The quadratic formula (r1)

Time bar (total: 5.0s)

start0.0ms (0%)

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

analyze583.0ms (11.6%)

Memory
-78.5MiB live, 233.1MiB allocated; 752ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
48.3%45.2%48.4%0.1%0%6.2%0%8
53%48.4%42.9%0.1%0%8.6%0%9
58.1%50.3%36.3%0.1%0%13.3%0%10
66.1%56.8%29.1%0.1%0%14%0%11
70.4%58.8%24.7%0.1%0%16.4%0%12
Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.8s (36%)

Memory
82.4MiB live, 2 074.0MiB allocated; 505ms collecting garbage
Samples
560.0ms5 584×0valid
333.0ms1 199×2valid
274.0ms1 306×1valid
118.0ms950×0invalid
47.0ms167×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult!: 285.0ms (28.3% of total)
ival-sqrt: 207.0ms (20.6% of total)
ival-neg: 148.0ms (14.7% of total)
adjust: 116.0ms (11.5% of total)
ival-add!: 116.0ms (11.5% of total)
ival-div!: 105.0ms (10.4% of total)
ival-sub!: 30.0ms (3% of total)
Bogosity

preprocess73.0ms (1.4%)

Memory
-29.5MiB live, 68.0MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058175
1211168
2702168
32723167
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 28 to 28 computations (0% saved)

series26.0ms (0.5%)

Memory
12.1MiB live, 56.6MiB allocated; 5ms collecting garbage
Counts
14 → 112
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (- (sqrt (pow b 2)) b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 (/ (* a c) (sqrt (pow b 2)))) (* 1/2 (- (sqrt (pow b 2)) b))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* -1 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* a (+ (* -2 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -1 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (sqrt (pow b 2)) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (sqrt (pow b 2))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (pow b 2)))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2))))
#s(approx (* (* 4 a) c) #s(hole binary64 (* 4 (* a c))))
#s(approx (* 4 a) #s(hole binary64 (* 4 a)))
#s(approx a #s(hole binary64 a))
#s(approx (* 2 a) #s(hole binary64 (* 2 a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (sqrt (* -4 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (sqrt (* -4 (/ c a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))) (/ b a)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -4 (* a c))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 4 c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1/2 (sqrt (* -4 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow b 2) (sqrt (* -4 (/ c a))))) (* 1/16 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3))))) a)) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (sqrt (* -4 (/ c a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) b) a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ c a)))))) a)) b) a)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (neg (* 4 (* a c))))))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (neg (* 4 (* a c)))) 3)))) (* 1/4 (/ 1 (* a (sqrt (neg (* 4 (* a c))))))))) (* 1/2 (/ 1 a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (sqrt (neg (* 4 (* a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* -1 b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* b (- (* 1/2 (/ b (sqrt (neg (* 4 (* a c)))))) 1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 4 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 4 (* a c)))))))) 1)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx b #s(hole binary64 b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* 1/2 (/ (pow b 2) (sqrt (neg (* 4 (* a c)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 4 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 4 (* a c)))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (neg (* 4 (* a c)))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 4 (* a c)))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 4 (* a c)))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (- (pow b 2) (* 4 (* a c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c (sqrt (pow b 2)))) (* 1/2 (/ (- (sqrt (pow b 2)) b) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -1 (/ a (pow (sqrt (pow b 2)) 3))))) (/ 1 (sqrt (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (* c (sqrt (* -4 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3))))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (sqrt (* -4 (/ a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))) (/ b c)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 4 a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1/2 (/ (* c (sqrt (* -4 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (/ (pow b 2) (* a (* c (sqrt (* -4 (/ a c)))))))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3))))) (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ a c))))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (sqrt (* -4 (/ a c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -4 (/ a c)))))) b) c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ a c)))))) c)) b) c)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
c
@inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* b b) (* (* 4 a) c) (* 4 a) 4 a c (* 2 a) 2)
3.0ms
a
@inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* b b) (* (* 4 a) c) (* 4 a) 4 a c (* 2 a) 2)
3.0ms
b
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* b b) (* (* 4 a) c) (* 4 a) 4 a c (* 2 a) 2)
2.0ms
a
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* b b) (* (* 4 a) c) (* 4 a) 4 a c (* 2 a) 2)
2.0ms
b
@inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* b b) (* (* 4 a) c) (* 4 a) 4 a c (* 2 a) 2)

rewrite183.0ms (3.7%)

