quad2p (problem 3.2.1, positive)

Time bar (total: 3.6s)

start0.0ms (0%)

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

analyze125.0ms (3.5%)

Memory
2.3MiB live, 138.0MiB allocated; 34ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
42.6%40.6%54.6%0.1%0%4.7%0%7
51.2%48.4%46%0.1%0%5.5%0%8
54.5%49.9%41.7%0.1%0%8.2%0%9
60.2%53.4%35.3%0.1%0%11.1%0%10
67.6%58.7%28.2%0.1%0%13%0%11
71.4%60.6%24.2%0.1%0%15.1%0%12
Compiler

Compiled 15 to 12 computations (20% saved)

sample1.7s (48.7%)

Memory
17.4MiB live, 1 139.9MiB allocated; 839ms collecting garbage
Samples
423.0ms1 304×1valid
357.0ms5 558×0valid
353.0ms1 204×2valid
121.0ms1 158×0invalid
96.0ms190×3valid
Precisions
Click to see histograms. Total time spent on operations: 931.0ms
adjust: 406.0ms (43.6% of total)
ival-div!: 160.0ms (17.2% of total)
ival-mult!: 126.0ms (13.5% of total)
ival-sqrt: 113.0ms (12.1% of total)
ival-neg: 50.0ms (5.4% of total)
ival-add!: 40.0ms (4.3% of total)
ival-sub!: 36.0ms (3.9% of total)
Bogosity

preprocess63.0ms (1.8%)

Memory
-5.6MiB live, 41.4MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048131
1212121
2594121
31712121
47397121
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.9%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 20 to 20 computations (0% saved)

series21.0ms (0.6%)

Memory
24.2MiB live, 24.2MiB allocated; 0ms collecting garbage
Counts
10 → 101
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(neg.f64 b_2)
b_2
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(*.f64 b_2 b_2)
(*.f64 a c)
a
c
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1/2 (/ (* a c) b_2))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* -1/2 (/ (* a c) b_2)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (pow b_2 2)))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (+ (* -1 (* a c)) (pow b_2 2))))
#s(approx (* a c) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* a c))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* a (- (/ (pow b_2 2) a) c))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (- (pow b_2 2) (* a c))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -2 b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* c (- (/ (pow b_2 2) c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
a
@-inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) b_2 (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* b_2 b_2) (* a c) a c)
3.0ms
a
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) b_2 (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* b_2 b_2) (* a c) a c)
2.0ms
b_2
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) b_2 (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* b_2 b_2) (* a c) a c)
2.0ms
b_2
@-inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) b_2 (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* b_2 b_2) (* a c) a c)
2.0ms
c
@-inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) b_2 (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* b_2 b_2) (* a c) a c)

rewrite172.0ms (4.8%)

Memory
-5.3MiB live, 80.9MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06224149
06323884
040633766
1126943766
Stop Event
saturated
iter-limit
node-limit
iter-limit
Counts
111 → 141
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(neg.f64 b_2)
b_2
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(*.f64 b_2 b_2)
(*.f64 a c)
a
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1/2 (/ (* a c) b_2))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* -1/2 (/ (* a c) b_2)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (pow b_2 2)))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (+ (* -1 (* a c)) (pow b_2 2))))
#s(approx (* a c) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* a c))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* a (- (/ (pow b_2 2) a) c))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (- (pow b_2 2) (* a c))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -2 b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* c (- (/ (pow b_2 2) c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))))
Outputs
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2))) (neg.f64 a))
(/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2)) a)
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a))
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a))
(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))
(-.f64 (neg.f64 b_2) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))))
(+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2))
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 b_2 #s(literal -1 binary64))
(neg.f64 b_2)
b_2
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))
(neg.f64 (-.f64 (*.f64 c a) (*.f64 b_2 b_2)))
(fma.f64 (fabs.f64 b_2) (fabs.f64 b_2) (*.f64 (neg.f64 a) c))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(fma.f64 #s(literal -1 binary64) (*.f64 c a) (*.f64 b_2 b_2))
(fma.f64 (*.f64 c a) #s(literal -1 binary64) (*.f64 b_2 b_2))
(fma.f64 (neg.f64 b_2) (neg.f64 b_2) (*.f64 (neg.f64 a) c))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c))
(-.f64 (*.f64 (neg.f64 a) c) (neg.f64 (*.f64 b_2 b_2)))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2))
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c))
(*.f64 (fabs.f64 b_2) (fabs.f64 b_2))
(*.f64 (neg.f64 b_2) (neg.f64 b_2))
(*.f64 b_2 b_2)
(pow.f64 (fabs.f64 b_2) #s(literal 2 binary64))
(pow.f64 (neg.f64 b_2) #s(literal 2 binary64))
(pow.f64 b_2 #s(literal 2 binary64))
(fabs.f64 (*.f64 b_2 b_2))
(*.f64 c a)
(*.f64 a c)
a
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) b_2))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) a) b_2) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) b_2))) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) b_2))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* 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_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) a) b_2) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) b_2))) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) b_2))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
#s(approx (- (* b_2 b_2) (* a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))
#s(approx (* a c) (*.f64 c a))
#s(approx a a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) (/.f64 b_2 a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 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 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) (/.f64 b_2 a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) (/.f64 b_2 a))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 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 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) (/.f64 b_2 a)))) a))
#s(approx (sqrt (- (* b_2 b_2) (* 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))) a))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 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 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))) a))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 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 1/16 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 #s(literal -1 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))) a))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) a) c) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) b_2) a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) #s(literal -1/2 binary64))) a)) b_2) a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 a) (+.f64 (/.f64 b_2 a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) #s(literal 1/2 binary64))) a)) b_2) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (pow.f64 b_2 #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 -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (pow.f64 b_2 #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 -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #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 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) a)) (neg.f64 c))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) a)) b_2 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 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 -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) b_2) (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) (neg.f64 b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) b_2 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 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_2 b_2)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (neg b_2) (neg.f64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 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_2 b_2)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (*.f64 b_2 b_2) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 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 -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 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_2 b_2) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) (*.f64 b_2 b_2))) (*.f64 b_2 b_2) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (- (* b_2 b_2) (* a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b_2 b_2)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b_2 b_2)))) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64)) (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b_2 b_2))))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b_2 b_2)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 c a))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b_2 b_2)) #s(literal -1/8 binary64)))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b_2 b_2)) #s(literal -1/8 binary64))))) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64))) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64)))) b_2))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (+.f64 (/.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2)) #s(literal 1 binary64)) (*.f64 b_2 b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 2 binary64) a))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 b_2) (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 b_2) (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b_2 b_2) b_2)) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (*.f64 (/.f64 a (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (*.f64 (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) c) (*.f64 a b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b_2 b_2) b_2))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* 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_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) c) b_2) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b_2 b_2) b_2))) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b_2 b_2) b_2))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c b_2))
#s(approx c c)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) (*.f64 c a))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (+.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64)))) (/.f64 (neg.f64 b_2) (*.f64 c a))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64)))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))) (/.f64 (neg.f64 b_2) (*.f64 c a))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c)) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* 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_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c)))) c))
#s(approx (sqrt (- (* b_2 b_2) (* 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c))
#s(approx (sqrt (- (* b_2 b_2) (* 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_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))) c))
#s(approx (sqrt (- (* b_2 b_2) (* 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_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 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_2 #s(literal 6 binary64)) (pow.f64 #s(literal -1 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))))) c))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))) (/.f64 b_2 (*.f64 c a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) a)) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 b_2 #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 -1/8 binary64))) c)) (/.f64 (neg.f64 b_2) a)) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 c) (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64))) c)) b_2) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* 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_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))))))
#s(approx (sqrt (- (* b_2 b_2) (* 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_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) (-.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) c)) (neg.f64 a))))

eval14.0ms (0.4%)

Memory
33.4MiB live, 33.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 450 to 763 computations (68.9% saved)

prune19.0ms (0.5%)

Memory
-40.0MiB live, 28.9MiB allocated; 17ms collecting garbage
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New11915134
Fresh000
Picked011
Done000
Total11916135
Accuracy
99.4%
Counts
135 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.9%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) a)
55.9%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
49.7%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c)))) a)
34.7%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
8.8%
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
21.5%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c)) c)) a)
37.4%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
30.0%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
55.3%
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a))
55.7%
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a))
21.0%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))) (/.f64 (neg.f64 b_2) a)))
33.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
31.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))) (/.f64 b_2 (*.f64 c a)))))
36.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
14.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
19.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
Compiler

Compiled 456 to 454 computations (0.4% saved)

series30.0ms (0.8%)

