quad2p (problem 3.2.1, positive)

Time bar (total: 3.3s)

start0.0ms (0%)

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

analyze114.0ms (3.5%)

Memory
0.2MiB live, 97.3MiB allocated; 29ms 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)

sample1.5s (45.8%)

Memory
68.6MiB live, 1 464.6MiB allocated; 314ms collecting garbage
Samples
623.0ms5 503×0valid
277.0ms1 272×2valid
154.0ms1 272×1valid
66.0ms1 039×0invalid
47.0ms209×3valid
Precisions
Click to see histograms. Total time spent on operations: 817.0ms
ival-mult!: 313.0ms (38.3% of total)
ival-sqrt: 131.0ms (16% of total)
ival-sub!: 127.0ms (15.5% of total)
adjust: 86.0ms (10.5% of total)
ival-div!: 69.0ms (8.4% of total)
ival-neg: 56.0ms (6.9% of total)
ival-add!: 36.0ms (4.4% of total)
Bogosity

preprocess43.0ms (1.3%)

Memory
-14.3MiB live, 44.1MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048131
1152129
2354129
3919129
42891129
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.7%
(/.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)

series46.0ms (1.4%)

Memory
-19.4MiB live, 27.1MiB allocated; 3ms 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
26.0ms
c
@0
((/ (+ (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)
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)

rewrite205.0ms (6.3%)

Memory
-6.8MiB live, 154.7MiB allocated; 140ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06224149
06323895
035233779
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
111 → 142
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 (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))
(/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 b_2) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) #s(literal 3 binary64))) (fma.f64 b_2 b_2 (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) (*.f64 (neg.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))) (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)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 a) c) (*.f64 (neg.f64 a) c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (-.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2)))
(/.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 (*.f64 c a) (*.f64 c a))) (fma.f64 b_2 b_2 (*.f64 c a)))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 a) c) #s(literal 3 binary64)) (pow.f64 (*.f64 b_2 b_2) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 a) c) (*.f64 (neg.f64 a) c) (-.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (*.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 b_2 b_2) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))) (fma.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2) (fma.f64 (*.f64 c a) (*.f64 c a) (*.f64 (*.f64 b_2 b_2) (*.f64 c a)))))
(fma.f64 (pow.f64 b_2 #s(literal 1 binary64)) (pow.f64 b_2 #s(literal 1 binary64)) (*.f64 (neg.f64 a) c))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(fma.f64 (fabs.f64 b_2) (fabs.f64 b_2) (*.f64 (neg.f64 a) c))
(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 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 (pow.f64 b_2 #s(literal 1 binary64)) (pow.f64 b_2 #s(literal 1 binary64)))
(*.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 b_2 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 2 binary64)))
(*.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 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 b_2) b_2))) #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 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 b_2) b_2))) #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) (+.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)))) (/.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 (*.f64 b_2 b_2) (*.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) (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))))) (/.f64 (neg.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 (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.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) (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 (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.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) (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 (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.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) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 b_2) b_2)) (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) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.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 (*.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 (/.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) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.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 (*.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 (/.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 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (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 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (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 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 b_2) b_2))) (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 #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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 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 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.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 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 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))) b_2) #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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -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)) (*.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 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 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 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)) (*.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 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 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) (* 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)) (*.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) (* a c))) (*.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) b_2) (*.f64 (*.f64 b_2 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 (/ (+ (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) b_2) (*.f64 (*.f64 b_2 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) b_2) (*.f64 (*.f64 b_2 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) (* 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)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #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) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 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 (/ (+ (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 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 b_2) b_2))) #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 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 b_2) b_2))) #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 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 b_2 b_2) (*.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)))) (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 (*.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)) (*.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 #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 (*.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)) (*.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 #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 (*.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)) (*.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 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 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 (/ (+ (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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (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) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.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 (*.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) (* 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 (*.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) (* 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 (*.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 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 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) (-.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) c)) (neg.f64 a))))

eval23.0ms (0.7%)

Memory
-18.6MiB live, 29.4MiB allocated; 15ms collecting garbage
Compiler

Compiled 2 665 to 799 computations (70% saved)

prune8.0ms (0.2%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New12312135
Fresh000
Picked011
Done000
Total12313136
Accuracy
99.2%
Counts
136 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.7%
(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b_2) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) #s(literal 3 binary64))) (fma.f64 b_2 b_2 (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) (*.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))))) a)
48.7%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
31.5%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
9.0%
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
23.3%
(/.f64 #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)))) a)
36.0%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
27.6%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
17.1%
#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)))
34.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
30.2%
#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)))))
35.3%
#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))))
19.0%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
15.2%
#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 422 to 394 computations (6.6% saved)

series34.0ms (1%)

Memory
-1.6MiB live, 42.9MiB allocated; 7ms collecting garbage
Counts
26 → 77
Calls
Call 1
Inputs
(/.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)))) (*.f64 #s(literal -2 binary64) b_2))
(*.f64 #s(literal -2 binary64) b_2)
#s(literal -2 binary64)
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)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(/.f64 c b_2)
c
#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 #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)
#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 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))) (/.f64 (neg.f64 b_2) a))
(neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
(/.f64 (neg.f64 b_2) a)
(neg.f64 b_2)
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 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 (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 (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (/ (- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (neg b_2) a) #s(hole binary64 (* -1 (/ b_2 a))))
#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 (* 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 (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) 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 (* (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 (/ (+ (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 (* -2 b_2) #s(hole binary64 (* -2 b_2)))
#s(approx b_2 #s(hole binary64 b_2))
#s(approx (/ c b_2) #s(hole binary64 (/ c b_2)))
#s(approx (neg b_2) #s(hole binary64 (* -1 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)))) 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 (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))))
#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 (* -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 (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#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 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 (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) 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 (* -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 (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* c (- (/ b_2 (* a c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
b_2
@-inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) -2 b_2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) c -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 (* (neg a) c)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a) (neg b_2))
4.0ms
b_2
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) -2 b_2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) c -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 (* (neg a) c)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a) (neg b_2))
3.0ms
c
@0
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) -2 b_2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) c -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 (* (neg a) c)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a) (neg b_2))
3.0ms
c
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) -2 b_2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) c -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 (* (neg a) c)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a) (neg b_2))
3.0ms
a
@0
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) -2 b_2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) c -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 (* (neg a) c)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a) (neg b_2))

rewrite117.0ms (3.6%)