Memory
3.0MiB live, 237.1MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06084587
06224358
134384234
085633914
Stop Event
iter-limit
node-limit
iter-limit
Counts
126 → 242
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (- (sqrt (pow b 2)) b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 (/ (* a c) (sqrt (pow b 2)))) (* 1/2 (- (sqrt (pow b 2)) b))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* -1 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* a (+ (* -2 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -1 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (sqrt (pow b 2)) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (sqrt (pow b 2))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (pow b 2)))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2))))
#s(approx (* (* 4 a) c) #s(hole binary64 (* 4 (* a c))))
#s(approx (* 4 a) #s(hole binary64 (* 4 a)))
#s(approx a #s(hole binary64 a))
#s(approx (* 2 a) #s(hole binary64 (* 2 a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (sqrt (* -4 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (sqrt (* -4 (/ c a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))) (/ b a)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -4 (* a c))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 4 c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1/2 (sqrt (* -4 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow b 2) (sqrt (* -4 (/ c a))))) (* 1/16 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3))))) a)) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (sqrt (* -4 (/ c a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) b) a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ c a)))))) a)) b) a)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (neg (* 4 (* a c))))))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (neg (* 4 (* a c)))) 3)))) (* 1/4 (/ 1 (* a (sqrt (neg (* 4 (* a c))))))))) (* 1/2 (/ 1 a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (sqrt (neg (* 4 (* a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* -1 b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* b (- (* 1/2 (/ b (sqrt (neg (* 4 (* a c)))))) 1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 4 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 4 (* a c)))))))) 1)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx b #s(hole binary64 b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* 1/2 (/ (pow b 2) (sqrt (neg (* 4 (* a c)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 4 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 4 (* a c)))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (neg (* 4 (* a c)))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 4 (* a c)))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 4 (* a c)))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (- (pow b 2) (* 4 (* a c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c (sqrt (pow b 2)))) (* 1/2 (/ (- (sqrt (pow b 2)) b) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -1 (/ a (pow (sqrt (pow b 2)) 3))))) (/ 1 (sqrt (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (* c (sqrt (* -4 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3))))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (sqrt (* -4 (/ a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))) (/ b c)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 4 a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1/2 (/ (* c (sqrt (* -4 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (/ (pow b 2) (* a (* c (sqrt (* -4 (/ a c)))))))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3))))) (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ a c))))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (sqrt (* -4 (/ a c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -4 (/ a c)))))) b) c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ a c)))))) c)) b) c)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))))
Outputs
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)))) (neg.f64 (neg.f64 (+.f64 a a))))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)) a)
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
(+.f64 (/.f64 (neg.f64 b) (+.f64 a a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (+.f64 a a)))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (neg.f64 (fma.f64 b b (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))))))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))
(/.f64 (fma.f64 (*.f64 b b) (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (fma.f64 b b (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
b
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b b)))) (sqrt.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal 4 binary64)) c))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 #s(literal -4 binary64) (*.f64 c a)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (sqrt.f64 (fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 4 binary64)) c))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal -1/2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (neg.f64 (neg.f64 b)))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (exp.f64 (log.f64 b)))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (neg.f64 (fabs.f64 b)))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (fabs.f64 b))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (neg.f64 b))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b)
(hypot.f64 (neg.f64 (neg.f64 b)) (fabs.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(hypot.f64 (neg.f64 (neg.f64 b)) (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(hypot.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(hypot.f64 (exp.f64 (log.f64 b)) (fabs.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(hypot.f64 (exp.f64 (log.f64 b)) (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(hypot.f64 (exp.f64 (log.f64 b)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (neg.f64 (neg.f64 b)))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (exp.f64 (log.f64 b)))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (neg.f64 (fabs.f64 b)))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (fabs.f64 b))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (neg.f64 b))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b)
(hypot.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(hypot.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(hypot.f64 (neg.f64 (fabs.f64 b)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (neg.f64 (neg.f64 b)))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (exp.f64 (log.f64 b)))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (neg.f64 (fabs.f64 b)))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (fabs.f64 b))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (neg.f64 b))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)