Memory
8.5MiB live, 55.0MiB allocated; 4ms collecting garbage
Counts
31 → 110
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))
(neg.f64 b_2)
b_2
(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(neg.f64 a)
a
c
(*.f64 b_2 b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(/.f64 c b_2)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(/.f64 c a)
#s(literal -1 binary64)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
(*.f64 (neg.f64 a) c)
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a))
(+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2))
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(*.f64 c a)
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1/2 (/ (* a c) b_2))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 b_2))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ b_2 (* -1/2 (/ (* a c) b_2)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (pow b_2 2)))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (+ (* -1 (* a c)) (pow b_2 2))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx a #s(hole binary64 a))
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (* (/ c a) -1) #s(hole binary64 (* -1 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (* (neg a) c) #s(hole binary64 (* -1 (* a c))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a)))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* a (+ (* -1 c) (/ (pow b_2 2) a)))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* a (- (/ (pow b_2 2) a) c))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))))
#s(approx (/ c b_2) #s(hole binary64 (/ c b_2)))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (- (pow b_2 2) (* a c))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -2 b_2)))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* c (+ (* -1 a) (/ (pow b_2 2) c)))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* c (- (/ (pow b_2 2) c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
b_2
@inf
((/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (neg b_2) b_2 (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (neg a) a c (* b_2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) -1/2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (* (/ c a) -1)) (* (/ c a) -1) (/ c a) -1 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (neg a) c) (* (+ (sqrt (- (* b_2 b_2) (* c a))) (neg b_2)) (/ 1 a)) (+ (sqrt (- (* b_2 b_2) (* c a))) (neg b_2)) (sqrt (- (* b_2 b_2) (* c a))) (- (* b_2 b_2) (* c a)) (* c a) (/ 1 a) 1)
5.0ms
c
@0
((/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (neg b_2) b_2 (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (neg a) a c (* b_2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) -1/2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (* (/ c a) -1)) (* (/ c a) -1) (/ c a) -1 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (neg a) c) (* (+ (sqrt (- (* b_2 b_2) (* c a))) (neg b_2)) (/ 1 a)) (+ (sqrt (- (* b_2 b_2) (* c a))) (neg b_2)) (sqrt (- (* b_2 b_2) (* c a))) (- (* b_2 b_2) (* c a)) (* c a) (/ 1 a) 1)
3.0ms
c
@inf
((/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (neg b_2) b_2 (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (neg a) a c (* b_2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) -1/2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (* (/ c a) -1)) (* (/ c a) -1) (/ c a) -1 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (neg a) c) (* (+ (sqrt (- (* b_2 b_2) (* c a))) (neg b_2)) (/ 1 a)) (+ (sqrt (- (* b_2 b_2) (* c a))) (neg b_2)) (sqrt (- (* b_2 b_2) (* c a))) (- (* b_2 b_2) (* c a)) (* c a) (/ 1 a) 1)
3.0ms
c
@-inf
((/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (neg b_2) b_2 (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (neg a) a c (* b_2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) -1/2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (* (/ c a) -1)) (* (/ c a) -1) (/ c a) -1 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (neg a) c) (* (+ (sqrt (- (* b_2 b_2) (* c a))) (neg b_2)) (/ 1 a)) (+ (sqrt (- (* b_2 b_2) (* c a))) (neg b_2)) (sqrt (- (* b_2 b_2) (* c a))) (- (* b_2 b_2) (* c a)) (* c a) (/ 1 a) 1)
2.0ms
a
@0
((/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (neg b_2) b_2 (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (neg a) a c (* b_2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) -1/2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (* (/ c a) -1)) (* (/ c a) -1) (/ c a) -1 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (neg a) c) (* (+ (sqrt (- (* b_2 b_2) (* c a))) (neg b_2)) (/ 1 a)) (+ (sqrt (- (* b_2 b_2) (* c a))) (neg b_2)) (sqrt (- (* b_2 b_2) (* c a))) (- (* b_2 b_2) (* c a)) (* c a) (/ 1 a) 1)

rewrite177.0ms (5%)

Memory
-2.9MiB live, 141.5MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06694430
07014058
043593940
1133243940
Stop Event
saturated
iter-limit
node-limit
iter-limit
Counts
141 → 245
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))
(neg.f64 b_2)
b_2
(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(neg.f64 a)
a
c
(*.f64 b_2 b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(/.f64 c b_2)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(/.f64 c a)
#s(literal -1 binary64)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
(*.f64 (neg.f64 a) c)
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a))
(+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2))
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(*.f64 c a)
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1/2 (/ (* a c) b_2))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 b_2))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ b_2 (* -1/2 (/ (* a c) b_2)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (pow b_2 2)))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (+ (* -1 (* a c)) (pow b_2 2))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx a #s(hole binary64 a))
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (* (/ c a) -1) #s(hole binary64 (* -1 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (* (neg a) c) #s(hole binary64 (* -1 (* a c))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a)))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* a (+ (* -1 c) (/ (pow b_2 2) a)))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* a (- (/ (pow b_2 2) a) c))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))))
#s(approx (/ c b_2) #s(hole binary64 (/ c b_2)))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (- (pow b_2 2) (* a c))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -2 b_2)))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* c (+ (* -1 a) (/ (pow b_2 2) c)))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* c (- (/ (pow b_2 2) c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2))
(*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2) #s(literal 1 binary64)) a)
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2)) (neg.f64 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2) a)
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a))
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a))
(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (neg.f64 (neg.f64 b_2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2)
(-.f64 (neg.f64 b_2) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))))
(+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2))
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 b_2 #s(literal -1 binary64))
(neg.f64 b_2)
b_2
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))
(neg.f64 (-.f64 (*.f64 c a) (*.f64 b_2 b_2)))
(fma.f64 (fabs.f64 b_2) (fabs.f64 b_2) (*.f64 (neg.f64 c) a))
(fma.f64 (fabs.f64 b_2) (fabs.f64 b_2) (*.f64 c (neg.f64 a)))
(fma.f64 #s(literal -1 binary64) (*.f64 c a) (*.f64 b_2 b_2))
(fma.f64 (*.f64 c a) #s(literal -1 binary64) (*.f64 b_2 b_2))
(fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(fma.f64 (neg.f64 b_2) (neg.f64 b_2) (*.f64 (neg.f64 c) a))
(fma.f64 (neg.f64 b_2) (neg.f64 b_2) (*.f64 c (neg.f64 a)))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 c) a))
(fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(-.f64 (*.f64 c (neg.f64 a)) (*.f64 (neg.f64 b_2) b_2))
(-.f64 (*.f64 c (neg.f64 a)) (neg.f64 (*.f64 b_2 b_2)))
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 c) a))
(+.f64 (*.f64 b_2 b_2) (*.f64 c (neg.f64 a)))
(+.f64 (*.f64 c (neg.f64 a)) (*.f64 b_2 b_2))
(*.f64 #s(literal -1 binary64) a)
(*.f64 a #s(literal -1 binary64))
(neg.f64 a)
a
c
(*.f64 (fabs.f64 b_2) (fabs.f64 b_2))
(*.f64 (neg.f64 b_2) (neg.f64 b_2))
(*.f64 b_2 b_2)
(pow.f64 (fabs.f64 b_2) #s(literal 2 binary64))
(pow.f64 (neg.f64 b_2) #s(literal 2 binary64))
(pow.f64 b_2 #s(literal 2 binary64))
(fabs.f64 (*.f64 b_2 b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(*.f64 c (/.f64 #s(literal 1 binary64) b_2))
(/.f64 (neg.f64 c) (neg.f64 b_2))
(/.f64 c b_2)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 (/.f64 (neg.f64 c) a) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(fabs.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c a))
(/.f64 (neg.f64 c) a)
(neg.f64 (/.f64 c a))
(*.f64 c (/.f64 #s(literal 1 binary64) a))
(/.f64 (neg.f64 c) (neg.f64 a))
(/.f64 c a)
#s(literal -1 binary64)
(*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) (neg.f64 b_2))) (neg.f64 a))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) (neg.f64 b_2)) a)
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) a))
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) a))
(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))
(-.f64 (neg.f64 b_2) (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))))
(+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) (neg.f64 b_2))
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))
(fabs.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))
(*.f64 #s(literal -1 binary64) (*.f64 c a))
(*.f64 (*.f64 c a) #s(literal -1 binary64))
(*.f64 c (neg.f64 a))
(*.f64 (neg.f64 a) c)
(neg.f64 (*.f64 c a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2))
(*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2) #s(literal 1 binary64)) a)
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2)) (neg.f64 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2) a)
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a))
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a))
(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (neg.f64 (neg.f64 b_2)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2)
(-.f64 (neg.f64 b_2) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))))
(+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2))
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))
(neg.f64 (-.f64 (*.f64 c a) (*.f64 b_2 b_2)))
(fma.f64 (fabs.f64 b_2) (fabs.f64 b_2) (*.f64 (neg.f64 c) a))
(fma.f64 (fabs.f64 b_2) (fabs.f64 b_2) (*.f64 c (neg.f64 a)))
(fma.f64 #s(literal -1 binary64) (*.f64 c a) (*.f64 b_2 b_2))
(fma.f64 (*.f64 c a) #s(literal -1 binary64) (*.f64 b_2 b_2))
(fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(fma.f64 (neg.f64 b_2) (neg.f64 b_2) (*.f64 (neg.f64 c) a))
(fma.f64 (neg.f64 b_2) (neg.f64 b_2) (*.f64 c (neg.f64 a)))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 c) a))
(fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(-.f64 (*.f64 c (neg.f64 a)) (*.f64 (neg.f64 b_2) b_2))
(-.f64 (*.f64 c (neg.f64 a)) (neg.f64 (*.f64 b_2 b_2)))
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 c) a))
(+.f64 (*.f64 b_2 b_2) (*.f64 c (neg.f64 a)))
(+.f64 (*.f64 c (neg.f64 a)) (*.f64 b_2 b_2))
(*.f64 c a)
(*.f64 a c)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(pow.f64 a #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal -1 binary64) (neg.f64 a))
#s(literal 1 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) b_2))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) a) b_2) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) b_2))) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) b_2))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) a) b_2) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) b_2))) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) b_2))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) b_2))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
#s(approx (- (* b_2 b_2) (* a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))
#s(approx (neg a) (neg.f64 a))
#s(approx a a)
#s(approx (sqrt (* (/ c a) -1)) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (* (/ c a) -1) (/.f64 (neg.f64 c) a))
#s(approx (/ c a) (/.f64 c a))
#s(approx (* (neg a) c) (*.f64 c (neg.f64 a)))
#s(approx (* c a) (*.f64 c a))
#s(approx (/ 1 a) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 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))))) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 b_2 a))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (sqrt.f64 (*.f64 c (neg.f64 a))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))) a))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 b_2 a)) a))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 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))))) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 b_2 a))) a))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))) a))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 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 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))) a))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 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 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 #s(literal -1 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)))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))))) a))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) a) c) a))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) a) c) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) b_2) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) #s(literal -1/2 binary64))) a)) b_2) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 (neg.f64 a) (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) #s(literal 1/2 binary64))) a)) b_2) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (pow.f64 b_2 #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 -1/8 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (pow.f64 b_2 #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 -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) a)) c)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) (neg.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) a) c))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) a)) b_2 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 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 -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) b_2) (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (neg.f64 b_2)))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 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_2 b_2)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) #s(literal -1 binary64)) (sqrt.f64 (*.f64 c (neg.f64 a)))))
#s(approx (neg b_2) (neg.f64 b_2))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 c (neg.f64 a)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 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_2 b_2)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (*.f64 b_2 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 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 -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 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_2 b_2) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) (*.f64 b_2 b_2))) (*.f64 b_2 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))))
#s(approx (/ c b_2) (/.f64 c b_2))
#s(approx (- (* b_2 b_2) (* a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b_2 b_2)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b_2 b_2)))) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64)) (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b_2 b_2))))) b_2))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b_2 b_2)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 c a))) b_2))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b_2 b_2)) #s(literal -1/8 binary64)))) b_2))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b_2 b_2)) #s(literal -1/8 binary64))))) b_2))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) b_2))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64))) b_2))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64)))) b_2))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (+.f64 (/.f64 (*.f64 c (neg.f64 a)) (*.f64 b_2 b_2)) #s(literal 1 binary64)) (*.f64 b_2 b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 2 binary64) a))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 #s(literal -2 binary64) b_2))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 (neg.f64 b_2) (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64)))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (*.f64 (neg.f64 b_2) (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b_2 b_2) b_2)) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (*.f64 (/.f64 a (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (*.f64 (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) c) (*.f64 a b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b_2 b_2) b_2))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 (fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) c) b_2) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b_2 b_2) b_2))) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c b_2))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b_2 b_2) b_2))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c b_2))
#s(approx c c)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) (*.f64 c a))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (+.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64)))) (/.f64 (neg.f64 b_2) (*.f64 c a))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64)))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))) (/.f64 (neg.f64 b_2) (*.f64 c a))) c))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c)) c))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c))) c))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.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_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c)))) c))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (*.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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (*.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_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))) c))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (*.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_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 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_2 #s(literal 6 binary64)) (pow.f64 #s(literal -1 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))))) c))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))) (/.f64 b_2 (*.f64 c a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) a)) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 b_2 #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 -1/8 binary64))) c)) (/.f64 (neg.f64 b_2) a)) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 (neg.f64 c) (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (+ (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64))) c)) b_2) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (*.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_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (*.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_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) c)) a)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) (neg.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))))

