quad2p (problem 3.2.1, positive)

Time bar (total: 3.3s)

start0.0ms (0%)

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

analyze134.0ms (4%)

Memory
19.9MiB live, 162.9MiB allocated; 36ms 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)

sample1.8s (55%)

Memory
-189.3MiB live, 1 863.7MiB allocated; 1.2s collecting garbage
Samples
615.0ms1 360×1valid
429.0ms5 473×0valid
213.0ms1 226×2valid
81.0ms1 075×0invalid
45.0ms197×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-neg: 474.0ms (44.1% of total)
ival-sqrt: 165.0ms (15.4% of total)
ival-mult!: 146.0ms (13.6% of total)
adjust: 128.0ms (11.9% of total)
ival-div!: 75.0ms (7% of total)
ival-add!: 56.0ms (5.2% of total)
ival-sub!: 31.0ms (2.9% of total)
Bogosity

preprocess11.0ms (0.3%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048131
1127129
2247129
3400129
4521129
5574129
6590129
Stop Event
saturated
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.9%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 20 to 20 computations (0% saved)

series27.0ms (0.8%)

Memory
-22.7MiB live, 24.4MiB allocated; 9ms collecting garbage
Counts
10 → 106
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 (* (sqrt (* a c)) (sqrt -1))))
#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 (* (sqrt (* a c)) (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 b_2 #s(hole binary64 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 (* b_2 b_2) #s(hole binary64 (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) (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)))
#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
6.0ms
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
c
@-inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) b_2 (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* b_2 b_2) (* a c) a c)

rewrite122.0ms (3.7%)

Memory
12.6MiB live, 103.7MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06274205
06363945
035273829
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
116 → 147
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 (* (sqrt (* a c)) (sqrt -1))))
#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 (* (sqrt (* a c)) (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 b_2 #s(hole binary64 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 (* b_2 b_2) #s(hole binary64 (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) (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)))
#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 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 (*.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 (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)))))
(/.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)))))
(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))) (sqrt.f64 (*.f64 (neg.f64 a) 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 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))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#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 b_2 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 (* b_2 b_2) (*.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) (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))) (neg.f64 b_2))
#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 -1/8 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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) #s(literal 1/2 binary64))) c)) (/.f64 (neg.f64 b_2) a)) c)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 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))))

eval15.0ms (0.5%)

Memory
21.8MiB live, 21.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 719 to 829 computations (69.5% saved)

prune10.0ms (0.3%)

Memory
-40.6MiB live, 10.4MiB allocated; 7ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1349143
Fresh000
Picked101
Done000
Total1359144
Accuracy
99.8%
Counts
144 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.2%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
19.8%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c)) c)) a)
30.6%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
36.1%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
31.6%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
33.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
29.0%
#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)))))
18.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
18.6%
#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 282 to 280 computations (0.7% saved)

series38.0ms (1.2%)

Memory
43.3MiB live, 43.3MiB allocated; 0ms collecting garbage
Counts
30 → 100
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) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(/.f64 c a)
#s(literal -1 binary64)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) 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)))
(*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
(*.f64 a (/.f64 c b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c)) c)) a)
#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))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c)) c)
(+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c))
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))
(*.f64 (/.f64 a c) #s(literal -1 binary64))
(/.f64 a c)
(/.f64 (neg.f64 b_2) c)
(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 (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (* (/ c a) -1) #s(hole binary64 (* -1 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (* (* a (/ c b_2)) -1/2) #s(hole binary64 (* -1/2 (/ (* a c) b_2))))
#s(approx (* a (/ c b_2)) #s(hole binary64 (/ (* a c) b_2)))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (sqrt (* (/ a c) -1)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (* (/ a c) -1) #s(hole binary64 (* -1 (/ a c))))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (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 (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* a (+ (* -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)))))
#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 (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (sqrt (* (/ a c) -1)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (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) -1/2) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ c b_2) #s(hole binary64 (/ c b_2)))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (/ (neg b_2) c) #s(hole binary64 (* -1 (/ b_2 c))))
#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 (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* -1 b_2)))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* -1 (/ b_2 c))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* b_2 (- (* (sqrt (/ a c)) (/ (sqrt -1) b_2)) (/ 1 c)))))
#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 (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* -1 (* b_2 (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) b_2))) (/ 1 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 (+ (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 (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (/ (+ (* -1 b_2) (* (sqrt (* a c)) (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) (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 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))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))))))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
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) (neg (sqrt (* (/ c a) -1))) (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)))) (* (* a (/ c b_2)) -1/2) (* a (/ c b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c) (/ (neg b_2) c) (neg b_2))
5.0ms
a
@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) (neg (sqrt (* (/ c a) -1))) (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)))) (* (* a (/ c b_2)) -1/2) (* a (/ c b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c) (/ (neg b_2) c) (neg b_2))
4.0ms
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) (neg (sqrt (* (/ c a) -1))) (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)))) (* (* a (/ c b_2)) -1/2) (* a (/ c b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c) (/ (neg b_2) c) (neg b_2))
4.0ms
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) (neg (sqrt (* (/ c a) -1))) (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)))) (* (* a (/ c b_2)) -1/2) (* a (/ c b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c) (/ (neg b_2) c) (neg b_2))
4.0ms
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) (neg (sqrt (* (/ c a) -1))) (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)))) (* (* a (/ c b_2)) -1/2) (* a (/ c b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c) (/ (neg b_2) c) (neg b_2))

rewrite107.0ms (3.2%)

