.8% of total)
ival-sqrt: 3.0ms (21.4% of total)
ival-div!: 2.0ms (14.3% of total)
ival-neg: 2.0ms (14.3% of total)
ival-sub!: 1.0ms (7.1% of total)
ival-add!: 1.0ms (7.1% of total)
adjust: 0.0ms (0% of total)

bsearch76.0ms (1.9%)

Memory
5.7MiB live, 54.6MiB allocated; 20ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
48.0ms
7.514091351110361e-137
1.0961374159326937e-134
22.0ms
-9.678841012777846e-118
-8.448470477282784e-140
Samples
16.0ms254×0valid
6.0ms94×0invalid
4.0ms30×1valid
1.0ms4×2valid
Compiler

Compiled 785 to 810 computations (-3.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult!: 7.0ms (43.7% of total)
ival-sqrt: 3.0ms (18.7% of total)
ival-div!: 2.0ms (12.5% of total)
ival-neg: 2.0ms (12.5% of total)
adjust: 1.0ms (6.2% of total)
ival-sub!: 1.0ms (6.2% of total)
ival-add!: 1.0ms (6.2% of total)

bsearch7.0ms (0.2%)

Memory
11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
7.514091351110361e-137
1.0961374159326937e-134
6.0ms
-9.678841012777846e-118
-8.448470477282784e-140
Samples
2.0ms32×0valid
1.0ms19×0invalid
Compiler

Compiled 686 to 722 computations (-5.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult!: 1.0ms (53% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-sqrt: 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)

bsearch39.0ms (0.9%)

Memory
-12.1MiB live, 35.4MiB allocated; 4ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
36.0ms
1.0269928882854055e-289
3.0217710727926846e-277
Samples
10.0ms160×0valid
5.0ms76×0invalid
Compiler

Compiled 360 to 380 computations (-5.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult!: 4.0ms (45.5% of total)
ival-sqrt: 2.0ms (22.7% of total)
ival-sub!: 1.0ms (11.4% of total)
ival-add!: 1.0ms (11.4% of total)
ival-neg: 1.0ms (11.4% of total)
ival-div!: 1.0ms (11.4% of total)
adjust: 0.0ms (0% of total)

bsearch28.0ms (0.7%)

Memory
32.5MiB live, 32.5MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
25.0ms
5535538.065946804
1.3196804834675555e+21
Samples
7.0ms65×1valid
6.0ms41×2valid
3.0ms50×0valid
1.0ms13×0invalid
1.0ms4×3valid
Compiler

Compiled 430 to 440 computations (-2.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult!: 4.0ms (30% of total)
adjust: 3.0ms (22.5% of total)
ival-sqrt: 3.0ms (22.5% of total)
ival-div!: 2.0ms (15% of total)
ival-sub!: 1.0ms (7.5% of total)
ival-add!: 1.0ms (7.5% of total)
ival-neg: 1.0ms (7.5% of total)

derivations96.0ms (2.3%)

Memory
-19.6MiB live, 73.8MiB allocated; 5ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 179 to 109 computations (39.1% saved)

preprocess112.0ms (2.7%)

Memory
7.8MiB live, 150.5MiB allocated; 10ms collecting garbage
Compiler

Compiled 193 to 123 computations (36.3% saved)

end0.0ms (0%)

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

Profiling

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