eval37.0ms (1%)

Memory
2.8MiB live, 47.9MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 974 to 1 003 computations (66.3% saved)

prune44.0ms (1.2%)

Memory
-12.0MiB live, 27.2MiB allocated; 13ms collecting garbage
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New2006206
Fresh3710
Picked235
Done101
Total20616222
Accuracy
99.4%
Counts
222 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.9%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2) a)
55.9%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) a)
49.7%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c)))) a)
34.7%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
21.5%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c)) c)) a)
37.4%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
30.0%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
55.3%
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a))
34.7%
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) a))
34.6%
(*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a))
21.0%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a)))
33.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
31.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))) (/.f64 b_2 (*.f64 c a)))))
36.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
14.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
19.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
Compiler

Compiled 433 to 431 computations (0.5% saved)

series30.0ms (0.9%)

Memory
23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Counts
32 → 151
Calls
Call 1
Inputs
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2) a)
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2)
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(*.f64 b_2 b_2)
b_2
(*.f64 c a)
c
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (neg.f64 c) a)
(neg.f64 c)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c)))
(sqrt.f64 (*.f64 (neg.f64 a) c))
(*.f64 (neg.f64 a) c)
(neg.f64 a)
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) a))
(/.f64 (neg.f64 b_2) a)
(neg.f64 b_2)
(/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) a)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))
(*.f64 c (neg.f64 a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c))))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c))
(*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c)
(-.f64 (/.f64 (*.f64 b_2 b_2) c) a)
(/.f64 (*.f64 b_2 b_2) c)
Outputs
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1/2 (/ (* a c) b_2))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (+ b_2 (* -1/2 (/ (* a c) b_2)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))))
#s(approx (- (* b_2 b_2) (* c a)) #s(hole binary64 (pow b_2 2)))
#s(approx (- (* b_2 b_2) (* c a)) #s(hole binary64 (+ (* -1 (* a c)) (pow b_2 2))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (neg c) a) #s(hole binary64 (* -1 (/ c a))))
#s(approx (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 (neg a) #s(hole binary64 (* -1 a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) #s(hole binary64 (/ (+ b_2 (* -1 b_2)) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) #s(hole binary64 (/ (+ b_2 (+ (* -1 b_2) (* -1/2 (/ (* a c) b_2)))) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) #s(hole binary64 (/ (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) #s(hole binary64 (/ (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))) a)))
#s(approx (/ (neg b_2) a) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (/ b_2 a)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) a)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) a)))
#s(approx (- (/ (* b_2 b_2) c) a) #s(hole binary64 (/ (pow b_2 2) c)))
#s(approx (- (/ (* b_2 b_2) c) a) #s(hole binary64 (+ (* -1 a) (/ (pow b_2 2) c))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (- (* b_2 b_2) (* c a)) #s(hole binary64 (* a (- (/ (pow b_2 2) a) c))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (* (- (/ (* b_2 b_2) c) a) c) #s(hole binary64 (* a (+ (* -1 c) (/ (pow b_2 2) a)))))
#s(approx (- (/ (* b_2 b_2) c) a) #s(hole binary64 (* a (- (/ (pow b_2 2) (* a c)) 1))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))))
#s(approx (- (* b_2 b_2) (* c a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1))))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))))))))
#s(approx (* (- (/ (* b_2 b_2) c) a) c) #s(hole binary64 (* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))))
#s(approx (- (/ (* b_2 b_2) c) a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (pow b_2 2) (* a c))))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (* b_2 b_2) (* c a)) #s(hole binary64 (- (pow b_2 2) (* a c))))
#s(approx (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* (sqrt (/ c a)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* (sqrt (/ c a)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (/ (* b_2 b_2) c) a) #s(hole binary64 (- (/ (pow b_2 2) c) a)))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))))
#s(approx (- (* b_2 b_2) (* c a)) #s(hole binary64 (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (/ 1 a))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (/ 1 a)))))))
#s(approx (- (/ (* b_2 b_2) c) a) #s(hole binary64 (* (pow b_2 2) (+ (* -1 (/ a (pow b_2 2))) (/ 1 c)))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -2 b_2)))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (/ 1 a)))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (/ 1 a))))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) #s(hole binary64 (+ (* -1 (/ b_2 a)) (/ b_2 a))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/2 (/ c b_2)) (/ b_2 a)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (/ b_2 a)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) (/ b_2 a)))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (/ b_2 a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (/ b_2 a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) (/ b_2 a))))
#s(approx (- (/ (* b_2 b_2) c) a) #s(hole binary64 (/ (+ (* -1 (* a c)) (pow b_2 2)) c)))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (- (* b_2 b_2) (* c a)) #s(hole binary64 (* c (- (/ (pow b_2 2) c) a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (* (- (/ (* b_2 b_2) c) a) c) #s(hole binary64 (* c (+ (* -1 a) (/ (pow b_2 2) c)))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (- (* b_2 b_2) (* c a)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))))
#s(approx (* (- (/ (* b_2 b_2) c) a) c) #s(hole binary64 (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
c
@-inf
((/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) (- (sqrt (- (* b_2 b_2) (* c a))) b_2) (sqrt (- (* b_2 b_2) (* c a))) (- (* b_2 b_2) (* c a)) (* b_2 b_2) b_2 (* c a) c a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (* (neg a) c)) (* (neg a) c) (neg a) (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) (/ (neg b_2) a) (neg b_2) (/ (sqrt (- (* b_2 b_2) (* a c))) a) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* c (neg a)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (- (/ (* b_2 b_2) c) a) c) (- (/ (* b_2 b_2) c) a) (/ (* b_2 b_2) c))
3.0ms
c
@inf
((/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) (- (sqrt (- (* b_2 b_2) (* c a))) b_2) (sqrt (- (* b_2 b_2) (* c a))) (- (* b_2 b_2) (* c a)) (* b_2 b_2) b_2 (* c a) c a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (* (neg a) c)) (* (neg a) c) (neg a) (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) (/ (neg b_2) a) (neg b_2) (/ (sqrt (- (* b_2 b_2) (* a c))) a) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* c (neg a)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (- (/ (* b_2 b_2) c) a) c) (- (/ (* b_2 b_2) c) a) (/ (* b_2 b_2) c))
3.0ms
a
@inf
((/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) (- (sqrt (- (* b_2 b_2) (* c a))) b_2) (sqrt (- (* b_2 b_2) (* c a))) (- (* b_2 b_2) (* c a)) (* b_2 b_2) b_2 (* c a) c a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (* (neg a) c)) (* (neg a) c) (neg a) (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) (/ (neg b_2) a) (neg b_2) (/ (sqrt (- (* b_2 b_2) (* a c))) a) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* c (neg a)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (- (/ (* b_2 b_2) c) a) c) (- (/ (* b_2 b_2) c) a) (/ (* b_2 b_2) c))
3.0ms
a
@0
((/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) (- (sqrt (- (* b_2 b_2) (* c a))) b_2) (sqrt (- (* b_2 b_2) (* c a))) (- (* b_2 b_2) (* c a)) (* b_2 b_2) b_2 (* c a) c a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (* (neg a) c)) (* (neg a) c) (neg a) (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) (/ (neg b_2) a) (neg b_2) (/ (sqrt (- (* b_2 b_2) (* a c))) a) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* c (neg a)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (- (/ (* b_2 b_2) c) a) c) (- (/ (* b_2 b_2) c) a) (/ (* b_2 b_2) c))
3.0ms
a
@-inf
((/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) (- (sqrt (- (* b_2 b_2) (* c a))) b_2) (sqrt (- (* b_2 b_2) (* c a))) (- (* b_2 b_2) (* c a)) (* b_2 b_2) b_2 (* c a) c a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (* (neg a) c)) (* (neg a) c) (neg a) (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) (/ (neg b_2) a) (neg b_2) (/ (sqrt (- (* b_2 b_2) (* a c))) a) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* c (neg a)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (- (/ (* b_2 b_2) c) a) c) (- (/ (* b_2 b_2) c) a) (/ (* b_2 b_2) c))

rewrite253.0ms (7.1%)