Memory
-5.5MiB live, 84.0MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05663614
05973309
030103242
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
130 → 183
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) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(/.f64 c a)
#s(literal -1 binary64)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) 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)))
(*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
(*.f64 a (/.f64 c b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c)) c)) a)
#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))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c)) c)
(+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c))
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))
(*.f64 (/.f64 a c) #s(literal -1 binary64))
(/.f64 a c)
(/.f64 (neg.f64 b_2) c)
(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 (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (* (/ c a) -1) #s(hole binary64 (* -1 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (* (* a (/ c b_2)) -1/2) #s(hole binary64 (* -1/2 (/ (* a c) b_2))))
#s(approx (* a (/ c b_2)) #s(hole binary64 (/ (* a c) b_2)))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (sqrt (* (/ a c) -1)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (* (/ a c) -1) #s(hole binary64 (* -1 (/ a c))))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (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 (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* a (+ (* -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)))))
#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 (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (sqrt (* (/ a c) -1)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (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) -1/2) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ c b_2) #s(hole binary64 (/ c b_2)))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (/ (neg b_2) c) #s(hole binary64 (* -1 (/ b_2 c))))
#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 (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* -1 b_2)))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* -1 (/ b_2 c))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* b_2 (- (* (sqrt (/ a c)) (/ (sqrt -1) b_2)) (/ 1 c)))))
#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 (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* -1 (* b_2 (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) b_2))) (/ 1 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 (+ (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 (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (/ (+ (* -1 b_2) (* (sqrt (* a c)) (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) (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 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))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))))))
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) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c 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 (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 c #s(literal -1 binary64)) a)
(/.f64 (*.f64 #s(literal -1 binary64) c) 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)))) (*.f64 (*.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64)))) (neg.f64 a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 c b_2) a))
(*.f64 a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2)
(*.f64 (/.f64 c b_2) a)
(*.f64 a (/.f64 c b_2))
(/.f64 (neg.f64 (*.f64 c a)) (neg.f64 b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) (/.f64 (neg.f64 b_2) c)) c))) (neg.f64 a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) (/.f64 (neg.f64 b_2) c)) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) (/.f64 (neg.f64 b_2) c)) c))
(*.f64 (+.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) (/.f64 (neg.f64 b_2) c)) c)
(*.f64 c (+.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) (/.f64 (neg.f64 b_2) c)))
(fma.f64 (/.f64 (neg.f64 b_2) c) c (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) c))
(fma.f64 c (/.f64 (neg.f64 b_2) c) (*.f64 c (sqrt.f64 (neg.f64 (/.f64 a c)))))
(+.f64 (*.f64 (/.f64 (neg.f64 b_2) c) c) (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) c))
(+.f64 (*.f64 c (/.f64 (neg.f64 b_2) c)) (*.f64 c (sqrt.f64 (neg.f64 (/.f64 a c)))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) (sqrt.f64 (neg.f64 (/.f64 a c)))) (*.f64 (/.f64 (neg.f64 b_2) c) (/.f64 (neg.f64 b_2) c))) (-.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) (/.f64 (neg.f64 b_2) c)))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b_2) c) (/.f64 (neg.f64 b_2) c)) (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) (sqrt.f64 (neg.f64 (/.f64 a c))))) (-.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (neg.f64 (/.f64 a c)))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 b_2) c) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) (sqrt.f64 (neg.f64 (/.f64 a c))) (-.f64 (*.f64 (/.f64 (neg.f64 b_2) c) (/.f64 (neg.f64 b_2) c)) (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) (/.f64 (neg.f64 b_2) c)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 b_2) c) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 b_2) c) (/.f64 (neg.f64 b_2) c) (-.f64 (*.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) (sqrt.f64 (neg.f64 (/.f64 a c)))) (*.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (neg.f64 (/.f64 a c)))))))
(fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) c))
(fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (neg.f64 (/.f64 a c))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 (neg.f64 b_2) c))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 c) (sqrt.f64 (neg.f64 (/.f64 a c))))
(-.f64 (/.f64 (neg.f64 b_2) c) (*.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) (/.f64 (neg.f64 b_2) c))
(+.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (neg.f64 (/.f64 a c))))
(*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))
(pow.f64 (neg.f64 (/.f64 a c)) #s(literal 1/2 binary64))
(sqrt.f64 (neg.f64 (/.f64 a c)))
(*.f64 (/.f64 a c) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(/.f64 (*.f64 a #s(literal -1 binary64)) c)
(/.f64 (*.f64 #s(literal -1 binary64) a) c)
(neg.f64 (/.f64 a c))
(/.f64 (neg.f64 a) (neg.f64 c))
(/.f64 a c)
(*.f64 (/.f64 b_2 c) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b_2 c))
(/.f64 (neg.f64 (neg.f64 b_2)) (neg.f64 c))
(/.f64 (neg.f64 b_2) c)
(neg.f64 (/.f64 b_2 c))
(*.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 (/.f64 c b_2) a) #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 (neg (sqrt (* (/ c a) -1))) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c 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 (* (* a (/ c b_2)) -1/2) (*.f64 (*.f64 (/.f64 c b_2) a) #s(literal -1/2 binary64)))
#s(approx (* a (/ c b_2)) (*.f64 (/.f64 c b_2) a))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (*.f64 (+.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) (/.f64 (neg.f64 b_2) c)) c))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (+.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) (/.f64 (neg.f64 b_2) c)))
#s(approx (sqrt (* (/ a c) -1)) (sqrt.f64 (neg.f64 (/.f64 a c))))
#s(approx (* (/ a c) -1) (neg.f64 (/.f64 a c)))
#s(approx (/ a c) (/.f64 a c))
#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 (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)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))))
#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 (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (*.f64 (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (neg.f64 (/.f64 c a)))) a))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (neg.f64 (/.f64 a c))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (*.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))) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (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 (*.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 (neg.f64 (/.f64 c a))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (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 (*.f64 (+.f64 (/.f64 b_2 a) (sqrt.f64 (neg.f64 (/.f64 c a)))) a)))
#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) a)) (sqrt.f64 (neg.f64 (/.f64 c a)))) a)))
#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 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)) (sqrt.f64 (neg.f64 (/.f64 c a)))) a)))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64)))))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (neg.f64 (*.f64 (+.f64 (/.f64 b_2 a) (sqrt.f64 (neg.f64 (/.f64 c a)))) a)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 a c)))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (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))) a)))
#s(approx (sqrt (* (/ a c) -1)) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 a c)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) a)) b_2 (sqrt.f64 (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 (*.f64 c a) #s(literal -1 binary64))) (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 (*.f64 c a) #s(literal -1 binary64)))))
#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 (*.f64 c a) #s(literal -1 binary64)))))
#s(approx (* -2 b_2) (*.f64 #s(literal -2 binary64) b_2))
#s(approx b_2 b_2)
#s(approx (* (/ c b_2) -1/2) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ c b_2) (/.f64 c b_2))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) (neg.f64 b_2)))
#s(approx (/ (neg b_2) c) (/.f64 (neg.f64 b_2) c))
#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 (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (neg.f64 b_2))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) b_2) #s(literal 1 binary64)) b_2))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (/.f64 (neg.f64 b_2) c))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (*.f64 (-.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) b_2) (/.f64 #s(literal 1 binary64) c)) 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 #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 (*.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 (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (*.f64 (neg.f64 b_2) (+.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) b_2)) #s(literal 1 binary64))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (*.f64 (neg.f64 b_2) (+.f64 (neg.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 a c))) b_2)) (/.f64 #s(literal 1 binary64) c))))
#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 (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) (neg.f64 b_2)) 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 (neg.f64 (/.f64 a c))) (/.f64 (neg.f64 b_2) c)) c))
#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 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 (/.f64 a c)))) (/.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) (-.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 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 (/.f64 a c)))) (/.f64 b_2 c))) 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 1/2 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 (/.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 (neg.f64 (/.f64 a c))) (/.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 (neg.f64 (/.f64 a c)))) 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 (neg.f64 (/.f64 a c)))) c)))
#s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (neg.f64 (/.f64 c a))))
#s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (neg.f64 (*.f64 (+.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 a c)))) (/.f64 b_2 c)) c)))