Memory
-13.1MiB live, 128.2MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05293078
05532838
029152771
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
103 → 146
Calls
Call 1
Inputs
(/.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)))) (*.f64 #s(literal -2 binary64) b_2))
(*.f64 #s(literal -2 binary64) b_2)
#s(literal -2 binary64)
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)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(/.f64 c b_2)
c
#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 #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)
#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 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))) (/.f64 (neg.f64 b_2) a))
(neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
(/.f64 (neg.f64 b_2) a)
(neg.f64 b_2)
#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 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 (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 (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (/ (- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (neg b_2) a) #s(hole binary64 (* -1 (/ b_2 a))))
#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 (* 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 (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) 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 (* (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 (/ (+ (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 (* -2 b_2) #s(hole binary64 (* -2 b_2)))
#s(approx b_2 #s(hole binary64 b_2))
#s(approx (/ c b_2) #s(hole binary64 (/ c b_2)))
#s(approx (neg b_2) #s(hole binary64 (* -1 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)))) 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 (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))))
#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 (* -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 (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#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 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 (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) 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 (* -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 (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* c (- (/ b_2 (* a c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
Outputs
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (neg.f64 a))
(/.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)))) (*.f64 #s(literal -2 binary64) b_2))
(*.f64 #s(literal -2 binary64) b_2)
(*.f64 b_2 #s(literal -2 binary64))
#s(literal -2 binary64)
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)))
(*.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 (neg.f64 c) (neg.f64 b_2))
(/.f64 c b_2)
c
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.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 (neg.f64 (/.f64 c a)) #s(literal 1/2 binary64))
(sqrt.f64 (neg.f64 (/.f64 c a)))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c a))
(/.f64 (*.f64 #s(literal -1 binary64) c) a)
(/.f64 (*.f64 c #s(literal -1 binary64)) a)
(neg.f64 (/.f64 c a))
(/.f64 (neg.f64 c) (neg.f64 a))
(/.f64 c a)
#s(literal -1 binary64)
(/.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 (neg.f64 a)) (sqrt.f64 c))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(pow.f64 (*.f64 (neg.f64 a) c) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (neg.f64 a) c))
(*.f64 (neg.f64 a) c)
(*.f64 #s(literal -1 binary64) (*.f64 c a))
(*.f64 (*.f64 c a) #s(literal -1 binary64))
(*.f64 c (neg.f64 a))
(neg.f64 (*.f64 c a))
(*.f64 #s(literal -1 binary64) a)
(*.f64 a #s(literal -1 binary64))
(neg.f64 a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))))
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 b_2 a) (sqrt.f64 (neg.f64 (/.f64 c a)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))) (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a))) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) (/.f64 (neg.f64 b_2) a)))
(/.f64 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 3 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) (-.f64 (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a)) (*.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) (/.f64 (neg.f64 b_2) 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) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
(fma.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 (neg.f64 b_2) a))
(-.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) (*.f64 #s(literal 1 binary64) (/.f64 b_2 a)))
(+.f64 (/.f64 (neg.f64 b_2) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
(+.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) (/.f64 (neg.f64 b_2) a))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 (/.f64 c a))))
(neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))
(*.f64 (/.f64 b_2 a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b_2 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 (/.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 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 b_2) b_2))) #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 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 b_2) b_2))) #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 a a)
#s(approx (sqrt (* (/ c a) -1)) (sqrt.f64 (neg.f64 (/.f64 c a))))
#s(approx (* (/ c a) -1) (neg.f64 (/.f64 c a)))
#s(approx (/ c a) (/.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))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (neg.f64 a) c))) a))
#s(approx (neg (sqrt (* (/ c a) -1))) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
#s(approx (/ (neg b_2) a) (/.f64 (neg.f64 b_2) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (neg.f64 (/.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 (neg.f64 (/.f64 c 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 (*.f64 b_2 b_2) (*.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) (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 (neg.f64 (/.f64 c a))))) (/.f64 (neg.f64 b_2) a)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (neg.f64 (/.f64 c a)))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.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 (neg.f64 (/.f64 c a)))) (/.f64 b_2 a)) a))
#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 (*.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 (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 (neg.f64 (/.f64 c a)))) (/.f64 b_2 a))) a))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (neg.f64 (/.f64 c a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (neg.f64 (sqrt.f64 (neg.f64 (/.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) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) b_2) a)) (neg.f64 (sqrt.f64 (neg.f64 (/.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 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64))) a)) b_2) a)) (neg.f64 (sqrt.f64 (neg.f64 (/.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 (neg.f64 (/.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) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) b_2) a)) (sqrt.f64 (neg.f64 (/.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 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))) a)) b_2) a)) (sqrt.f64 (neg.f64 (/.f64 c a))))))
#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 (neg.f64 (/.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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) b_2) (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (neg.f64 (/.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 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.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 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 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))) b_2) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (* -2 b_2) (*.f64 #s(literal -2 binary64) b_2))
#s(approx b_2 b_2)
#s(approx (/ c b_2) (/.f64 c b_2))
#s(approx (neg b_2) (neg.f64 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)) (*.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 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 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 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)) (*.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 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 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 (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) b_2)) (/.f64 #s(literal 1 binary64) a)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
#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) b_2) (*.f64 (*.f64 b_2 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 (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 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1/8 binary64) (*.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) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 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 2 binary64))))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (neg.f64 b_2) (+.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) b_2) (/.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 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 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 b_2) b_2))) #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 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 b_2) b_2))) #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 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 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 b_2 b_2) (*.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)))) (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 (*.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)) (*.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 #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 (sqrt (* (/ c a) -1))) (/ (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) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))) (/.f64 b_2 (*.f64 c a))) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (*.f64 (+.f64 (neg.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) (/.f64 (neg.f64 b_2) a)) c)) (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) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))) c)) (/.f64 (neg.f64 b_2) a)) c)) (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)))) (neg.f64 (*.f64 (+.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)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) b_2) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg.f64 (*.f64 (+.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 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64))) c)) b_2) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c)))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (*.f64 (-.f64 (/.f64 b_2 (*.f64 c a)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64)))) c)))

eval13.0ms (0.4%)

Memory
34.1MiB live, 34.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 088 to 729 computations (65.1% saved)

prune11.0ms (0.3%)

Memory
-23.5MiB live, 22.6MiB allocated; 4ms collecting garbage
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New1384142
Fresh257
Picked235
Done011
Total14213155
Accuracy
99.2%
Counts
155 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.7%
(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b_2) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) #s(literal 3 binary64))) (fma.f64 b_2 b_2 (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) (*.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))))))) a)
48.7%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
31.5%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
23.3%
(/.f64 #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)))) a)
36.0%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
27.6%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
34.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
35.3%
#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))))
19.0%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
15.2%
#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)))))
17.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (neg.f64 (/.f64 c a))))))
30.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (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)))
15.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) b_2)) (/.f64 #s(literal 1 binary64) a)) b_2)))
Compiler

Compiled 447 to 413 computations (7.6% saved)

series62.0ms (1.9%)