Memory
-5.3MiB live, 92.2MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08136185
08485755
153645603
081025422
1252335422
Stop Event
saturated
node-limit
iter-limit
Counts
183 → 306
Calls
Call 1
Inputs
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2) a)
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2)
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(*.f64 b_2 b_2)
b_2
(*.f64 c a)
c
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (neg.f64 c) a)
(neg.f64 c)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c)))
(sqrt.f64 (*.f64 (neg.f64 a) c))
(*.f64 (neg.f64 a) c)
(neg.f64 a)
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) a))
(/.f64 (neg.f64 b_2) a)
(neg.f64 b_2)
(/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) a)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))
(*.f64 c (neg.f64 a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c))))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c))
(*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c)
(-.f64 (/.f64 (*.f64 b_2 b_2) c) a)
(/.f64 (*.f64 b_2 b_2) c)
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1/2 (/ (* a c) b_2))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (+ b_2 (* -1/2 (/ (* a c) b_2)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))))
#s(approx (- (* b_2 b_2) (* c a)) #s(hole binary64 (pow b_2 2)))
#s(approx (- (* b_2 b_2) (* c a)) #s(hole binary64 (+ (* -1 (* a c)) (pow b_2 2))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (neg c) a) #s(hole binary64 (* -1 (/ c a))))
#s(approx (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 (neg a) #s(hole binary64 (* -1 a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) #s(hole binary64 (/ (+ b_2 (* -1 b_2)) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) #s(hole binary64 (/ (+ b_2 (+ (* -1 b_2) (* -1/2 (/ (* a c) b_2)))) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) #s(hole binary64 (/ (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) #s(hole binary64 (/ (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))) a)))
#s(approx (/ (neg b_2) a) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (/ b_2 a)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) a)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) a)))
#s(approx (- (/ (* b_2 b_2) c) a) #s(hole binary64 (/ (pow b_2 2) c)))
#s(approx (- (/ (* b_2 b_2) c) a) #s(hole binary64 (+ (* -1 a) (/ (pow b_2 2) c))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (- (* b_2 b_2) (* c a)) #s(hole binary64 (* a (- (/ (pow b_2 2) a) c))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (* (- (/ (* b_2 b_2) c) a) c) #s(hole binary64 (* a (+ (* -1 c) (/ (pow b_2 2) a)))))
#s(approx (- (/ (* b_2 b_2) c) a) #s(hole binary64 (* a (- (/ (pow b_2 2) (* a c)) 1))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))))
#s(approx (- (* b_2 b_2) (* c a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1))))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))))))))
#s(approx (* (- (/ (* b_2 b_2) c) a) c) #s(hole binary64 (* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))))
#s(approx (- (/ (* b_2 b_2) c) a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (pow b_2 2) (* a c))))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (* b_2 b_2) (* c a)) #s(hole binary64 (- (pow b_2 2) (* a c))))
#s(approx (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* (sqrt (/ c a)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* (sqrt (/ c a)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (/ (* b_2 b_2) c) a) #s(hole binary64 (- (/ (pow b_2 2) c) a)))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))))
#s(approx (- (* b_2 b_2) (* c a)) #s(hole binary64 (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (/ 1 a))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (/ 1 a)))))))
#s(approx (- (/ (* b_2 b_2) c) a) #s(hole binary64 (* (pow b_2 2) (+ (* -1 (/ a (pow b_2 2))) (/ 1 c)))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -2 b_2)))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (/ 1 a)))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (/ 1 a))))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) #s(hole binary64 (+ (* -1 (/ b_2 a)) (/ b_2 a))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/2 (/ c b_2)) (/ b_2 a)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (/ b_2 a)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) (/ b_2 a)))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (/ b_2 a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (/ b_2 a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (+ (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) (/ b_2 a))))
#s(approx (- (/ (* b_2 b_2) c) a) #s(hole binary64 (/ (+ (* -1 (* a c)) (pow b_2 2)) c)))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (- (* b_2 b_2) (* c a)) #s(hole binary64 (* c (- (/ (pow b_2 2) c) a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (* (- (/ (* b_2 b_2) c) a) c) #s(hole binary64 (* c (+ (* -1 a) (/ (pow b_2 2) c)))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (- (sqrt (- (* b_2 b_2) (* c a))) b_2) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (- (* b_2 b_2) (* c a)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))))
#s(approx (* (- (/ (* b_2 b_2) c) a) c) #s(hole binary64 (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))))
Outputs
(*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 #s(literal 1 binary64) a))
(/.f64 (fma.f64 (neg.f64 b_2) a (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 a a))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (neg.f64 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 #s(literal 1 binary64) a) (/.f64 (neg.f64 b_2) a))
(fma.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))
(-.f64 (/.f64 (neg.f64 b_2) a) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 (neg.f64 b_2) a))
(neg.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
(-.f64 (neg.f64 b_2) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 b_2))
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(neg.f64 (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))
(fma.f64 (fabs.f64 b_2) (fabs.f64 b_2) (*.f64 (neg.f64 c) a))
(fma.f64 (fabs.f64 b_2) (fabs.f64 b_2) (*.f64 (neg.f64 a) c))
(fma.f64 #s(literal -1 binary64) (*.f64 a c) (*.f64 b_2 b_2))
(fma.f64 (neg.f64 b_2) (neg.f64 b_2) (*.f64 (neg.f64 c) a))
(fma.f64 (neg.f64 b_2) (neg.f64 b_2) (*.f64 (neg.f64 a) c))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(fma.f64 (*.f64 a c) #s(literal -1 binary64) (*.f64 b_2 b_2))
(fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 c) a))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c))
(-.f64 (*.f64 (neg.f64 a) c) (neg.f64 (*.f64 b_2 b_2)))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2))
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 c) a))
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c))
(*.f64 (fabs.f64 b_2) (fabs.f64 b_2))
(*.f64 (neg.f64 b_2) (neg.f64 b_2))
(*.f64 b_2 b_2)
(pow.f64 (neg.f64 (fabs.f64 b_2)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 b_2)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b_2) #s(literal 2 binary64))
(pow.f64 (neg.f64 b_2) #s(literal 2 binary64))
(pow.f64 b_2 #s(literal 2 binary64))
(fabs.f64 (*.f64 b_2 b_2))
b_2
(*.f64 a c)
(*.f64 c a)
c
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 (/.f64 (neg.f64 c) a) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(fabs.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c a))
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) a))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 a))
(/.f64 (neg.f64 c) a)
(neg.f64 (/.f64 c a))
(*.f64 #s(literal -1 binary64) c)
(*.f64 c #s(literal -1 binary64))
(neg.f64 c)
(*.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) (/.f64 #s(literal 1 binary64) a))
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c)))) (neg.f64 a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(pow.f64 (*.f64 (neg.f64 a) c) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (neg.f64 a) c))
(fabs.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)))
(*.f64 #s(literal -1 binary64) (*.f64 a c))
(*.f64 (neg.f64 a) c)
(*.f64 (*.f64 a c) #s(literal -1 binary64))
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(fma.f64 (*.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) c) (neg.f64 a))
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(fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a))
(-.f64 (/.f64 (*.f64 b_2 b_2) c) a)
(-.f64 (neg.f64 a) (neg.f64 (/.f64 (*.f64 b_2 b_2) c)))
(+.f64 (/.f64 (*.f64 b_2 b_2) c) (neg.f64 a))
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(*.f64 b_2 (/.f64 b_2 c))
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(/.f64 (*.f64 b_2 b_2) c)
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#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
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#s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2)
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) b_2))
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#s(approx (sqrt (- (* b_2 b_2) (* c a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b_2 #s(literal -5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) b_2))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
#s(approx (- (* b_2 b_2) (* a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
#s(approx (* c a) (*.f64 a c))
#s(approx a a)
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#s(approx (/ (neg c) a) (/.f64 (neg.f64 c) a))
#s(approx (sqrt (* (neg a) c)) (sqrt.f64 (*.f64 (neg.f64 a) c)))
#s(approx (* (neg a) c) (*.f64 (neg.f64 a) c))
#s(approx (neg a) (neg.f64 a))
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#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal 0 binary64) b_2 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)) a))
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#s(approx (/ (neg b_2) a) (/.f64 (neg.f64 b_2) a))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (/.f64 b_2 a))
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#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b_2 #s(literal -5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) b_2))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2) a))
#s(approx (- (/ (* b_2 b_2) c) a) (/.f64 (*.f64 b_2 b_2) c))
#s(approx (- (/ (* b_2 b_2) c) a) (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))
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#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))) a))
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#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))) a))
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#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal -5 binary64)) (*.f64 (*.f64 c c) c)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) (pow.f64 #s(literal -1 binary64) #s(literal -5/2 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal -7 binary64)) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))))) a))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) a) c) a))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal -5 binary64)) (*.f64 (*.f64 c c) c)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal -5 binary64)) (*.f64 (*.f64 c c) c)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) (pow.f64 #s(literal -1 binary64) #s(literal -5/2 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal -7 binary64)) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))))))