eval22.0ms (0.7%)

Memory
-26.8MiB live, 18.7MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 563 to 925 computations (63.9% saved)

prune7.0ms (0.2%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1695174
Fresh134
Picked415
Done000
Total1749183
Accuracy
99.8%
Counts
183 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.2%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
14.6%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (neg.f64 (/.f64 a c)))) c)) a)
36.1%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
31.6%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
13.9%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (neg.f64 b_2))) a)
33.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
29.0%
#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)))))
18.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
18.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
Compiler

Compiled 285 to 279 computations (2.1% saved)

series40.0ms (1.2%)

Memory
34.0MiB live, 34.0MiB allocated; 0ms collecting garbage
Counts
34 → 118
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
c
b_2
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (neg.f64 b_2))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (neg.f64 b_2)))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (neg.f64 b_2))
(neg.f64 b_2)
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
(neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))
(sqrt.f64 (neg.f64 (/.f64 c a)))
(neg.f64 (/.f64 c a))
(/.f64 c a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (neg.f64 (/.f64 a c)))) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (neg.f64 (/.f64 a c)))) c))
(*.f64 #s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (neg.f64 (/.f64 a c)))) c)
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (neg.f64 (/.f64 a c))))
(sqrt.f64 (neg.f64 (/.f64 a c)))
(neg.f64 (/.f64 a c))
(/.f64 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)))))
(*.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))))
(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)))
(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)
(*.f64 c a)
#s(literal -1 binary64)
(/.f64 b_2 (*.f64 c a))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(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 (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx a #s(hole binary64 a))
#s(approx (neg (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (neg (/ c a))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (neg (/ c a)) #s(hole binary64 (* -1 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (sqrt (neg (/ a c))) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (neg (/ a c)) #s(hole binary64 (* -1 (/ a c))))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (/ (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))) a))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (/ (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)) a)))
#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 (* c a) #s(hole binary64 (* a c)))
#s(approx (/ b_2 (* c a)) #s(hole binary64 (/ b_2 (* a c))))
#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 (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* a (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (+ (* (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 (* (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 (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (sqrt (neg (/ a c))) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (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 (/ (* -1/2 c) b_2) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx b_2 #s(hole binary64 b_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 (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#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 (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* -1 b_2)))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* -1 (/ b_2 c))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* b_2 (- (* (sqrt (/ a c)) (/ (sqrt -1) b_2)) (/ 1 c)))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (/ b_2 (* a c))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (* 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 (* -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 (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* -1 (* b_2 (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) b_2))) (/ 1 c))))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (* -1 (* 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 (* 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 (* -1/2 c) #s(hole binary64 (* -1/2 c)))
#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 (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (/ (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) c)))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (/ (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)) 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 c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* 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) (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 (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))))))
#s(approx (neg (sqrt (neg (/ c a)))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (sqrt (neg (/ c a))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
Calls

9 calls:

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

rewrite123.0ms (3.7%)