Memory
6.6MiB live, 106.4MiB allocated; 12ms collecting garbage
Counts
40 → 150
Calls
Call 1
Inputs
#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)))
(neg.f64 b_2)
b_2
(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))
c
(*.f64 b_2 b_2)
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
(sqrt.f64 (neg.f64 (/.f64 c a)))
(neg.f64 (/.f64 c a))
(/.f64 c a)
(/.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)
(neg.f64 a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) b_2)) (/.f64 #s(literal 1 binary64) a)) b_2)))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) b_2)) (/.f64 #s(literal 1 binary64) a)) b_2))
(*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) b_2)) (/.f64 #s(literal 1 binary64) a)) b_2)
(-.f64 (neg.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) b_2)) (/.f64 #s(literal 1 binary64) a))
(neg.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) b_2))
(/.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) b_2)
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (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 (sqrt (* (/ c a) -1))) (/ (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))
(*.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)
(-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))
(/.f64 (neg.f64 b_2) (*.f64 c a))
(*.f64 c a)
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 c a))
#s(literal -1 binary64)
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) (+ (* (/ 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 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 (/ c a) #s(hole binary64 (/ c a)))
#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 (* (neg a) c) #s(hole binary64 (* -1 (* a c))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (/ (- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (* (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) b_2) #s(hole binary64 (* -1 (/ (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))) a))))
#s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) #s(hole binary64 (* -1 (/ (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) a))))
#s(approx (neg (/ (sqrt (neg (/ c a))) b_2)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2)))))
#s(approx (/ (sqrt (neg (/ c a))) b_2) #s(hole binary64 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))))
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a)))
#s(approx (* (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) c) #s(hole binary64 (/ (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) a)))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (/ (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))) a)))
#s(approx (/ (neg b_2) (* c a)) #s(hole binary64 (* -1 (/ b_2 (* a c)))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (sqrt (* (/ 1 (* c a)) -1)) #s(hole binary64 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
#s(approx (* (/ 1 (* c a)) -1) #s(hole binary64 (/ -1 (* a c))))
#s(approx (/ 1 (* c a)) #s(hole binary64 (/ 1 (* a c))))
#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) (+ (* (/ 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 (+ (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 (* a (- (/ (pow b_2 2) a) c))))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) b_2) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) #s(hole binary64 (* -1 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (- (* -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 (+ (* -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) (+ (* (/ 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 (neg b_2) #s(hole binary64 (* -1 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 (+ (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 (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 (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) #s(hole binary64 (/ (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) 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)))) 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) (+ (* (/ 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 (+ (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 (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))))
#s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) #s(hole binary64 (/ -1 a)))
#s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) #s(hole binary64 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b_2))) (/ 1 (* a c))))))
#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 (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b_2)) (/ 1 (* a c)))))))
#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 c #s(hole binary64 c))
#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 (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (/ (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) 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) (+ (* (/ 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 (+ (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 (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* c (- (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (* (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) b_2) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))))
#s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b_2)) (/ 1 (* a c)))))))
#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) (+ (* (/ 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))))))))
#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))))))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* c (- (/ b_2 (* a c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (* (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) b_2) #s(hole binary64 (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))))
#s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) #s(hole binary64 (* -1 (* c (- (/ 1 (* a c)) (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b_2)))))))
Calls

9 calls:

TimeVariablePointExpression
11.0ms
c
@-inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (neg b_2) b_2 (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/ c (* b_2 b_2)) c (* b_2 b_2) -1/2 (/ 2 a) 2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (neg (/ c a))) (neg (/ c a)) (/ c 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)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (* (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) b_2) (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) (neg (/ (sqrt (neg (/ c a))) b_2)) (/ (sqrt (neg (/ c a))) b_2) (/ 1 a) 1 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (* (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) c) (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (/ (neg b_2) (* c a)) (* c a) (sqrt (* (/ 1 (* c a)) -1)) (* (/ 1 (* c a)) -1) (/ 1 (* c a)) -1)
10.0ms
b_2
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (neg b_2) b_2 (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/ c (* b_2 b_2)) c (* b_2 b_2) -1/2 (/ 2 a) 2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (neg (/ c a))) (neg (/ c a)) (/ c 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)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (* (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) b_2) (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) (neg (/ (sqrt (neg (/ c a))) b_2)) (/ (sqrt (neg (/ c a))) b_2) (/ 1 a) 1 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (* (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) c) (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (/ (neg b_2) (* c a)) (* c a) (sqrt (* (/ 1 (* c a)) -1)) (* (/ 1 (* c a)) -1) (/ 1 (* c a)) -1)
7.0ms
b_2
@0
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (neg b_2) b_2 (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/ c (* b_2 b_2)) c (* b_2 b_2) -1/2 (/ 2 a) 2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (neg (/ c a))) (neg (/ c a)) (/ c 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)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (* (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) b_2) (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) (neg (/ (sqrt (neg (/ c a))) b_2)) (/ (sqrt (neg (/ c a))) b_2) (/ 1 a) 1 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (* (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) c) (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (/ (neg b_2) (* c a)) (* c a) (sqrt (* (/ 1 (* c a)) -1)) (* (/ 1 (* c a)) -1) (/ 1 (* c a)) -1)
6.0ms
a
@0
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (neg b_2) b_2 (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/ c (* b_2 b_2)) c (* b_2 b_2) -1/2 (/ 2 a) 2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (neg (/ c a))) (neg (/ c a)) (/ c 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)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (* (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) b_2) (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) (neg (/ (sqrt (neg (/ c a))) b_2)) (/ (sqrt (neg (/ c a))) b_2) (/ 1 a) 1 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (* (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) c) (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (/ (neg b_2) (* c a)) (* c a) (sqrt (* (/ 1 (* c a)) -1)) (* (/ 1 (* c a)) -1) (/ 1 (* c a)) -1)
5.0ms
c
@0
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (neg b_2) b_2 (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/ c (* b_2 b_2)) c (* b_2 b_2) -1/2 (/ 2 a) 2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (neg (/ c a))) (neg (/ c a)) (/ c 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)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (* (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) b_2) (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) (neg (/ (sqrt (neg (/ c a))) b_2)) (/ (sqrt (neg (/ c a))) b_2) (/ 1 a) 1 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (* (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) c) (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (/ (neg b_2) (* c a)) (* c a) (sqrt (* (/ 1 (* c a)) -1)) (* (/ 1 (* c a)) -1) (/ 1 (* c a)) -1)

rewrite139.0ms (4.2%)