#s(approx (* (- (/ (* b_2 b_2) c) a) c) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) a) c) a))
#s(approx (- (/ (* b_2 b_2) c) a) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1 binary64)) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) b_2) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) #s(literal -1/2 binary64))) a)) b_2) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 a) (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) #s(literal 1/2 binary64))) a)) b_2) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal -5 binary64)) (*.f64 (*.f64 c c) c)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal -5 binary64)) (*.f64 (*.f64 c c) c)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 b_2 b_2))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal -7 binary64)) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) (neg.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) a) c))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (+.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal -5 binary64)) (*.f64 (*.f64 c c) c)))) #s(literal 1/8 binary64))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 b_2 b_2))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal -7 binary64)) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal -5 binary64)) (*.f64 (*.f64 c c) c)))) #s(literal 1/8 binary64)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (* (- (/ (* b_2 b_2) c) a) c) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) a)) c)))
#s(approx (- (/ (* b_2 b_2) c) a) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 1 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) a)) b_2 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal -5 binary64)) (*.f64 (*.f64 c c) c)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) b_2) (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) (neg.f64 b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) b_2 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 b_2 (fma.f64 (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 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) b_2 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (fma.f64 (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 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 b_2 b_2) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (pow.f64 #s(literal -1 binary64) #s(literal -5/2 binary64))) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -5 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (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)) #s(literal -1 binary64))) #s(literal -1/8 binary64))) (*.f64 b_2 b_2) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 b_2 b_2) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (- (* b_2 b_2) (* a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
#s(approx (neg b_2) (neg.f64 b_2))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal -5 binary64)) (*.f64 (*.f64 c c) c)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 b_2 b_2) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal -7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 b_2 b_2) (pow.f64 #s(literal -1 binary64) #s(literal -5/2 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal -5 binary64)) (*.f64 (*.f64 c c) c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64))) (*.f64 b_2 b_2))) (*.f64 b_2 b_2) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (- (/ (* b_2 b_2) c) a) (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b_2 b_2)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b_2 b_2)))) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 5/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b_2 b_2))))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b_2 b_2)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a c))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b_2 b_2)) #s(literal -1/8 binary64)))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 5/64 binary64)) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 b_2 b_2))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b_2 b_2)) #s(literal -1/8 binary64))))) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1/8 binary64))) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 b_2 b_2))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1/8 binary64)))) #s(literal 1 binary64)) b_2))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (+.f64 (/.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2)) #s(literal 1 binary64)) (*.f64 b_2 b_2)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (*.f64 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)) b_2))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (*.f64 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) a))) b_2))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (*.f64 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 b_2 b_2))) #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) a)))) b_2))
#s(approx (- (/ (* b_2 b_2) c) a) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (neg.f64 a) (*.f64 b_2 b_2))) (*.f64 b_2 b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 b_2 b_2))) #s(literal -1/16 binary64) (/.f64 #s(literal 2 binary64) a))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 b_2) (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1/8 binary64)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 b_2 b_2))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1/8 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (neg.f64 b_2) (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1/8 binary64)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 b_2 b_2))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1/8 binary64)))) #s(literal 1 binary64))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 b_2 b_2))) #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b_2 b_2) b_2)) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) c) (pow.f64 b_2 #s(literal -5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 a (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (*.f64 (fma.f64 c (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 b_2 b_2))) #s(literal 5/64 binary64)) (*.f64 a b_2))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a a) (pow.f64 b_2 #s(literal -5 binary64))) #s(literal -1/16 binary64))) (*.f64 (/.f64 a (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) c) (pow.f64 b_2 #s(literal -5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b_2 b_2) b_2))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 c (fma.f64 c (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 b_2 b_2))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (pow.f64 b_2 #s(literal -5 binary64))) #s(literal -1/16 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b_2 b_2) b_2))) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c b_2))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) c) (pow.f64 b_2 #s(literal -5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b_2 b_2) b_2))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c b_2))
#s(approx c c)
#s(approx (neg c) (neg.f64 c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (fma.f64 (/.f64 c b_2) #s(literal -1/2 binary64) (/.f64 b_2 a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b_2 b_2) b_2)) (/.f64 #s(literal 1/2 binary64) b_2)) c (/.f64 b_2 a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) c) (pow.f64 b_2 #s(literal -5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 a (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b_2)) c (/.f64 b_2 a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (fma.f64 (/.f64 c b_2) #s(literal -1/2 binary64) (/.f64 b_2 a)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b_2 b_2) b_2)) (/.f64 #s(literal 1/2 binary64) b_2)) c (/.f64 b_2 a)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) c) (pow.f64 b_2 #s(literal -5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 a (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b_2)) c (/.f64 b_2 a)))
#s(approx (- (/ (* b_2 b_2) c) a) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) (*.f64 a c))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (+.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64)))) (/.f64 (neg.f64 b_2) (*.f64 a c))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -5 binary64)))) (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64))))) (/.f64 (neg.f64 b_2) (*.f64 a c))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c)) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c)))) c))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))) c))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a))))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal -5 binary64)) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) (pow.f64 #s(literal -1 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))))) c))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64)))) c))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -5 binary64)))) (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64))))) c))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -5 binary64)))) (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) (pow.f64 #s(literal -1 binary64) #s(literal -5/2 binary64))) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64)))))) c))
#s(approx (* (- (/ (* b_2 b_2) c) a) c) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64))) (/.f64 b_2 (*.f64 a c)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) a)) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal -5 binary64)) c))) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) #s(literal 1/2 binary64))) c)) (/.f64 (neg.f64 b_2) a)) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 c) (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64))) c)) b_2) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal -5 binary64)) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 b_2 b_2)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) (neg.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 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_2 b_2)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 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_2 b_2)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64)))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* a c))) a) (*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -5 binary64)))) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 b_2 b_2))) (fma.f64 (*.f64 #s(literal 1/2 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_2 b_2)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64))))))))
#s(approx (* (- (/ (* b_2 b_2) c) a) c) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) c)) a)))