(hypot.f64 (fabs.f64 b) (fabs.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(hypot.f64 (fabs.f64 b) (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(hypot.f64 (fabs.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(hypot.f64 (neg.f64 b) (fabs.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(hypot.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(hypot.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(hypot.f64 b (fabs.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(hypot.f64 b (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(hypot.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))
(pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b b)))) (neg.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (neg.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal 4 binary64)) c))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 #s(literal -4 binary64) (*.f64 c a)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 4 binary64)) c))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (fma.f64 b b (*.f64 (*.f64 a #s(literal 4 binary64)) c)))
(/.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 #s(literal -4 binary64) (*.f64 c a)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 4 binary64)) c)))))
(fma.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (fabs.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 b b))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 b b))
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c))
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 b b))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 c a)) (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(fma.f64 b b (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c))
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 4 binary64)) c))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (*.f64 b b) (*.f64 b b)))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
(*.f64 (*.f64 c a) #s(literal 4 binary64))
(*.f64 (*.f64 a #s(literal 4 binary64)) c)
(*.f64 c (*.f64 a #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 c a))
(*.f64 a #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(+.f64 a a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64) (neg.f64 (*.f64 a (/.f64 c (fabs.f64 b))))) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b)))) (/.f64 (neg.f64 c) (fabs.f64 b))) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 (fabs.f64 b) #s(literal 5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))))) a (/.f64 (neg.f64 c) (fabs.f64 b))) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c (fabs.f64 b)) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))))) a (fabs.f64 b)) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fma.f64 a (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 (fabs.f64 b) #s(literal 5 binary64))) (*.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64))) a (*.f64 #s(literal -2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b)) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fabs.f64 b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c (fabs.f64 b)) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))))) a (fabs.f64 b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 a (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 (fabs.f64 b) #s(literal 5 binary64))) (*.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64))) a (*.f64 #s(literal -2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
#s(approx (- (* b b) (* (* 4 a) c)) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
#s(approx (* (* 4 a) c) (*.f64 (*.f64 a #s(literal 4 binary64)) c))
#s(approx (* 4 a) (*.f64 a #s(literal 4 binary64)))
#s(approx a a)
#s(approx (* 2 a) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (/.f64 b a)) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (/.f64 b a)) a))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) (fma.f64 (/.f64 (exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 6 binary64)) (*.f64 (log.f64 a) #s(literal 6 binary64)))) (pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal 4 binary64))) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) #s(literal -1/4 binary64))) a))) a))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) #s(literal 1/2 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) (fma.f64 (/.f64 (exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 6 binary64)) (*.f64 (log.f64 a) #s(literal 6 binary64)))) (pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)))
#s(approx (- (* b b) (* (* 4 a) c)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) a)) (*.f64 #s(literal -4 binary64) c)) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a) #s(literal 1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 #s(literal -4 binary64) (*.f64 c a))) a)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a) #s(literal 1/2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (neg.f64 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.f64 (*.f64 (/.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (neg b) (neg.f64 b))
#s(approx b b)
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (- (* b b) (* (* 4 a) c)) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -2 binary64) (neg.f64 c)) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -2 binary64) (neg.f64 c)) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) a)) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))))) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64)) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 1 binary64)) b))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (+.f64 (+.f64 (neg.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -2 binary64) (+.f64 (+.f64 (neg.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 2 binary64))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 1 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (*.f64 (fabs.f64 b) (*.f64 b b))))) c) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a (fabs.f64 b)) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))))) c (fabs.f64 b)) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -2 binary64))) (fabs.f64 b)) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a (fabs.f64 b)) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))))) c (fabs.f64 b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -2 binary64))) (fabs.f64 b)))
#s(approx c c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 6 binary64)) (*.f64 (log.f64 c) #s(literal 6 binary64)))) (pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal 4 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 b (*.f64 c a)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 c a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) #s(literal -1/4 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/16 binary64))) c))) c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (+.f64 (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c c) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/8 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 c) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 c) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 6 binary64)) (*.f64 (log.f64 c) #s(literal 6 binary64)))) (pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (neg.f64 c) (-.f64 (neg.f64 (/.f64 (*.f64 b b) c)) (*.f64 #s(literal -4 binary64) a))))