Memory
26.0MiB live, 164.5MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08045711
08505273
043325152
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
190 → 279
Calls
Call 1
Inputs
#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)))
(neg.f64 b_2)
b_2
(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))
c
(*.f64 b_2 b_2)
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
(sqrt.f64 (neg.f64 (/.f64 c a)))
(neg.f64 (/.f64 c a))
(/.f64 c a)
(/.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)
(neg.f64 a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) b_2)) (/.f64 #s(literal 1 binary64) a)) b_2)))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) b_2)) (/.f64 #s(literal 1 binary64) a)) b_2))
(*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) b_2)) (/.f64 #s(literal 1 binary64) a)) b_2)
(-.f64 (neg.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) b_2)) (/.f64 #s(literal 1 binary64) a))
(neg.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) b_2))
(/.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) b_2)
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (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 (sqrt (* (/ c a) -1))) (/ (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))
(*.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)
(-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))))
(/.f64 (neg.f64 b_2) (*.f64 c a))
(*.f64 c a)
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))
(/.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) #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) (+ (* (/ 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 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 (/ c a) #s(hole binary64 (/ c a)))
#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 (* (neg a) c) #s(hole binary64 (* -1 (* a c))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (/ (- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (* (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) b_2) #s(hole binary64 (* -1 (/ (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))) a))))
#s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) #s(hole binary64 (* -1 (/ (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) a))))
#s(approx (neg (/ (sqrt (neg (/ c a))) b_2)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2)))))
#s(approx (/ (sqrt (neg (/ c a))) b_2) #s(hole binary64 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))))
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a)))
#s(approx (* (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) c) #s(hole binary64 (/ (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) a)))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (/ (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))) a)))
#s(approx (/ (neg b_2) (* c a)) #s(hole binary64 (* -1 (/ b_2 (* a c)))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (sqrt (* (/ 1 (* c a)) -1)) #s(hole binary64 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
#s(approx (* (/ 1 (* c a)) -1) #s(hole binary64 (/ -1 (* a c))))
#s(approx (/ 1 (* c a)) #s(hole binary64 (/ 1 (* a c))))
#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) (+ (* (/ 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 (+ (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 (* a (- (/ (pow b_2 2) a) c))))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) b_2) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) #s(hole binary64 (* -1 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (- (* -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 (+ (* -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) (+ (* (/ 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 (neg b_2) #s(hole binary64 (* -1 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 (+ (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 (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 (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) #s(hole binary64 (/ (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) 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)))) 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) (+ (* (/ 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 (+ (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 (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))))
#s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) #s(hole binary64 (/ -1 a)))
#s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) #s(hole binary64 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b_2))) (/ 1 (* a c))))))
#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 (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b_2)) (/ 1 (* a c)))))))
#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 c #s(hole binary64 c))
#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 (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (/ (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) 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) (+ (* (/ 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 (+ (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 (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* c (- (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (* (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) b_2) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))))
#s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b_2)) (/ 1 (* a c)))))))
#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) (+ (* (/ 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))))))))
#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))))))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* c (- (/ b_2 (* a c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (* (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) b_2) #s(hole binary64 (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))))
#s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) #s(hole binary64 (* -1 (* c (- (/ 1 (* a c)) (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b_2)))))))
Outputs
#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)))
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 b_2 #s(literal -1 binary64))
(neg.f64 b_2)
b_2
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) a) (/.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) a)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) (/.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) a)))))
(fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(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 #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 #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 (neg.f64 c) (neg.f64 (*.f64 b_2 b_2)))
(/.f64 (/.f64 c b_2) b_2)
(/.f64 c (*.f64 b_2 b_2))
c
(*.f64 (pow.f64 b_2 #s(literal 1 binary64)) (pow.f64 b_2 #s(literal 1 binary64)))
(*.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 b_2 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 2 binary64)))
#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)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a))
#s(literal 2 binary64)
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 c (neg.f64 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 c (neg.f64 a)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 c (neg.f64 a)))
(*.f64 #s(literal -1 binary64) (/.f64 c a))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(/.f64 (neg.f64 c) a)
(/.f64 c (neg.f64 a))
(neg.f64 (/.f64 c a))
(/.f64 (neg.f64 c) (neg.f64 a))
(/.f64 c a)
(/.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) (neg.f64 b_2))) (neg.f64 a))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) (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 (neg.f64 a) c))) a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) a))
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) a))
(/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 (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))))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 b_2) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #s(literal 3 binary64))) (fma.f64 b_2 b_2 (-.f64 (*.f64 (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)))) (*.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))))
(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) (neg.f64 b_2))
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #s(literal 1/2 binary64))
(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 #s(literal -1 binary64) (*.f64 c a))
(*.f64 (neg.f64 a) c)
(*.f64 (*.f64 c a) #s(literal -1 binary64))
(*.f64 c (neg.f64 a))
(neg.f64 (*.f64 c a))
(*.f64 #s(literal -1 binary64) a)
(*.f64 a #s(literal -1 binary64))
(neg.f64 a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a)) b_2)))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a)) b_2))
(*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a)) b_2)
(*.f64 b_2 (-.f64 (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a)))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) (neg.f64 b_2)) (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) (neg.f64 b_2))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a))) (+.f64 (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a)))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) (neg.f64 b_2)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) (neg.f64 b_2)) (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) (neg.f64 b_2)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a)))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) b_2) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) b_2))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a)))) b_2)
(/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) (neg.f64 b_2))
(neg.f64 (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) b_2))
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (sqrt.f64 (/.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a)))) (neg.f64 b_2))
(/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) b_2)
(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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) c)))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) c))
(*.f64 (-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) c)
(*.f64 c (-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (/.f64 (neg.f64 b_2) (*.f64 c a))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (/.f64 (neg.f64 b_2) (*.f64 c a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (/.f64 (neg.f64 b_2) (*.f64 c a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (*.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))))))
(fma.f64 (/.f64 b_2 (*.f64 c a)) #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 (*.f64 c a)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))
(+.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (/.f64 b_2 (*.f64 c a)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b_2 (*.f64 c a)))
(/.f64 (neg.f64 (neg.f64 b_2)) (*.f64 (neg.f64 a) c))
(/.f64 (/.f64 (neg.f64 b_2) c) a)
(/.f64 (neg.f64 b_2) (*.f64 c a))
(neg.f64 (/.f64 b_2 (*.f64 c a)))
(*.f64 c a)
(*.f64 a c)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c a)))
(/.f64 (/.f64 #s(literal -1 binary64) a) c)
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) c))
(/.f64 #s(literal -1 binary64) (*.f64 c a))
(pow.f64 (*.f64 c a) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) c) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) c)
(/.f64 #s(literal 1 binary64) (*.f64 c a))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a) c))
#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 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 b_2) b_2))) #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) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal 1/2 binary64) (*.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 a a)
#s(approx (sqrt (neg (/ c a))) (sqrt.f64 (/.f64 c (neg.f64 a))))
#s(approx (neg (/ c a)) (/.f64 c (neg.f64 a)))
#s(approx (/ c a) (/.f64 c a))
#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 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 b_2) b_2))) #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 (* (neg a) c) (*.f64 (neg.f64 a) c))
#s(approx (neg a) (neg.f64 a))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (neg.f64 a) c))) a))
#s(approx (* (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) b_2) (neg.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) b_2) #s(literal 1 binary64)) b_2) a)))
#s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) (neg.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) b_2) #s(literal 1 binary64)) a)))
#s(approx (neg (/ (sqrt (neg (/ c a))) b_2)) (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) (neg.f64 b_2)))
#s(approx (/ (sqrt (neg (/ c a))) b_2) (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) b_2))
#s(approx (/ 1 a) (/.f64 #s(literal 1 binary64) a))
#s(approx (* (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) c) (/.f64 (*.f64 (-.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c) a))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (/.f64 (-.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) a))
#s(approx (/ (neg b_2) (* c a)) (/.f64 (neg.f64 b_2) (*.f64 c a)))
#s(approx (* c a) (*.f64 c a))
#s(approx (sqrt (* (/ 1 (* c a)) -1)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))
#s(approx (* (/ 1 (* c a)) -1) (/.f64 #s(literal -1 binary64) (*.f64 c a)))
#s(approx (/ 1 (* c a)) (/.f64 #s(literal 1 binary64) (*.f64 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 c (neg.f64 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 c (neg.f64 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 (*.f64 b_2 b_2) (*.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) (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 c (neg.f64 a))))) (/.f64 (neg.f64 b_2) 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 (/.f64 b_2 a) #s(literal -2 binary64))))
#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)))) (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 c (neg.f64 a)))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.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 c (neg.f64 a)))) (/.f64 b_2 a)) a))
#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 (*.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 (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 c (neg.f64 a)))) (/.f64 b_2 a))) a))
#s(approx (sqrt (- (* b_2 b_2) (* a 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 c (neg.f64 a)))) a))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.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) (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 c (neg.f64 a))))) a))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.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) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 b_2) b_2)) (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 c (neg.f64 a)))))) a))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) a) c) a))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a)))))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 c (neg.f64 a)))))
#s(approx (* (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) b_2) (+.f64 (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a)))) (/.f64 (neg.f64 b_2) a)))
#s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) (neg.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) b_2) (/.f64 #s(literal 1 binary64) a))))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.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) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) b_2) a)) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 a c))) #s(literal -1/2 binary64))) a)) b_2) a)) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 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 (sqrt.f64 (/.f64 c (neg.f64 a))) (/.f64 b_2 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) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) a)) (sqrt.f64 (/.f64 c (neg.f64 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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 a c))) #s(literal 1/2 binary64))) a)) b_2) a)) (sqrt.f64 (/.f64 c (neg.f64 a))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.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 c (neg.f64 a))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.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 #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 c (neg.f64 a)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.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 #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 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 b_2) b_2))) (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 (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 c (neg.f64 a))))))))
#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 c (neg.f64 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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) b_2) (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (/.f64 c (neg.f64 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))
#s(approx (neg b_2) (neg.f64 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)))) (+.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 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.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 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 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))) b_2) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -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 (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) (/.f64 (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 c (neg.f64 a)))) 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)) (*.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 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 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) (+ (* (/ 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)))) (/.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)) (*.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 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 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) (* 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)) (*.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) (* a c))) (*.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) b_2) (*.f64 (*.f64 b_2 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 (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a)) b_2))
#s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))
#s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) (-.f64 (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) a)))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) b_2)) (/.f64 #s(literal 1 binary64) (*.f64 c 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 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) b_2) (*.f64 (*.f64 b_2 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) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 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 2 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)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #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) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 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 (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (neg.f64 b_2) (+.f64 (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) b_2) (/.f64 #s(literal 1 binary64) a))))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (*.f64 (neg.f64 b_2) (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) b_2) (/.f64 #s(literal 1 binary64) (*.f64 c 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 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 b_2) b_2))) #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 c 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 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 b_2) b_2))) #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 (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (/.f64 (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 c (neg.f64 a)))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (/.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 #s(literal -1 binary64) (*.f64 c a)))) (/.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 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 b_2 b_2) (*.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)))) (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 #s(literal -1 binary64) (*.f64 c a))))) (/.f64 (neg.f64 b_2) (*.f64 c a))) 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)))) (*.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 (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)) (*.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 #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 (*.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)) (*.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 #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 (*.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)) (*.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 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 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 (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) c))
#s(approx (* (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) b_2) (*.f64 (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) (/.f64 (neg.f64 b_2) (*.f64 c a))) c))
#s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) (*.f64 (neg.f64 c) (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) b_2) (/.f64 #s(literal 1 binary64) (*.f64 c a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (/.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 #s(literal -1 binary64) (*.f64 c a))))))
#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 1/2 binary64) (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (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 #s(literal -1 binary64) (*.f64 c a))))))
#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)))))
#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) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.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 (*.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) (* 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 (*.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) (* 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 (*.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 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 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) (-.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) c)) (neg.f64 a))))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (neg.f64 c) (-.f64 (/.f64 b_2 (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))))
#s(approx (* (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) b_2) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) (/.f64 b_2 (*.f64 c a)))))
#s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) (*.f64 (neg.f64 c) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) b_2))))