eval44.0ms (1.2%)

Memory
-10.6MiB live, 35.7MiB allocated; 6ms collecting garbage
Compiler

Compiled 4 383 to 1 389 computations (68.3% saved)

prune12.0ms (0.3%)

Memory
23.7MiB live, 23.7MiB allocated; 0ms collecting garbage
Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New2855290
Fresh178
Picked055
Done123
Total28719306
Accuracy
99.4%
Counts
306 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.1%
(/.f64 (fma.f64 (neg.f64 b_2) a (*.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) (*.f64 a a))
55.9%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
55.9%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2) a)
8.8%
(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2) a)
49.7%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c)))) a)
34.7%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
21.5%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c)) c)) a)
37.4%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
30.0%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
55.3%
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))
34.7%
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) a))
34.6%
(*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a))
29.9%
(*.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) (/.f64 #s(literal 1 binary64) a))
21.0%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a)))
33.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
31.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))) (/.f64 b_2 (*.f64 c a)))))
36.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
14.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
19.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
Compiler

Compiled 455 to 453 computations (0.4% saved)

series40.0ms (1.1%)

Memory
-20.6MiB live, 71.7MiB allocated; 7ms collecting garbage
Counts
28 → 124
Calls
Call 1
Inputs
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
(-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)
(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(neg.f64 a)
a
c
(*.f64 b_2 b_2)
b_2
(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2) a)
(-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2)
#s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (neg.f64 c) a)
(neg.f64 c)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a)))
(+.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a))
(/.f64 (neg.f64 b_2) a)
(neg.f64 b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(/.f64 c (*.f64 b_2 b_2))
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1/2 (/ (* a c) b_2))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 b_2))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ b_2 (* -1/2 (/ (* a c) b_2)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (pow b_2 2)))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (+ (* -1 (* a c)) (pow b_2 2))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx a #s(hole binary64 a))
#s(approx (neg (sqrt (/ (neg c) a))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (neg c) a) #s(hole binary64 (* -1 (/ c a))))
#s(approx (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) #s(hole binary64 (/ (- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (/ (neg b_2) a) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) #s(hole binary64 (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) #s(hole binary64 (/ 2 a)))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) #s(hole binary64 (/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* -1 (* a c))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* a (+ (* -1 c) (/ (pow b_2 2) a)))))
#s(approx (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) #s(hole binary64 (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) #s(hole binary64 (* 1/2 (/ c b_2))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) #s(hole binary64 (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) #s(hole binary64 (* -1/2 (/ c (pow b_2 2)))))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) #s(hole binary64 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))))
#s(approx (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) #s(hole binary64 (/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))))
#s(approx (/ c (* b_2 b_2)) #s(hole binary64 (/ c (pow b_2 2))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
#s(approx (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) #s(hole binary64 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -2 b_2)))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* c (+ (* -1 a) (/ (pow b_2 2) c)))))
#s(approx (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) #s(hole binary64 (* c (- (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) #s(hole binary64 (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) #s(hole binary64 (* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))))
#s(approx (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* c (- (/ b_2 (* a c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) #s(hole binary64 (* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) #s(hole binary64 (* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
c
@0
((/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (neg a) a c (* b_2 b_2) b_2 (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) (- (sqrt (- (* b_2 b_2) (* c a))) b_2) (sqrt (- (* b_2 b_2) (* c a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (/ (neg c) a))) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) (/ (neg b_2) a) (neg b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/ c (* b_2 b_2)) -1/2 (/ 2 a) 2)
7.0ms
a
@inf
((/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (neg a) a c (* b_2 b_2) b_2 (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) (- (sqrt (- (* b_2 b_2) (* c a))) b_2) (sqrt (- (* b_2 b_2) (* c a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (/ (neg c) a))) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) (/ (neg b_2) a) (neg b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/ c (* b_2 b_2)) -1/2 (/ 2 a) 2)
5.0ms
c
@-inf
((/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (neg a) a c (* b_2 b_2) b_2 (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) (- (sqrt (- (* b_2 b_2) (* c a))) b_2) (sqrt (- (* b_2 b_2) (* c a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (/ (neg c) a))) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) (/ (neg b_2) a) (neg b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/ c (* b_2 b_2)) -1/2 (/ 2 a) 2)
3.0ms
c
@inf
((/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (neg a) a c (* b_2 b_2) b_2 (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) (- (sqrt (- (* b_2 b_2) (* c a))) b_2) (sqrt (- (* b_2 b_2) (* c a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (/ (neg c) a))) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) (/ (neg b_2) a) (neg b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/ c (* b_2 b_2)) -1/2 (/ 2 a) 2)
3.0ms
a
@0
((/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (neg a) a c (* b_2 b_2) b_2 (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) a) (- (sqrt (- (* b_2 b_2) (* c a))) b_2) (sqrt (- (* b_2 b_2) (* c a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (/ (neg c) a))) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) (/ (neg b_2) a) (neg b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/ c (* b_2 b_2)) -1/2 (/ 2 a) 2)

rewrite178.0ms (5%)