Memory
17.5MiB live, 143.0MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06204219
06513811
032423744
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
152 → 212
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
c
b_2
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (neg.f64 b_2))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (neg.f64 b_2)))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (neg.f64 b_2))
(neg.f64 b_2)
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
(neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))
(sqrt.f64 (neg.f64 (/.f64 c a)))
(neg.f64 (/.f64 c a))
(/.f64 c a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (neg.f64 (/.f64 a c)))) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (neg.f64 (/.f64 a c)))) c))
(*.f64 #s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (neg.f64 (/.f64 a c)))) c)
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (neg.f64 (/.f64 a c))))
(sqrt.f64 (neg.f64 (/.f64 a c)))
(neg.f64 (/.f64 a c))
(/.f64 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)))))
(*.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))))
(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)))
(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)
(*.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) #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 (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx a #s(hole binary64 a))
#s(approx (neg (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (neg (/ c a))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (neg (/ c a)) #s(hole binary64 (* -1 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (sqrt (neg (/ a c))) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (neg (/ a c)) #s(hole binary64 (* -1 (/ a c))))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (/ (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))) a))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (/ (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)) a)))
#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 (* c a) #s(hole binary64 (* a c)))
#s(approx (/ b_2 (* c a)) #s(hole binary64 (/ b_2 (* a c))))
#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 (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* a (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (+ (* (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 (* (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 (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (sqrt (neg (/ a c))) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (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 (/ (* -1/2 c) b_2) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx b_2 #s(hole binary64 b_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 (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#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 (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* -1 b_2)))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* -1 (/ b_2 c))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* b_2 (- (* (sqrt (/ a c)) (/ (sqrt -1) b_2)) (/ 1 c)))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (/ b_2 (* a c))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (* 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 (* -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 (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (* -1 (* b_2 (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) b_2))) (/ 1 c))))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (* -1 (* 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 (* 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 (* -1/2 c) #s(hole binary64 (* -1/2 c)))
#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 (* (/ a c) -1)) (/ (neg b_2) c)) #s(hole binary64 (/ (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) c)))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (/ (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)) 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 c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* 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) (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 (* (/ a c) -1)) (/ (neg b_2) c)) c) #s(hole binary64 (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))))))
#s(approx (neg (sqrt (neg (/ c a)))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (sqrt (neg (/ c a))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
Outputs
#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 (neg.f64 (*.f64 #s(literal -1/2 binary64) c)) (neg.f64 b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(*.f64 #s(literal -1/2 binary64) c)
(*.f64 c #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
c
b_2
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (neg.f64 b_2)))) (neg.f64 a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (neg.f64 b_2))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (neg.f64 b_2)))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (neg.f64 b_2))
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 b_2 #s(literal -1 binary64))
(neg.f64 b_2)
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(pow.f64 (/.f64 (neg.f64 c) a) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c a))
(/.f64 (neg.f64 c) a)
(/.f64 c (neg.f64 a))
(neg.f64 (/.f64 c a))
(/.f64 (neg.f64 c) (neg.f64 a))
(/.f64 c a)
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (/.f64 a (neg.f64 c)))) c))) (neg.f64 a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (/.f64 a (neg.f64 c)))) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (/.f64 a (neg.f64 c)))) c))
(*.f64 #s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (/.f64 a (neg.f64 c)))) c)
(*.f64 c #s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (/.f64 a (neg.f64 c)))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (/.f64 a (neg.f64 c))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))
(*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 (/.f64 a (neg.f64 c)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 a (neg.f64 c)))
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 (/.f64 a c) #s(literal -1 binary64))
(/.f64 (*.f64 a #s(literal -1 binary64)) c)
(/.f64 (*.f64 #s(literal -1 binary64) a) c)
(/.f64 (neg.f64 a) c)
(/.f64 a (neg.f64 c))
(neg.f64 (/.f64 a c))
(/.f64 (neg.f64 a) (neg.f64 c))
(/.f64 a c)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (+.f64 (/.f64 b_2 (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) (neg.f64 c)))
(*.f64 (*.f64 (+.f64 (/.f64 b_2 (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) c) #s(literal -1 binary64))
(*.f64 (+.f64 (/.f64 b_2 (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) (neg.f64 c))
(*.f64 (neg.f64 c) (+.f64 (/.f64 b_2 (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 b_2 (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) c))
(neg.f64 (*.f64 (+.f64 (/.f64 b_2 (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) c))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (neg.f64 c) (*.f64 (/.f64 b_2 (*.f64 c a)) (neg.f64 c)))
(fma.f64 (neg.f64 c) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (*.f64 (neg.f64 c) (/.f64 b_2 (*.f64 c a))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (neg.f64 c)) (*.f64 (/.f64 b_2 (*.f64 c a)) (neg.f64 c)))
(+.f64 (*.f64 (neg.f64 c) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) (*.f64 (neg.f64 c) (/.f64 b_2 (*.f64 c a))))
(*.f64 #s(literal -1 binary64) c)
(*.f64 c #s(literal -1 binary64))
(neg.f64 c)
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) (*.f64 (/.f64 b_2 (*.f64 c a)) (/.f64 b_2 (*.f64 c a)))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (/.f64 b_2 (*.f64 c a))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) #s(literal 3 binary64)) (pow.f64 (/.f64 b_2 (*.f64 c a)) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (-.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) (/.f64 b_2 (*.f64 c a))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (/.f64 b_2 (*.f64 c a))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 (*.f64 c a)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b_2 (*.f64 c a)))
(+.f64 (/.f64 b_2 (*.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 b_2 (*.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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) (neg.f64 (*.f64 c a)))
(/.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) (neg.f64 (*.f64 c a)))
#s(literal 1 binary64)
(*.f64 c a)
(*.f64 a c)
#s(literal -1 binary64)
(/.f64 (/.f64 b_2 a) c)
(/.f64 (/.f64 b_2 c) a)
(/.f64 (neg.f64 b_2) (neg.f64 (*.f64 c a)))
(/.f64 b_2 (*.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)))
#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 (* (/ a c) -1)) (/ (neg b_2) c)) c) (*.f64 (+.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) (/.f64 (neg.f64 b_2) c)) c))
#s(approx a a)
#s(approx (neg (sqrt (neg (/ c a)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (sqrt (neg (/ c a))) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (neg (/ c a)) (/.f64 (neg.f64 c) a))
#s(approx (/ c a) (/.f64 c a))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (+.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) (/.f64 (neg.f64 b_2) c)))
#s(approx (sqrt (neg (/ a c))) (sqrt.f64 (/.f64 a (neg.f64 c))))
#s(approx (neg (/ a c)) (/.f64 a (neg.f64 c)))
#s(approx (/ a c) (/.f64 a c))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (/.f64 (*.f64 (neg.f64 c) (+.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) (/.f64 b_2 c))) a))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 (+.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) (/.f64 b_2 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 (* c a) (*.f64 c a))
#s(approx (/ b_2 (* c a)) (/.f64 b_2 (*.f64 c a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (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 (neg.f64 c) a)))) (/.f64 (neg.f64 b_2) a)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))) a))
#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 (neg.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 (/.f64 (neg.f64 c) a))) (/.f64 b_2 a))) a))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (*.f64 (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))) a))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (/.f64 a (neg.f64 c))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (*.f64 (+.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) a))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (neg.f64 (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (+.f64 (/.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) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) b_2) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.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 (neg.f64 c) a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (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 (*.f64 (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 (neg.f64 c) a))) a)))
#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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) b_2) a)) (sqrt.f64 (/.f64 (neg.f64 c) a))) a)))
#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 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)) (sqrt.f64 (/.f64 (neg.f64 c) a))) a)))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64)))))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (neg.f64 (*.f64 (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 (neg.f64 c) a))) a)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (neg.f64 (sqrt.f64 (/.f64 a (neg.f64 c)))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (neg.f64 (*.f64 (+.f64 (/.f64 b_2 (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) a)))
#s(approx (sqrt (neg (/ a c))) (neg.f64 (sqrt.f64 (/.f64 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 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/8 binary64) (*.f64 (*.f64 #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 (neg.f64 c) a))))
#s(approx (/ (* -1/2 c) b_2) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx b_2 b_2)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) (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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) b_2 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64)))))
#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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (*.f64 c a) #s(literal -1 binary64)))))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) (neg.f64 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 (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (neg.f64 b_2))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) b_2) #s(literal 1 binary64)) b_2))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (/.f64 (neg.f64 b_2) c))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) b_2) (/.f64 #s(literal 1 binary64) c)) b_2))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (/.f64 (neg.f64 b_2) a))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b_2)) (/.f64 #s(literal 1 binary64) a)) b_2))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 b_2 (*.f64 c a)))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (*.f64 (+.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 #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 (*.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 (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (*.f64 (neg.f64 b_2) (+.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) b_2)) #s(literal 1 binary64))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (*.f64 (neg.f64 b_2) (+.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) b_2)) (/.f64 #s(literal 1 binary64) c))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (*.f64 (neg.f64 b_2) (+.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b_2) (/.f64 #s(literal 1 binary64) a))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (*.f64 (neg.f64 b_2) (-.f64 (neg.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 (* -1/2 c) (*.f64 #s(literal -1/2 binary64) 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 (* (/ a c) -1)) (/ (neg b_2) c)) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) (neg.f64 b_2)) c))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (neg.f64 (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (neg c) (neg.f64 c))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 (neg.f64 c) 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) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) (/.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 a (neg.f64 c))) (/.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 a (neg.f64 c))) (/.f64 b_2 c)))) c))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (*.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 b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (+.f64 (/.f64 b_2 (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) (neg.f64 c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.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))))))
#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 (*.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))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 c) (+.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) (/.f64 b_2 c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) b_2) c)) (sqrt.f64 (/.f64 a (neg.f64 c))))))
#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 (*.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 a (neg.f64 c))))))
#s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (sqrt.f64 (/.f64 a (neg.f64 c)))) (/.f64 b_2 c))))
#s(approx (neg (sqrt (neg (/ c a)))) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (sqrt (neg (/ c a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (*.f64 (+.f64 (/.f64 b_2 (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) (neg.f64 c)))