eval36.0ms (1.1%)

Memory
-31.2MiB live, 64.5MiB allocated; 13ms collecting garbage
Compiler

Compiled 4 299 to 1 468 computations (65.9% saved)

prune13.0ms (0.4%)

Memory
31.2MiB live, 31.2MiB allocated; 0ms collecting garbage
Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New26012272
Fresh404
Picked325
Done044
Total26718285
Accuracy
99.3%
Counts
285 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.4%
(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b_2) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #s(literal 3 binary64))) (fma.f64 b_2 b_2 (-.f64 (*.f64 (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)))) (*.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))) a)
48.7%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
31.5%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
36.0%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
27.6%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
34.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
35.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
35.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
19.0%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
15.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
17.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 c (neg.f64 a))))))
30.7%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) c))) c)))
23.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (/.f64 (-.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) a)) c)))
26.8%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) c)))
15.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) (/.f64 (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 c (neg.f64 a)))) b_2)) b_2)))
15.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a))))))
36.1%
#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 (/.f64 b_2 a) #s(literal -2 binary64)))))
8.7%
#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 776 to 698 computations (10.1% saved)

series57.0ms (1.7%)

Memory
-31.7MiB live, 61.3MiB allocated; 6ms collecting garbage
Counts
37 → 72
Calls
Call 1
Inputs
#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 (/.f64 b_2 a) #s(literal -2 binary64)))))
#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 (/.f64 b_2 a) #s(literal -2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
#s(literal 1/2 binary64)
(/.f64 c b_2)
c
b_2
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 b_2 a)
a
#s(literal -2 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) 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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a))))))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a)))))
(neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a))))
(sqrt.f64 (/.f64 c (neg.f64 a)))
(/.f64 c (neg.f64 a))
(neg.f64 a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) c)))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) c))
(*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) c)
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
(neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))
(/.f64 #s(literal -1 binary64) (*.f64 c a))
#s(literal -1 binary64)
(*.f64 c a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 c b_2) b_2)
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
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) (+ (* (/ 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 (/ b_2 a) #s(hole binary64 (/ b_2 a)))
#s(approx a #s(hole binary64 a))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (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 (sqrt (/ c (neg a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (/ c (neg a))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ c (neg a)) #s(hole binary64 (* -1 (/ c a))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (* (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) c) #s(hole binary64 (/ (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) a)))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (/ (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))) a)))
#s(approx (neg (sqrt (/ -1 (* c a)))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
#s(approx (sqrt (/ -1 (* c a))) #s(hole binary64 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
#s(approx (/ -1 (* c a)) #s(hole binary64 (/ -1 (* a c))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#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 (/ (+ (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) (+ (* (/ 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 (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) c) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (- (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
#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 (/ (+ (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)))) 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) (+ (* (/ 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) #s(hole binary64 (/ c b_2)))
#s(approx b_2 #s(hole binary64 b_2))
#s(approx (neg b_2) #s(hole binary64 (* -1 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 (/ (+ (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) (+ (* (/ 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 (+ (neg (sqrt (* (/ c a) -1))) (/ (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 a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (* -1 (/ b_2 (* a c)))))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b_2))) (/ 1 (* a c))))))
#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 (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b_2)) (/ 1 (* a c)))))))
#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 c #s(hole binary64 c))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (/ (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) 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) (+ (* (/ 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 (+ (neg (sqrt (* (/ c a) -1))) (/ (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 a)) (sqrt (* (/ 1 (* c a)) -1))) c) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))))
#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 (/ (+ (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) (+ (* (/ 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 (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* c (- (/ b_2 (* a c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#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
24.0ms
c
@-inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* 1/2 (/ c b_2)) (* (/ b_2 a) -2)) 1/2 (/ c b_2) c b_2 (* (/ b_2 a) -2) (/ b_2 a) a -2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/ (neg b_2) a) (neg b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg (sqrt (/ c (neg a)))) (sqrt (/ c (neg a))) (/ c (neg a)) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (* (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) c) (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg (sqrt (/ -1 (* c a)))) (sqrt (/ -1 (* c a))) (/ -1 (* c a)) -1 (* c a) (/ (+ (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)
6.0ms
a
@0
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* 1/2 (/ c b_2)) (* (/ b_2 a) -2)) 1/2 (/ c b_2) c b_2 (* (/ b_2 a) -2) (/ b_2 a) a -2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/ (neg b_2) a) (neg b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg (sqrt (/ c (neg a)))) (sqrt (/ c (neg a))) (/ c (neg a)) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (* (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) c) (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg (sqrt (/ -1 (* c a)))) (sqrt (/ -1 (* c a))) (/ -1 (* c a)) -1 (* c a) (/ (+ (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)
4.0ms
c
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* 1/2 (/ c b_2)) (* (/ b_2 a) -2)) 1/2 (/ c b_2) c b_2 (* (/ b_2 a) -2) (/ b_2 a) a -2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/ (neg b_2) a) (neg b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg (sqrt (/ c (neg a)))) (sqrt (/ c (neg a))) (/ c (neg a)) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (* (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) c) (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg (sqrt (/ -1 (* c a)))) (sqrt (/ -1 (* c a))) (/ -1 (* c a)) -1 (* c a) (/ (+ (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)
4.0ms
a
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* 1/2 (/ c b_2)) (* (/ b_2 a) -2)) 1/2 (/ c b_2) c b_2 (* (/ b_2 a) -2) (/ b_2 a) a -2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/ (neg b_2) a) (neg b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg (sqrt (/ c (neg a)))) (sqrt (/ c (neg a))) (/ c (neg a)) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (* (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) c) (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg (sqrt (/ -1 (* c a)))) (sqrt (/ -1 (* c a))) (/ -1 (* c a)) -1 (* c a) (/ (+ (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)
4.0ms
c
@0
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (+ (* 1/2 (/ c b_2)) (* (/ b_2 a) -2)) 1/2 (/ c b_2) c b_2 (* (/ b_2 a) -2) (/ b_2 a) a -2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/ (neg b_2) a) (neg b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg (sqrt (/ c (neg a)))) (sqrt (/ c (neg a))) (/ c (neg a)) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (* (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) c) (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg (sqrt (/ -1 (* c a)))) (sqrt (/ -1 (* c a))) (/ -1 (* c a)) -1 (* c a) (/ (+ (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)

rewrite104.0ms (3.2%)

Memory
31.3MiB live, 81.4MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04622704
04952464
024652426
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
109 → 182
Calls
Call 1
Inputs
#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 (/.f64 b_2 a) #s(literal -2 binary64)))))
#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 (/.f64 b_2 a) #s(literal -2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
#s(literal 1/2 binary64)
(/.f64 c b_2)
c
b_2
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 b_2 a)
a
#s(literal -2 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) 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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a))))))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a)))))
(neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a))))
(sqrt.f64 (/.f64 c (neg.f64 a)))
(/.f64 c (neg.f64 a))
(neg.f64 a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) c)))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) c))
(*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) c)
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
(neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))
(/.f64 #s(literal -1 binary64) (*.f64 c a))
#s(literal -1 binary64)
(*.f64 c a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 c b_2) b_2)
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#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) (+ (* (/ 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 (/ b_2 a) #s(hole binary64 (/ b_2 a)))
#s(approx a #s(hole binary64 a))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (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 (sqrt (/ c (neg a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (/ c (neg a))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ c (neg a)) #s(hole binary64 (* -1 (/ c a))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (* (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) c) #s(hole binary64 (/ (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) a)))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (/ (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))) a)))