Memory
16.3MiB live, 156.6MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07284788
07634449
047074325
1143644325
Stop Event
saturated
iter-limit
node-limit
iter-limit
Counts
152 → 256
Calls
Call 1
Inputs
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
(-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)
(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(neg.f64 a)
a
c
(*.f64 b_2 b_2)
b_2
(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2) a)
(-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2)
#s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (neg.f64 c) a)
(neg.f64 c)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a)))
(+.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a))
(/.f64 (neg.f64 b_2) a)
(neg.f64 b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(/.f64 c (*.f64 b_2 b_2))
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1/2 (/ (* a c) b_2))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 b_2))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ b_2 (* -1/2 (/ (* a c) b_2)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (pow b_2 2)))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (+ (* -1 (* a c)) (pow b_2 2))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx a #s(hole binary64 a))
#s(approx (neg (sqrt (/ (neg c) a))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (neg c) a) #s(hole binary64 (* -1 (/ c a))))
#s(approx (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) #s(hole binary64 (/ (- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (/ (neg b_2) a) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) #s(hole binary64 (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) #s(hole binary64 (/ 2 a)))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) #s(hole binary64 (/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* -1 (* a c))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* a (+ (* -1 c) (/ (pow b_2 2) a)))))
#s(approx (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) #s(hole binary64 (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) #s(hole binary64 (* 1/2 (/ c b_2))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) #s(hole binary64 (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) #s(hole binary64 (* -1/2 (/ c (pow b_2 2)))))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) #s(hole binary64 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))))
#s(approx (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) #s(hole binary64 (/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))))
#s(approx (/ c (* b_2 b_2)) #s(hole binary64 (/ c (pow b_2 2))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
#s(approx (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) #s(hole binary64 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -2 b_2)))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* c (+ (* -1 a) (/ (pow b_2 2) c)))))
#s(approx (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) #s(hole binary64 (* c (- (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) #s(hole binary64 (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) #s(hole binary64 (* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) #s(hole binary64 (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))))
#s(approx (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* c (- (/ b_2 (* a c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) #s(hole binary64 (* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) #s(hole binary64 (* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))))
Outputs
(*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2) (/.f64 #s(literal 1 binary64) a))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2)) (neg.f64 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2) a)
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a))
(fma.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a) (/.f64 b_2 a))
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a))
(neg.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))))
(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2)
(-.f64 (neg.f64 b_2) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))))
(+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2))
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))
(neg.f64 (-.f64 (*.f64 c a) (*.f64 b_2 b_2)))
(fma.f64 (fabs.f64 b_2) (fabs.f64 b_2) (*.f64 (neg.f64 c) a))
(fma.f64 (fabs.f64 b_2) (fabs.f64 b_2) (*.f64 c (neg.f64 a)))
(fma.f64 #s(literal -1 binary64) (*.f64 c a) (*.f64 b_2 b_2))
(fma.f64 (neg.f64 b_2) (neg.f64 b_2) (*.f64 (neg.f64 c) a))
(fma.f64 (neg.f64 b_2) (neg.f64 b_2) (*.f64 c (neg.f64 a)))
(fma.f64 (*.f64 c a) #s(literal -1 binary64) (*.f64 b_2 b_2))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 c) a))
(fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))
(fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(-.f64 (*.f64 c (neg.f64 a)) (*.f64 (neg.f64 b_2) b_2))
(-.f64 (*.f64 c (neg.f64 a)) (neg.f64 (*.f64 b_2 b_2)))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+.f64 (*.f64 c (neg.f64 a)) (*.f64 b_2 b_2))
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 c) a))
(+.f64 (*.f64 b_2 b_2) (*.f64 c (neg.f64 a)))
(*.f64 #s(literal -1 binary64) a)
(*.f64 a #s(literal -1 binary64))
(neg.f64 a)
a
c
(*.f64 (fabs.f64 b_2) (fabs.f64 b_2))
(*.f64 (neg.f64 b_2) (neg.f64 b_2))
(*.f64 b_2 b_2)
(pow.f64 (fabs.f64 b_2) #s(literal 2 binary64))
(pow.f64 (neg.f64 b_2) #s(literal 2 binary64))
(pow.f64 b_2 #s(literal 2 binary64))
(fabs.f64 (*.f64 b_2 b_2))
b_2
(*.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2) (/.f64 #s(literal 1 binary64) a))
(/.f64 (neg.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2)) (neg.f64 a))
(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2) a)
(-.f64 (/.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) a) (/.f64 b_2 a))
(neg.f64 (-.f64 b_2 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2)))
(-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2)
(+.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) (neg.f64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 (/.f64 (neg.f64 c) a) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(fabs.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c a))
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) a))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 a))
(/.f64 (neg.f64 c) a)
(neg.f64 (/.f64 c a))
(*.f64 #s(literal -1 binary64) c)
(*.f64 c #s(literal -1 binary64))
(neg.f64 c)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
(neg.f64 (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) a))
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (*.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)) (/.f64 (neg.f64 b_2) a))
(fma.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(-.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (*.f64 #s(literal 1 binary64) (/.f64 b_2 a)))
(-.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (neg.f64 (/.f64 (neg.f64 b_2) a)))
(+.f64 (/.f64 (neg.f64 b_2) a) (*.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (/.f64 (neg.f64 b_2) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(+.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a))
(*.f64 (/.f64 b_2 a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b_2 a))
(*.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) a))
(/.f64 (neg.f64 (neg.f64 b_2)) (neg.f64 a))
(/.f64 (neg.f64 b_2) a)
(neg.f64 (/.f64 b_2 a))
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 b_2 #s(literal -1 binary64))
(neg.f64 b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
(*.f64 (*.f64 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) b_2) #s(literal -1 binary64))
(*.f64 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) b_2))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(neg.f64 (*.f64 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) b_2))
(fma.f64 (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) (neg.f64 b_2) (*.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)))
(fma.f64 (neg.f64 b_2) (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 b_2) (/.f64 #s(literal 2 binary64) a)))
(+.f64 (*.f64 (neg.f64 b_2) (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64))) (*.f64 (neg.f64 b_2) (/.f64 #s(literal 2 binary64) a)))
(+.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) (neg.f64 b_2)) (*.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 2 binary64) (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))
(-.f64 (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) a)))
(-.f64 (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 #s(literal 2 binary64) a)))
(+.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) a))
(*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)))
(/.f64 (/.f64 c b_2) b_2)
(/.f64 (neg.f64 c) (neg.f64 (*.f64 b_2 b_2)))
(/.f64 c (*.f64 b_2 b_2))
#s(literal -1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal -2 binary64) (neg.f64 a))
(/.f64 #s(literal 2 binary64) a)
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a))
#s(literal 2 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) b_2))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) a) b_2) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) b_2))) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) b_2))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) a) b_2) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) b_2))) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2)
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) b_2))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 b_2 b_2))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))
#s(approx (neg a) (neg.f64 a))
#s(approx a a)
#s(approx (neg (sqrt (/ (neg c) a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (sqrt (/ (neg c) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (neg c) a) (/.f64 (neg.f64 c) a))
#s(approx (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a))
#s(approx (/ (neg b_2) a) (/.f64 (neg.f64 b_2) a))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)) a))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64)) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 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))))) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 b_2 a))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))) a))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 b_2 a)) a))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 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))))) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 b_2 a))) a))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))) a))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 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 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))) a))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 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 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 #s(literal -1 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)))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))))) a))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (+.f64 (/.f64 (*.f64 b_2 b_2) a) (neg.f64 c)) a))
#s(approx (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) b_2) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) #s(literal -1/2 binary64))) a)) b_2) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (neg.f64 a) (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) #s(literal 1/2 binary64))) a)) b_2) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (pow.f64 b_2 #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 -1/8 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (pow.f64 b_2 #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 -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) a)) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) a)) b_2 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 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 -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) b_2) (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (neg.f64 b_2)))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (fma.f64 b_2 (fma.f64 b_2 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 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_2 b_2)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) #s(literal -1 binary64)) (sqrt.f64 (*.f64 c (neg.f64 a)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 c (neg.f64 a)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 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_2 b_2)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (*.f64 b_2 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 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 -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 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_2 b_2) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) (*.f64 b_2 b_2))) (*.f64 b_2 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))))
#s(approx (neg b_2) (neg.f64 b_2))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) c)) (*.f64 b_2 b_2)))
#s(approx (/ c (* b_2 b_2)) (/.f64 c (*.f64 b_2 b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b_2 b_2)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b_2 b_2)))) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64)) (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b_2 b_2))))) b_2))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b_2 b_2)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 c a))) b_2))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b_2 b_2)) #s(literal -1/8 binary64)))) b_2))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b_2 b_2)) #s(literal -1/8 binary64))))) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64))) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64)))) b_2))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (+.f64 (/.f64 (*.f64 c (neg.f64 a)) (*.f64 b_2 b_2)) #s(literal 1 binary64)) (*.f64 b_2 b_2)))
#s(approx (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b_2)) (/.f64 #s(literal 1 binary64) a)) b_2))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 (-.f64 (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) a)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 2 binary64) a))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 #s(literal -2 binary64) b_2))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (neg.f64 b_2) (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64)))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (neg.f64 b_2) (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64))))))
#s(approx (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) (neg.f64 (fma.f64 b_2 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b_2) (/.f64 b_2 a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b_2 b_2) b_2)) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (*.f64 (/.f64 a (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (*.f64 (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) c) (*.f64 b_2 a)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b_2 b_2) b_2))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) c) b_2) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b_2 b_2) b_2))) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b_2 b_2) b_2)) #s(literal -1/8 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c b_2))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b_2 b_2) b_2))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c b_2))
#s(approx c c)
#s(approx (neg c) (neg.f64 c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) (*.f64 c a))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (+.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64)))) (/.f64 (neg.f64 b_2) (*.f64 c a))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64)))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))) (/.f64 (neg.f64 b_2) (*.f64 c a))) c))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c)) c))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c))) c))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.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_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c)))) c))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.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_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))) c))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.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_2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 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_2 #s(literal 6 binary64)) (pow.f64 #s(literal -1 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))))) c))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (+.f64 (/.f64 (*.f64 b_2 b_2) c) (neg.f64 a)) c))
#s(approx (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) (*.f64 (-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64)))) c))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 (fma.f64 (/.f64 b_2 (*.f64 c a)) #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 c a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))) (/.f64 b_2 (*.f64 c a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) a)) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 b_2 #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 -1/8 binary64))) c)) (/.f64 (neg.f64 b_2) a)) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (neg.f64 c) (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64))) c)) b_2) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.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_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (*.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_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))))
#s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) c)) a)))
#s(approx (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) (*.f64 (neg.f64 c) (-.f64 (/.f64 b_2 (*.f64 c a)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 (neg.f64 c) (-.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) b_2))))
#s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (*.f64 (neg.f64 c) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) (*.f64 c a)))))

eval28.0ms (0.8%)

Memory
3.1MiB live, 47.7MiB allocated; 6ms collecting garbage
Compiler

Compiled 3 458 to 1 194 computations (65.5% saved)

prune42.0ms (1.2%)