eval52.0ms (1.6%)

Memory
-20.7MiB live, 24.0MiB allocated; 7ms collecting garbage
Compiler

Compiled 2 883 to 1 007 computations (65.1% saved)

prune10.0ms (0.3%)

Memory
13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New1954199
Fresh123
Picked145
Done011
Total19711208
Accuracy
99.9%
Counts
208 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.2%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
14.6%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (neg.f64 (/.f64 a c)))) c)) a)
36.1%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
31.6%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
13.9%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (neg.f64 b_2))) a)
33.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
29.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (+.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) a) #s(literal -1 binary64))) (/.f64 b_2 (*.f64 c a)))))
19.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 (+.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) (/.f64 b_2 c)) a))))
26.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))))
18.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
18.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
Compiler

Compiled 324 to 316 computations (2.5% saved)

series65.0ms (2%)

Memory
-8.1MiB live, 61.7MiB allocated; 58ms collecting garbage
Counts
32 → 153
Calls
Call 1
Inputs
(/.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)
a
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (neg.f64 c) a)
(neg.f64 c)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))))
(*.f64 (neg.f64 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (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)
(/.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))))
(neg.f64 b_2)
b_2
(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))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 (+.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) (/.f64 b_2 c)) a))))
(*.f64 (neg.f64 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 (+.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) (/.f64 b_2 c)) a)))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 (+.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) (/.f64 b_2 c)) a))
(/.f64 (+.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) (/.f64 b_2 c)) a)
(+.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) (/.f64 b_2 c))
(sqrt.f64 (/.f64 a (neg.f64 c)))
(/.f64 a (neg.f64 c))
(/.f64 b_2 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 (* (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 a #s(hole binary64 a))
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (neg c) a) #s(hole binary64 (* -1 (/ c a))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (/ (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))) a))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (/ (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)) a)))
#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 (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 (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) #s(hole binary64 (/ (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)) a)))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) #s(hole binary64 (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
#s(approx (sqrt (/ a (neg c))) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (/ a (neg c)) #s(hole binary64 (* -1 (/ a c))))
#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 (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#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 (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) #s(hole binary64 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
#s(approx (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) #s(hole binary64 (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) #s(hole binary64 (* a (+ (* (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 (* (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 (* (neg a) c)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (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 (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) #s(hole binary64 (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
#s(approx (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (sqrt (/ a (neg c))) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (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 (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx b_2 #s(hole binary64 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 (/ b_2 c) #s(hole binary64 (/ b_2 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 (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (/ b_2 (* a c))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (* b_2 (+ (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b_2)) (/ 1 (* a c))))))
#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 (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) #s(hole binary64 (/ b_2 (* a c))))
#s(approx (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) #s(hole binary64 (* b_2 (+ (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b_2)) (/ 1 (* a c))))))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) #s(hole binary64 (/ b_2 c)))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) #s(hole binary64 (* b_2 (+ (* (sqrt (/ a c)) (/ (sqrt -1) b_2)) (/ 1 c)))))
#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 (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (* -1 (* b_2 (- (* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b_2))) (/ 1 (* a c)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 b_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))))))))
#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 (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) #s(hole binary64 (* -1 (* b_2 (- (* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b_2))) (/ 1 (* a c)))))))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) #s(hole binary64 (* -1 (* b_2 (- (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) b_2))) (/ 1 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 (+ (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 c) #s(hole binary64 (* -1 c)))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (/ (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)) c)))
#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 (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) #s(hole binary64 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) (* a c))))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) #s(hole binary64 (/ (+ b_2 (* (sqrt (* a c)) (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) (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 c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a 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 (/ (neg c) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#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
35.0ms
a
@-inf
((/ (+ (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) a c (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* 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) (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)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) (+ (sqrt (/ a (neg c))) (/ b_2 c)) (sqrt (/ a (neg c))) (/ a (neg c)) (/ b_2 c))
4.0ms
c
@0
((/ (+ (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) a c (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* 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) (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)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) (+ (sqrt (/ a (neg c))) (/ b_2 c)) (sqrt (/ a (neg c))) (/ a (neg c)) (/ b_2 c))
4.0ms
a
@0
((/ (+ (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) a c (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* 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) (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)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) (+ (sqrt (/ a (neg c))) (/ b_2 c)) (sqrt (/ a (neg c))) (/ a (neg c)) (/ b_2 c))
4.0ms
a
@inf
((/ (+ (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) a c (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* 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) (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)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) (+ (sqrt (/ a (neg c))) (/ b_2 c)) (sqrt (/ a (neg c))) (/ a (neg c)) (/ b_2 c))
4.0ms
c
@inf
((/ (+ (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) a c (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* 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) (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)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) (+ (sqrt (/ a (neg c))) (/ b_2 c)) (sqrt (/ a (neg c))) (/ a (neg c)) (/ b_2 c))

rewrite145.0ms (4.4%)