#s(approx (neg (sqrt (/ -1 (* c a)))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
#s(approx (sqrt (/ -1 (* c a))) #s(hole binary64 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
#s(approx (/ -1 (* c a)) #s(hole binary64 (/ -1 (* a c))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#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 (/ (+ (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) (+ (* (/ 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 (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) c) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (- (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
#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 (/ (+ (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)))) 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) (+ (* (/ 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) #s(hole binary64 (/ c b_2)))
#s(approx b_2 #s(hole binary64 b_2))
#s(approx (neg b_2) #s(hole binary64 (* -1 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 (/ (+ (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) (+ (* (/ 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 (+ (neg (sqrt (* (/ c a) -1))) (/ (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 a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (* -1 (/ b_2 (* a c)))))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b_2))) (/ 1 (* a c))))))
#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 (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b_2)) (/ 1 (* a c)))))))
#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 c #s(hole binary64 c))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) #s(hole binary64 (/ (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) 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) (+ (* (/ 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 (+ (neg (sqrt (* (/ c a) -1))) (/ (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 a)) (sqrt (* (/ 1 (* c a)) -1))) c) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))))
#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 (/ (+ (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) (+ (* (/ 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 (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* c (- (/ b_2 (* a c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#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
#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 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))) (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) (-.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))) (*.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 b_2 a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(-.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 (/.f64 (neg.f64 b_2) a) #s(literal -2 binary64)))
(-.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(+.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(/.f64 (neg.f64 c) (neg.f64 b_2))
(/.f64 c b_2)
c
b_2
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(/.f64 (neg.f64 b_2) (neg.f64 a))
(/.f64 b_2 a)
a
#s(literal -2 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) 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 (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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a))))))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a)))))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 c (neg.f64 a))))
(neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a))))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(pow.f64 (/.f64 c (neg.f64 a)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 c) (sqrt.f64 (neg.f64 a)))
(sqrt.f64 (/.f64 c (neg.f64 a)))
(*.f64 #s(literal -1 binary64) (/.f64 c a))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) c) a)
(/.f64 (*.f64 c #s(literal -1 binary64)) a)
(/.f64 (neg.f64 c) (neg.f64 (neg.f64 a)))
(/.f64 c (neg.f64 a))
(neg.f64 (/.f64 c a))
(*.f64 #s(literal -1 binary64) a)
(*.f64 a #s(literal -1 binary64))
(neg.f64 a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) c)))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) c))
(*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) c)
(*.f64 c #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))
(neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c a)))
(/.f64 (/.f64 #s(literal -1 binary64) a) c)
(/.f64 (/.f64 #s(literal -1 binary64) c) a)
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c a)))
(/.f64 #s(literal -1 binary64) (*.f64 c a))
#s(literal -1 binary64)
(*.f64 c a)
(*.f64 a c)
#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 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2)) (neg.f64 b_2) (*.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)))
(fma.f64 (neg.f64 b_2) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2)) (*.f64 (neg.f64 b_2) (/.f64 #s(literal 2 binary64) a)))
(+.f64 (*.f64 (neg.f64 b_2) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2))) (*.f64 (neg.f64 b_2) (/.f64 #s(literal 2 binary64) a)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2)) (neg.f64 b_2)) (*.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2))) (*.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 #s(literal 2 binary64) a))) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2)))
(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 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) a)))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))
(+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2)))
(/.f64 (neg.f64 (/.f64 c b_2)) (neg.f64 b_2))
(/.f64 (neg.f64 c) (neg.f64 (*.f64 b_2 b_2)))
(/.f64 (/.f64 c 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)
(+.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 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 b_2) b_2))) #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) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) a))
#s(approx (/ b_2 a) (/.f64 b_2 a))
#s(approx a a)
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64)))) a))
#s(approx (/ (neg b_2) a) (/.f64 (neg.f64 b_2) a))
#s(approx (neg (sqrt (/ c (neg a)))) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a)))))
#s(approx (sqrt (/ c (neg a))) (sqrt.f64 (/.f64 c (neg.f64 a))))
#s(approx (/ c (neg a)) (/.f64 c (neg.f64 a)))
#s(approx (neg a) (neg.f64 a))
#s(approx (* (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) c) (/.f64 (*.f64 (-.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c) a))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (/.f64 (-.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) a))
#s(approx (neg (sqrt (/ -1 (* c a)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
#s(approx (sqrt (/ -1 (* c a))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))
#s(approx (/ -1 (* c a)) (/.f64 #s(literal -1 binary64) (*.f64 c a)))
#s(approx (* c a) (*.f64 c 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 (*.f64 c a) (*.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 (sqrt.f64 (/.f64 c (neg.f64 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 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 c (neg.f64 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 (*.f64 b_2 b_2) (*.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) (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 c (neg.f64 a))))) (/.f64 (neg.f64 b_2) a)))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 c (neg.f64 a)))))
#s(approx (* (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) c) (+.f64 (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a)))) (/.f64 (neg.f64 b_2) a)))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
#s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2)))
#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 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) b_2) a)) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 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 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) #s(literal -1/2 binary64))) a)) b_2) a)) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a))))))
#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 c (neg.f64 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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) b_2) (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (/.f64 c (neg.f64 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))
#s(approx (/ c b_2) (/.f64 c b_2))
#s(approx b_2 b_2)
#s(approx (neg b_2) (neg.f64 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)) (*.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 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 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) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) b_2))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) b_2)) (/.f64 #s(literal 1 binary64) a)) b_2))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (/.f64 (neg.f64 b_2) (*.f64 c a)))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) b_2)) (/.f64 #s(literal 1 binary64) (*.f64 c 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 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) b_2) (*.f64 (*.f64 b_2 b_2) b_2))) #s(literal -1/16 binary64) (/.f64 #s(literal 2 binary64) a))))))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (neg.f64 b_2) (+.f64 (/.f64 (sqrt.f64 (/.f64 c (neg.f64 a))) b_2) (/.f64 #s(literal 1 binary64) a))))
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (*.f64 (neg.f64 b_2) (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) b_2) (/.f64 #s(literal 1 binary64) (*.f64 c 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 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 b_2 b_2) b_2) (*.f64 (*.f64 b_2 b_2) b_2))) #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 c c)
#s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (/.f64 (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 c (neg.f64 a)))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (+.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.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 #s(literal -1 binary64) (*.f64 c a)))) (/.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 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 b_2 b_2) (*.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)))) (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 #s(literal -1 binary64) (*.f64 c a))))) (/.f64 (neg.f64 b_2) (*.f64 c a))) 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 (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) c))
#s(approx (* (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) c) (*.f64 (+.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) 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) (neg.f64 (*.f64 (+.f64 (/.f64 b_2 (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (*.f64 (+.f64 (neg.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) (/.f64 (neg.f64 b_2) a)) c)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a)))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (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 #s(literal -1 binary64) (*.f64 c a)))) c)))
#s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a))) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) b_2)) c)))
#s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (*.f64 (-.f64 (/.f64 b_2 (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) c)))
#s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) (*.f64 c a))) c)))