Memory
-9.3MiB live, 38.4MiB allocated; 41ms collecting garbage
Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New24810258
Fresh437
Picked235
Done167
Total25522277
Accuracy
99.5%
Counts
277 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.1%
(/.f64 (fma.f64 (neg.f64 b_2) a (*.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) (*.f64 a a))
55.9%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
55.9%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2) a)
34.7%
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) b_2) a)
8.8%
(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2) a)
49.7%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c)))) a)
21.5%
(/.f64 #s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c)) c)) a)
37.4%
(/.f64 #s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 #s(literal -2 binary64) b_2)) a)
30.0%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
55.3%
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a) (/.f64 b_2 a))
34.7%
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) a))
34.6%
(*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a))
29.9%
(*.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) (/.f64 #s(literal 1 binary64) a))
21.0%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
33.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
14.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
19.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
19.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) a)))))
31.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) (*.f64 (-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64)))) c)))
37.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))
26.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)))
8.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
Compiler

Compiled 770 to 523 computations (32.1% saved)

regimes40.0ms (1.1%)

Memory
27.6MiB live, 74.8MiB allocated; 4ms collecting garbage
Counts
37 → 3
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 #s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) b_2) a)
(*.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) (/.f64 #s(literal 1 binary64) a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))
(*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))) (/.f64 (neg.f64 b_2) a)))
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a) (/.f64 b_2 a))
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a))
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c)))) a)
(/.f64 (fma.f64 (neg.f64 b_2) a (*.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) (*.f64 a a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c)) c)) a)
(/.f64 #s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c)) c)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (/ (neg c) a))) (/ (neg b_2) a)) (*.f64 (-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64)))) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))) (/.f64 b_2 (*.f64 c a)))))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

4 calls:

11.0ms
b_2
9.0ms
c
9.0ms
a
8.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
78.8%5(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
55.9%1a
88.1%3b_2
57.5%2c
Compiler

Compiled 13 to 19 computations (-46.2% saved)

regimes8.0ms (0.2%)

Memory
-33.7MiB live, 13.4MiB allocated; 1ms collecting garbage
Counts
22 → 3
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 #s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) b_2) a)
(*.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) (/.f64 #s(literal 1 binary64) a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))
(*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))) (/.f64 (neg.f64 b_2) a)))
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2) a)
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

1 calls:

7.0ms
b_2
Results
AccuracySegmentsBranch
88.1%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.2%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Counts
21 → 3
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 #s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) b_2) a)
(*.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) (/.f64 #s(literal 1 binary64) a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))
(*.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))) (/.f64 (neg.f64 b_2) a)))
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) a))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) b_2) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

1 calls:

6.0ms
b_2
Results
AccuracySegmentsBranch
82.7%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.2%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Counts
17 → 3
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 #s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) b_2) a)
(*.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) (/.f64 #s(literal 1 binary64) a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a)))
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (neg a) c) (* b_2 b_2)) (*.f64 c (neg.f64 a)))) b_2) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

1 calls:

5.0ms
b_2
Results
AccuracySegmentsBranch
82.6%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Counts
12 → 3
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 #s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) a)))))
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

1 calls:

4.0ms
b_2
Results
AccuracySegmentsBranch
82.4%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.2%)

Memory
-33.6MiB live, 13.7MiB allocated; 1ms collecting garbage
Counts
10 → 3
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 #s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

2 calls:

4.0ms
b_2
3.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
62.6%5(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
75.6%3b_2
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes3.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 #s(approx (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

1 calls:

2.0ms
b_2
Results
AccuracySegmentsBranch
73.0%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.2%)

Memory
19.5MiB live, 19.5MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

4 calls:

2.0ms
a
2.0ms
b_2
2.0ms
c
2.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
33.1%1a
35.5%2c
40.6%3(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
41.7%2b_2
Compiler

Compiled 13 to 19 computations (-46.2% saved)

regimes8.0ms (0.2%)

Memory
-31.5MiB live, 19.0MiB allocated; 3ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
Outputs
(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
Calls

4 calls:

3.0ms
a
1.0ms
b_2
1.0ms
c
1.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
18.7%2a
17.8%2c
18.7%2(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
18.3%2b_2
Compiler

Compiled 13 to 19 computations (-46.2% saved)

regimes4.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2) a)
Outputs
(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2) b_2) a)
Calls

4 calls:

1.0ms
a
1.0ms
b_2
1.0ms
c
1.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
8.8%1c
8.8%1b_2
8.8%1a
8.8%1(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 13 to 19 computations (-46.2% saved)

bsearch29.0ms (0.8%)

Memory
-0.8MiB live, 46.3MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.2253056427161693e-111
4.743520476495146e-111
14.0ms
-3.852527197859389e+161
-8.374673881270573e+155
Samples
10.0ms194×0valid
3.0ms16×1valid
2.0ms14×2valid
2.0ms26×0invalid
Compiler

Compiled 455 to 465 computations (-2.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult!: 3.0ms (28.5% of total)
adjust: 2.0ms (19% of total)
ival-sqrt: 2.0ms (19% of total)
ival-sub!: 1.0ms (9.5% of total)
ival-add!: 1.0ms (9.5% of total)
ival-div!: 1.0ms (9.5% of total)
ival-neg: 1.0ms (9.5% of total)

bsearch2.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
1.2253056427161693e-111
4.743520476495146e-111
1.0ms
-3.852527197859389e+161
-8.374673881270573e+155
Compiler

Compiled 455 to 465 computations (-2.2% saved)

bsearch17.0ms (0.5%)

Memory
-18.6MiB live, 28.3MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2253056427161693e-111
4.743520476495146e-111
13.0ms
-1.2622939436270063e-73
-6.737102315876015e-75
Samples
6.0ms112×0valid
2.0ms34×0invalid
Compiler

Compiled 431 to 441 computations (-2.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult!: 2.0ms (44.1% of total)
ival-sqrt: 1.0ms (22% of total)
ival-neg: 1.0ms (22% of total)
ival-div!: 1.0ms (22% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2253056427161693e-111
4.743520476495146e-111
1.0ms
-1.2622939436270063e-73
-6.737102315876015e-75
Compiler

Compiled 333 to 357 computations (-7.2% saved)

bsearch21.0ms (0.6%)

Memory
43.3MiB live, 43.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2253056427161693e-111
4.743520476495146e-111
18.0ms
-5.656541843429342e-102
-5.552664682952589e-113
Samples
9.0ms160×0valid
2.0ms45×0invalid
Compiler

Compiled 426 to 456 computations (-7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult!: 2.0ms (31.8% of total)
ival-sqrt: 1.0ms (15.9% of total)
ival-neg: 1.0ms (15.9% of total)
ival-div!: 1.0ms (15.9% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch72.0ms (2%)

Memory
-14.8MiB live, 72.0MiB allocated; 38ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
35.0ms
1.2253056427161693e-111
4.743520476495146e-111
33.0ms
-2.2117329909723974e-113
-3.8962262009668364e-135
Samples
43.0ms66×0invalid
12.0ms223×0valid
1.0ms13×1valid
1.0ms2valid
Compiler

Compiled 469 to 501 computations (-6.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult!: 30.0ms (59.9% of total)
ival-sub!: 14.0ms (28% of total)
ival-sqrt: 2.0ms (4% of total)
ival-div!: 2.0ms (4% of total)
ival-neg: 2.0ms (4% of total)
adjust: 1.0ms (2% of total)
ival-add!: 1.0ms (2% of total)

bsearch44.0ms (1.2%)

Memory
-11.5MiB live, 31.7MiB allocated; 12ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
3.6836115386089846e-154
2.195122228667937e-149
13.0ms
-5.656541843429342e-102
-5.552664682952589e-113
Samples
15.0ms77×0invalid
11.0ms206×0valid
3.0ms31×1valid
0.0ms2valid
Compiler

Compiled 510 to 546 computations (-7.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sqrt: 13.0ms (59.9% of total)
ival-mult!: 3.0ms (13.8% of total)
ival-div!: 2.0ms (9.2% of total)
ival-neg: 2.0ms (9.2% of total)
adjust: 1.0ms (4.6% of total)
ival-sub!: 1.0ms (4.6% of total)
ival-add!: 1.0ms (4.6% of total)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.6836115386089846e-154
2.195122228667937e-149
Compiler

Compiled 240 to 256 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
6.18898076465642e-268
Compiler

Compiled 13 to 16 computations (-23.1% saved)

derivations127.0ms (3.6%)

Memory
12.6MiB live, 58.7MiB allocated; 4ms collecting garbage
Stop Event
fuel
Compiler

Compiled 166 to 104 computations (37.3% saved)

preprocess90.0ms (2.5%)

Memory
9.5MiB live, 103.0MiB allocated; 29ms collecting garbage
Compiler

Compiled 239 to 140 computations (41.4% saved)

end0.0ms (0%)

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

Profiling

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