Memory
3.9MiB live, 139.4MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07565610
07875139
040305023
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
185 → 249
Calls
Call 1
Inputs
(/.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)
a
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (neg.f64 c) a)
(neg.f64 c)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))))
(*.f64 (neg.f64 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (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)
(/.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))))
(neg.f64 b_2)
b_2
(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))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 (+.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) (/.f64 b_2 c)) a))))
(*.f64 (neg.f64 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 (+.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) (/.f64 b_2 c)) a)))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 (+.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) (/.f64 b_2 c)) a))
(/.f64 (+.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) (/.f64 b_2 c)) a)
(+.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) (/.f64 b_2 c))
(sqrt.f64 (/.f64 a (neg.f64 c)))
(/.f64 a (neg.f64 c))
(/.f64 b_2 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 (* (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 a #s(hole binary64 a))
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (neg c) a) #s(hole binary64 (* -1 (/ c a))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (/ (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))) a))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (/ (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)) a)))
#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 (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 (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) #s(hole binary64 (/ (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)) a)))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) #s(hole binary64 (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
#s(approx (sqrt (/ a (neg c))) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (/ a (neg c)) #s(hole binary64 (* -1 (/ a c))))
#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 (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#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 (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) #s(hole binary64 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
#s(approx (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) #s(hole binary64 (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) #s(hole binary64 (* a (+ (* (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 (* (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 (* (neg a) c)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (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 (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) #s(hole binary64 (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
#s(approx (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (sqrt (/ a (neg c))) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (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 (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx b_2 #s(hole binary64 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 (/ b_2 c) #s(hole binary64 (/ b_2 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 (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (/ b_2 (* a c))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (* b_2 (+ (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b_2)) (/ 1 (* a c))))))
#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 (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) #s(hole binary64 (/ b_2 (* a c))))
#s(approx (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) #s(hole binary64 (* b_2 (+ (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b_2)) (/ 1 (* a c))))))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) #s(hole binary64 (/ b_2 c)))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) #s(hole binary64 (* b_2 (+ (* (sqrt (/ a c)) (/ (sqrt -1) b_2)) (/ 1 c)))))
#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 (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (* -1 (* b_2 (- (* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b_2))) (/ 1 (* a c)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 b_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))))))))
#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 (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) #s(hole binary64 (* -1 (* b_2 (- (* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b_2))) (/ 1 (* a c)))))))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) #s(hole binary64 (* -1 (* b_2 (- (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) b_2))) (/ 1 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 (+ (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 c) #s(hole binary64 (* -1 c)))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) #s(hole binary64 (/ (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)) c)))
#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 (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) #s(hole binary64 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) (* a c))))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) #s(hole binary64 (/ (+ b_2 (* (sqrt (* a c)) (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) (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 c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a 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 (/ (neg c) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#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 #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 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 (*.f64 (neg.f64 a) c) #s(literal 1/2 binary64))
(sqrt.f64 (*.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)
a
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(pow.f64 (/.f64 (neg.f64 c) a) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c a))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 a))
(/.f64 (neg.f64 c) a)
(neg.f64 (/.f64 c a))
(*.f64 #s(literal -1 binary64) c)
(*.f64 c #s(literal -1 binary64))
(neg.f64 c)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) (neg.f64 c)))
(*.f64 #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) (neg.f64 c))
(*.f64 (neg.f64 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
(neg.f64 (*.f64 c #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (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) 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)
(*.f64 c a)
(*.f64 a c)
(/.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))))
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 b_2 #s(literal -1 binary64))
(neg.f64 b_2)
b_2
(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))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 (+.f64 (/.f64 b_2 c) (sqrt.f64 (/.f64 (neg.f64 a) c))) a)) (neg.f64 c)))
(*.f64 #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 (+.f64 (/.f64 b_2 c) (sqrt.f64 (/.f64 (neg.f64 a) c))) a)) (neg.f64 c))
(*.f64 (neg.f64 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 (+.f64 (/.f64 b_2 c) (sqrt.f64 (/.f64 (neg.f64 a) c))) a)))
(neg.f64 (*.f64 c #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 (+.f64 (/.f64 b_2 c) (sqrt.f64 (/.f64 (neg.f64 a) c))) a))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 (+.f64 (/.f64 b_2 c) (sqrt.f64 (/.f64 (neg.f64 a) c))) a))
(/.f64 (neg.f64 (+.f64 (/.f64 b_2 c) (sqrt.f64 (/.f64 (neg.f64 a) c)))) (neg.f64 a))
(/.f64 (+.f64 (/.f64 b_2 c) (sqrt.f64 (/.f64 (neg.f64 a) c))) a)
(+.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) a) (/.f64 b_2 (*.f64 c a)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (sqrt.f64 (/.f64 (neg.f64 a) c))) (*.f64 (/.f64 b_2 c) (/.f64 b_2 c))) (-.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) #s(literal 3 binary64)) (pow.f64 (/.f64 b_2 c) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (sqrt.f64 (/.f64 (neg.f64 a) c)) (-.f64 (*.f64 (/.f64 b_2 c) (/.f64 b_2 c)) (*.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)))))
(fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 c))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c))
(+.f64 (/.f64 b_2 c) (sqrt.f64 (/.f64 (neg.f64 a) c)))
(+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c))
(*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))
(pow.f64 (/.f64 (neg.f64 a) c) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))
(sqrt.f64 (/.f64 (neg.f64 a) c))
(*.f64 (/.f64 a c) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(/.f64 (neg.f64 a) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 a) c)
(/.f64 a (neg.f64 c))
(neg.f64 (/.f64 a c))
(/.f64 (neg.f64 b_2) (neg.f64 c))
(/.f64 b_2 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 (* (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 a a)
#s(approx (sqrt (/ (neg c) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (neg c) a) (/.f64 (neg.f64 c) a))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (/.f64 (*.f64 (neg.f64 c) (+.f64 (/.f64 b_2 c) (sqrt.f64 (/.f64 (neg.f64 a) c)))) a))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 (+.f64 (/.f64 b_2 c) (sqrt.f64 (/.f64 (neg.f64 a) 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 (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 (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) (/.f64 (+.f64 (/.f64 b_2 c) (sqrt.f64 (/.f64 (neg.f64 a) c))) a))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) (+.f64 (/.f64 b_2 c) (sqrt.f64 (/.f64 (neg.f64 a) c))))
#s(approx (sqrt (/ a (neg c))) (sqrt.f64 (/.f64 (neg.f64 a) c)))
#s(approx (/ a (neg c)) (/.f64 (neg.f64 a) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (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 (neg.f64 c) a)))) (/.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 (neg.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 (/.f64 (neg.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 (/.f64 (neg.f64 c) a))) (/.f64 b_2 a))) a))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (neg.f64 (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (+.f64 (/.f64 b_2 (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (sqrt.f64 (*.f64 (neg.f64 a) c)))
#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 (neg.f64 c) 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 (neg.f64 c) 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 (neg.f64 c) a))))) 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 (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))
#s(approx (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) (+.f64 (/.f64 b_2 (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c)))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) (*.f64 (+.f64 (/.f64 b_2 (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.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 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.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 (neg.f64 c) a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 a) (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.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 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.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)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (sqrt (* (neg a) c)) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.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 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.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 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) a)) (neg.f64 c))))
#s(approx (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
#s(approx (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) (/.f64 b_2 (*.f64 c a))))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c))))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) (*.f64 (neg.f64 a) (+.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))))
#s(approx (sqrt (/ a (neg c))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) a)) b_2 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/8 binary64) (*.f64 (*.f64 #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 (neg.f64 c) a))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) (neg.f64 b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 (-.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 b_2 b_2)
#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 (/ b_2 c) (/.f64 b_2 c))
#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 c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (/.f64 (neg.f64 b_2) a))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b_2)) (/.f64 #s(literal 1 binary64) a)) b_2))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 b_2 (*.f64 c a)))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (*.f64 (+.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 (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 (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) (/.f64 b_2 (*.f64 c a)))
#s(approx (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) (*.f64 (+.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 (+ (sqrt (/ a (neg c))) (/ b_2 c)) (/.f64 b_2 c))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) 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 (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (*.f64 (neg.f64 b_2) (+.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b_2) (/.f64 #s(literal 1 binary64) a))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (*.f64 (neg.f64 b_2) (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) b_2)) (/.f64 #s(literal 1 binary64) (*.f64 c a)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 b_2))
#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 (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) (*.f64 (neg.f64 b_2) (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) b_2)) (/.f64 #s(literal 1 binary64) (*.f64 c a)))))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) (*.f64 (neg.f64 b_2) (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) b_2)) (/.f64 #s(literal 1 binary64) c))))
#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 c) (neg.f64 c))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (neg.f64 (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 (neg.f64 c) a))) 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 (/ (+ (sqrt (/ a (neg c))) (/ b_2 c)) a) (/.f64 (+.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) b_2) (*.f64 c a)))
#s(approx (+ (sqrt (/ a (neg c))) (/ b_2 c)) (/.f64 (+.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) b_2) 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) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (/.f64 (neg.f64 a) c))) c))
#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 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c))) (/.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) (-.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 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c))) (/.f64 b_2 c))) c))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (*.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 (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 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c))) 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 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c)))) 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 (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)))) #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 c c) c) a)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c))))) 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 (+.f64 (/.f64 b_2 (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) (neg.f64 c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.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))))))
#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 (*.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))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 c) (+.f64 (/.f64 b_2 c) (sqrt.f64 (/.f64 (neg.f64 a) 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 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) b_2) c)) (sqrt.f64 (/.f64 (neg.f64 a) c)))))
#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 (*.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 (neg.f64 a) c)))))
#s(approx (sqrt (/ (neg c) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (* (neg c) (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a)))) (*.f64 (+.f64 (/.f64 b_2 (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) (neg.f64 c)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 (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)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c)))))
#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 (*.f64 (*.f64 c c) 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))) (*.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 (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)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c)))))))
#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))))