eval26.0ms (0.8%)

Memory
-12.5MiB live, 31.6MiB allocated; 8ms collecting garbage
Compiler

Compiled 2 034 to 901 computations (55.7% saved)

prune33.0ms (1%)

Memory
-6.5MiB live, 37.9MiB allocated; 7ms collecting garbage
Pruning

19 alts after pruning (8 fresh and 11 done)

PrunedKeptTotal
New1554159
Fresh347
Picked055
Done066
Total15819177
Accuracy
99.3%
Counts
177 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.4%
(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b_2) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #s(literal 3 binary64))) (fma.f64 b_2 b_2 (-.f64 (*.f64 (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)))) (*.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))) a)
48.7%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
31.5%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
36.0%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
27.6%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
34.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
35.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
35.9%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
19.0%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
15.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
17.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 c (neg.f64 a))))))
23.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (/.f64 (-.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) a)) c)))
27.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) a)))) c)))
26.8%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) c)))
15.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) (/.f64 (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 c (neg.f64 a)))) b_2)) b_2)))
13.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (/.f64 (sqrt.f64 c) (sqrt.f64 (neg.f64 a))))))
15.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a))))))
36.1%
#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 (/.f64 b_2 a) #s(literal -2 binary64)))))
8.7%
#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 (/.f64 c b_2) #s(literal 1/2 binary64))))
Compiler

Compiled 905 to 630 computations (30.4% saved)

regimes62.0ms (1.9%)

Memory
14.2MiB live, 59.1MiB allocated; 6ms collecting garbage
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.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) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 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) (*.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 (+.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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) 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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (/.f64 (sqrt.f64 c) (sqrt.f64 (neg.f64 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)))))
(/.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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) a)))) c)))
(/.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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (neg.f64 (/.f64 c a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 c (neg.f64 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 (/.f64 b_2 a) #s(literal -2 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)))
(/.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) (*.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 (/.f64 c 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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (neg (/ (sqrt (neg (/ c a))) b_2)) (/ 1 a)) (/.f64 (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 c (neg.f64 a)))) b_2)) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) b_2)) (/.f64 #s(literal 1 binary64) a)) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (/.f64 (-.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) a)) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 (-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) c))) c)))
(/.f64 #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)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (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)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b_2) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #s(literal 3 binary64))) (fma.f64 b_2 b_2 (-.f64 (*.f64 (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)))) (*.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))) a)
(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b_2) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) #s(literal 3 binary64))) (fma.f64 b_2 b_2 (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) (*.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c 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 (/.f64 b_2 a) #s(literal -2 binary64)))))
(/.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) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

4 calls:

34.0ms
a
9.0ms
c
9.0ms
b_2
8.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
75.1%5(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
53.9%3a
85.7%3b_2
54.0%4c
Compiler

Compiled 13 to 19 computations (-46.2% saved)

regimes7.0ms (0.2%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.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) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 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) (*.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 (+.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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) 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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (/.f64 (sqrt.f64 c) (sqrt.f64 (neg.f64 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)))))
(/.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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) a)))) c)))
(/.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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (neg.f64 (/.f64 c a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 c (neg.f64 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 (/.f64 b_2 a) #s(literal -2 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)))
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 (/.f64 b_2 a) #s(literal -2 binary64)))))
(/.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 c b_2) #s(literal -1/2 binary64)))
Calls

1 calls:

6.0ms
b_2
Results
AccuracySegmentsBranch
82.4%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.2%)

Memory
10.4MiB live, 10.4MiB allocated; 0ms collecting garbage
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.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) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 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) (*.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 (+.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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) 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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (/.f64 (sqrt.f64 c) (sqrt.f64 (neg.f64 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)))))
(/.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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) a)))) c)))
(/.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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (neg.f64 (/.f64 c a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 c (neg.f64 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 (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 c b_2) #s(literal -1/2 binary64)))
Calls

1 calls:

5.0ms
b_2
Results
AccuracySegmentsBranch
82.0%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes62.0ms (1.9%)

Memory
-54.2MiB live, 7.6MiB allocated; 5ms collecting garbage
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.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) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 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) (*.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 (+.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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) 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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (/.f64 (sqrt.f64 c) (sqrt.f64 (neg.f64 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)))))
(/.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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) a)))) c)))
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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) 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)))
Calls

1 calls:

61.0ms
b_2
Results
AccuracySegmentsBranch
81.7%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.2%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.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) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 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) (*.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 (+.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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) 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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (/.f64 (sqrt.f64 c) (sqrt.f64 (neg.f64 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)))))
(/.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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (*.f64 #s(approx (- (/ (neg b_2) (* c a)) (sqrt (* (/ 1 (* c a)) -1))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))) c)))
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
81.5%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.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) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 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) (*.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 (+.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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) 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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (neg.f64 (/.f64 (sqrt.f64 c) (sqrt.f64 (neg.f64 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)))))
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 (neg.f64 (/.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:

4.0ms
b_2
Results
AccuracySegmentsBranch
74.9%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.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) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 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) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.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:

2.0ms
b_2
2.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
44.3%3(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
56.4%3b_2
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes8.0ms (0.2%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.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) #s(approx (* (neg b_2) (+ (* (/ c (* b_2 b_2)) -1/2) (/ 2 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) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.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))))
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
24.2%2(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
28.3%3c
26.3%2a
33.3%3b_2
Compiler

Compiled 13 to 19 computations (-46.2% saved)

regimes2.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (neg (sqrt (* (/ c a) -1))) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
Calls

1 calls:

1.0ms
b_2
Results
AccuracySegmentsBranch
29.6%2b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
c
1.0ms
b_2
1.0ms
a
1.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
15.2%1(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
15.2%1a
15.2%1c
15.2%1b_2
Compiler

Compiled 13 to 19 computations (-46.2% saved)

bsearch57.0ms (1.7%)

Memory
0.2MiB live, 47.5MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
9.70372133367071e-52
7.485087596307413e-46
32.0ms
-2.7118123974057634e+98
-2.6252061087317925e+97
Samples
9.0ms167×0valid
5.0ms46×1valid
4.0ms27×2valid
2.0ms34×0invalid
Compiler

Compiled 454 to 472 computations (-4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sqrt: 3.0ms (23.3% of total)
ival-mult!: 3.0ms (23.3% of total)
adjust: 2.0ms (15.5% of total)
ival-div!: 2.0ms (15.5% of total)
ival-sub!: 1.0ms (7.8% of total)
ival-add!: 1.0ms (7.8% of total)
ival-neg: 1.0ms (7.8% of total)

bsearch38.0ms (1.1%)

Memory
3.0MiB live, 48.4MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
9.70372133367071e-52
7.485087596307413e-46
18.0ms
-4.296603844598072e-6
-8.054393519095643e-7
Samples
10.0ms52×0invalid
9.0ms162×0valid
3.0ms20×2valid
3.0ms26×1valid
Compiler

Compiled 499 to 517 computations (-3.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult!: 10.0ms (55.7% of total)
ival-div!: 2.0ms (11.1% of total)
ival-sqrt: 2.0ms (11.1% of total)
adjust: 1.0ms (5.6% of total)
ival-sub!: 1.0ms (5.6% of total)
ival-add!: 1.0ms (5.6% of total)
ival-neg: 1.0ms (5.6% of total)

bsearch18.0ms (0.5%)

Memory
-44.0MiB live, 2.4MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.70372133367071e-52
7.485087596307413e-46
17.0ms
-4.296603844598072e-6
-8.054393519095643e-7
Compiler

Compiled 415 to 445 computations (-7.2% saved)

bsearch2.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.70372133367071e-52
7.485087596307413e-46
1.0ms
-4.296603844598072e-6
-8.054393519095643e-7
Compiler

Compiled 760 to 745 computations (2% saved)

bsearch2.0ms (0.1%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.70372133367071e-52
7.485087596307413e-46
1.0ms
-4.296603844598072e-6
-8.054393519095643e-7
Compiler

Compiled 430 to 460 computations (-7% saved)

bsearch73.0ms (2.2%)

Memory
-5.0MiB live, 45.7MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
4.499188494366016e-162
9.805142912215497e-150
19.0ms
-5.692578882043232e-145
-1.162932254374573e-151
Samples
15.0ms275×0valid
8.0ms134×0invalid
3.0ms26×1valid
0.0ms2valid
Compiler

Compiled 539 to 577 computations (-7.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult!: 5.0ms (33.4% of total)
ival-sqrt: 3.0ms (20% of total)
ival-div!: 2.0ms (13.3% of total)
ival-neg: 2.0ms (13.3% of total)
adjust: 1.0ms (6.7% of total)
ival-sub!: 1.0ms (6.7% of total)
ival-add!: 1.0ms (6.7% of total)

bsearch17.0ms (0.5%)

Memory
23.3MiB live, 23.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.499188494366016e-162
9.805142912215497e-150
14.0ms
-50457306137763.98
-2899151215.364223
Samples
7.0ms128×0valid
1.0ms24×0invalid
Compiler

Compiled 584 to 612 computations (-4.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult!: 2.0ms (41.3% of total)
ival-sqrt: 1.0ms (20.7% of total)
ival-neg: 1.0ms (20.7% of total)
ival-div!: 1.0ms (20.7% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch30.0ms (0.9%)

Memory
5.0MiB live, 49.2MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
3.470767164538109e+59
1.450950895267388e+62
1.0ms
-50457306137763.98
-2899151215.364223
Samples
9.0ms38×1valid
7.0ms47×2valid
2.0ms13×3valid
2.0ms30×0valid
1.0ms17×0invalid
Compiler

Compiled 608 to 616 computations (-1.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-add!: 5.0ms (30.7% of total)
adjust: 3.0ms (18.4% of total)
ival-sqrt: 3.0ms (18.4% of total)
ival-mult!: 2.0ms (12.3% of total)
ival-div!: 2.0ms (12.3% of total)
ival-sub!: 1.0ms (6.1% of total)
ival-neg: 1.0ms (6.1% of total)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-50457306137763.98
-2899151215.364223
Compiler

Compiled 304 to 312 computations (-2.6% saved)

derivations181.0ms (5.5%)

Memory
-14.1MiB live, 224.7MiB allocated; 21ms collecting garbage
Stop Event
fuel
Compiler

Compiled 192 to 111 computations (42.2% saved)

preprocess110.0ms (3.4%)

Memory
0.0MiB live, 181.9MiB allocated; 39ms collecting garbage
Compiler

Compiled 265 to 147 computations (44.5% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...