eval27.0ms (0.8%)

Memory
-6.1MiB live, 47.3MiB allocated; 8ms collecting garbage
Compiler

Compiled 3 906 to 1 301 computations (66.7% saved)

prune16.0ms (0.5%)

Memory
-18.9MiB live, 27.5MiB allocated; 4ms collecting garbage
Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New2454249
Fresh101
Picked145
Done145
Total24812260
Accuracy
99.9%
Counts
260 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.2%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
19.0%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
36.1%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
31.6%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
13.9%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (neg.f64 b_2))) a)
33.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
16.7%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)))
18.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 (+.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c))) (/.f64 b_2 c)) a))))
26.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) a)))))
26.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))))))
18.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
18.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
Compiler

Compiled 455 to 351 computations (22.9% saved)

regimes30.0ms (0.9%)

Memory
6.6MiB live, 52.8MiB allocated; 5ms collecting garbage
Counts
23 → 3
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (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) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* 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 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) a)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (neg.f64 (/.f64 a c)))) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) 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 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 (+.f64 (sqrt.f64 (/.f64 a (neg.f64 c))) (/.f64 b_2 c)) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (/.f64 (+.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c))) (/.f64 b_2 c)) a))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c)) c)) a)
#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 (sqrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) a) #s(literal -1 binary64))) (/.f64 b_2 (*.f64 c 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 (-.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 #s(literal -1/2 binary64) c) b_2))
Calls

4 calls:

10.0ms
a
6.0ms
c
6.0ms
b_2
6.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
74.1%5(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
56.9%3a
84.7%3b_2
60.8%6c
Compiler

Compiled 13 to 19 computations (-46.2% saved)

regimes6.0ms (0.2%)

Memory
12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Counts
17 → 3
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (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) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* 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 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) a)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (neg.f64 (/.f64 a c)))) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) 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 #s(literal -1/2 binary64) c) b_2))
Calls

1 calls:

5.0ms
b_2
Results
AccuracySegmentsBranch
81.5%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.2%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Counts
16 → 3
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (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) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* 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 c) #s(approx (+ (sqrt (* (/ 1 (* c a)) -1)) (/ b_2 (* c a))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) a)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) (sqrt.f64 (neg.f64 (/.f64 a c)))) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a)
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
Calls

1 calls:

5.0ms
b_2
Results
AccuracySegmentsBranch
81.3%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.2%)

Memory
-37.5MiB live, 8.7MiB allocated; 4ms collecting garbage
Counts
10 → 3
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (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) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
Calls

1 calls:

7.0ms
b_2
Results
AccuracySegmentsBranch
75.6%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (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) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
Calls

1 calls:

3.0ms
b_2
Results
AccuracySegmentsBranch
74.4%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.3%)

Memory
25.8MiB live, 25.8MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (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) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (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 #s(literal -1/2 binary64) c) b_2))
Calls

4 calls:

2.0ms
b_2
2.0ms
c
2.0ms
a
2.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
36.8%2c
39.5%2a
41.7%3(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
53.8%3b_2
Compiler

Compiled 13 to 19 computations (-46.2% saved)

regimes8.0ms (0.3%)

Memory
-43.6MiB live, 7.2MiB allocated; 11ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (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) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (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

1 calls:

2.0ms
b_2
Results
AccuracySegmentsBranch
53.8%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.2%)

Memory
22.7MiB live, 22.7MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (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) (sqrt.f64 (/.f64 (neg.f64 c) a)))
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (+ (sqrt (* (/ a c) -1)) (/ (neg b_2) c)) c) (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

4 calls:

2.0ms
b_2
2.0ms
a
1.0ms
c
1.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
23.8%2c
25.9%2a
23.6%2(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
27.6%2b_2
Compiler

Compiled 13 to 19 computations (-46.2% saved)

regimes4.0ms (0.1%)

Memory
19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
b_2
1.0ms
a
1.0ms
c
1.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
13.9%1(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
13.9%1c
13.9%1a
13.9%1b_2
Compiler

Compiled 13 to 19 computations (-46.2% saved)

bsearch45.0ms (1.4%)

Memory
-0.8MiB live, 42.9MiB allocated; 16ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
22.0ms
5.708064472824894e-73
1.7996074756693501e-57
20.0ms
-8.627478175049847e+128
-9.508103106098142e+119
Samples
21.0ms175×0valid
5.0ms35×2valid
3.0ms30×1valid
2.0ms28×0invalid
Compiler

Compiled 371 to 401 computations (-8.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sqrt: 14.0ms (57.5% of total)
ival-mult!: 3.0ms (12.3% of total)
adjust: 2.0ms (8.2% of total)
ival-div!: 2.0ms (8.2% of total)
ival-sub!: 1.0ms (4.1% of total)
ival-add!: 1.0ms (4.1% of total)
ival-neg: 1.0ms (4.1% of total)

bsearch42.0ms (1.3%)

Memory
-0.3MiB live, 45.4MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
5.708064472824894e-73
1.7996074756693501e-57
26.0ms
-1.567650896063811e-85
-1.0932104061431602e-107
Samples
19.0ms224×0valid
4.0ms67×0invalid
2.0ms16×2valid
2.0ms16×1valid
Compiler

Compiled 572 to 614 computations (-7.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-neg: 8.0ms (43.4% of total)
ival-sqrt: 3.0ms (16.3% of total)
ival-mult!: 3.0ms (16.3% of total)
ival-div!: 2.0ms (10.9% of total)
adjust: 1.0ms (5.4% of total)
ival-sub!: 1.0ms (5.4% of total)
ival-add!: 1.0ms (5.4% of total)

bsearch2.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.708064472824894e-73
1.7996074756693501e-57
1.0ms
-1.567650896063811e-85
-1.0932104061431602e-107
Compiler

Compiled 593 to 635 computations (-7.1% saved)

bsearch47.0ms (1.4%)

Memory
7.5MiB live, 52.3MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
6.198428139418643e-116
2.6306437235347e-109
21.0ms
-1.0932104061431602e-107
-2.447252308110042e-110
Samples
12.0ms223×0valid
5.0ms85×0invalid
4.0ms35×1valid
2.0ms14×2valid
Compiler

Compiled 501 to 535 computations (-6.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult!: 4.0ms (29.5% of total)
ival-sqrt: 3.0ms (22.1% of total)
ival-neg: 2.0ms (14.8% of total)
ival-div!: 2.0ms (14.8% of total)
adjust: 1.0ms (7.4% of total)
ival-sub!: 1.0ms (7.4% of total)
ival-add!: 1.0ms (7.4% of total)

bsearch44.0ms (1.3%)

Memory
-23.3MiB live, 27.9MiB allocated; 43ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
6.198428139418643e-116
2.6306437235347e-109
35.0ms
-1.0932104061431602e-107
-2.447252308110042e-110
Samples
7.0ms131×0valid
2.0ms37×0invalid
1.0ms10×1valid
0.0ms2valid
Compiler

Compiled 484 to 518 computations (-7% saved)

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

bsearch14.0ms (0.4%)

Memory
19.5MiB live, 19.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.198428139418643e-116
2.6306437235347e-109
12.0ms
-1.1575582911374454e+73
-8.449933984811272e+68
Samples
7.0ms128×0valid
0.0ms0invalid
Compiler

Compiled 548 to 574 computations (-4.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sqrt: 1.0ms (24.5% of total)
ival-neg: 1.0ms (24.5% of total)
ival-mult!: 1.0ms (24.5% of total)
ival-div!: 1.0ms (24.5% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.198428139418643e-116
2.6306437235347e-109
1.0ms
-1.1575582911374454e+73
-8.449933984811272e+68
Compiler

Compiled 548 to 574 computations (-4.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1.1575582911374454e+73
-8.449933984811272e+68
Compiler

Compiled 296 to 304 computations (-2.7% saved)

derivations141.0ms (4.3%)

Memory
-3.8MiB live, 42.9MiB allocated; 9ms collecting garbage
Stop Event
fuel
Compiler

Compiled 140 to 88 computations (37.1% saved)

preprocess96.0ms (2.9%)

Memory
-25.1MiB live, 122.1MiB allocated; 41ms collecting garbage
Compiler

Compiled 213 to 124 computations (41.8% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...