eval29.0ms (0.6%)

Memory
12.2MiB live, 66.5MiB allocated; 6ms collecting garbage
Compiler

Compiled 3 702 to 1 164 computations (68.6% saved)

prune17.0ms (0.3%)

Memory
-2.8MiB live, 44.0MiB allocated; 2ms collecting garbage
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New21418232
Fresh000
Picked101
Done000
Total21518233
Accuracy
100.0%
Counts
233 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.4%
(/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
46.6%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
45.9%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal -1/2 binary64)))) (*.f64 #s(literal 2 binary64) a))
28.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
42.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 2 binary64) a))
14.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
12.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
27.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
70.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b))))
49.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b)))) (/.f64 (neg.f64 c) (fabs.f64 b))) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) a))
33.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b))
39.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
32.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
14.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal 1/2 binary64)))
15.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
31.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
18.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))))
16.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
Compiler

Compiled 730 to 716 computations (1.9% saved)

series70.0ms (1.4%)

Memory
-14.0MiB live, 134.7MiB allocated; 23ms collecting garbage
Counts
35 → 99
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b))))
(fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b)))
(/.f64 (-.f64 (fabs.f64 b) b) a)
(-.f64 (fabs.f64 b) b)
(fabs.f64 b)
b
a
#s(literal 1/2 binary64)
(/.f64 (neg.f64 c) (fabs.f64 b))
(neg.f64 c)
c
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))
(*.f64 (/.f64 c a) #s(literal -4 binary64))
(/.f64 c a)
#s(literal -4 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal 1/2 binary64))
(*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a))
(/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))
(*.f64 (/.f64 a c) #s(literal -4 binary64))
(/.f64 a c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b))
(/.f64 (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b)
(+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))
(*.f64 (*.f64 c c) a)
(*.f64 c c)
(*.f64 b b)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (- (sqrt (pow b 2)) b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 (/ (* a c) (sqrt (pow b 2)))) (* 1/2 (- (sqrt (pow b 2)) b))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* -1 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* a (+ (* -2 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -1 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a)))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* 1/2 (/ (- (fabs b) b) a))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (/ (+ (* -1 (/ (* a c) (fabs b))) (* 1/2 (- (fabs b) b))) a)))
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (/ (- (fabs b) b) a)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (neg b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) #s(hole binary64 (* 1/2 (/ (sqrt (* -4 (* a c))) a))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (/ (sqrt (* -4 (* a c))) a)))
#s(approx (* (/ c a) -4) #s(hole binary64 (* -4 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (* (* c (/ (sqrt (* (/ a c) -4)) a)) 1/2) #s(hole binary64 (* 1/2 (/ (* c (sqrt (* -4 (/ a c)))) a))))
#s(approx (* c (/ (sqrt (* (/ a c) -4)) a)) #s(hole binary64 (/ (* c (sqrt (* -4 (/ a c)))) a)))
#s(approx (/ (sqrt (* (/ a c) -4)) a) #s(hole binary64 (/ (sqrt (* -4 (/ a c))) a)))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (sqrt (* -4 (/ a c)))))
#s(approx (* (/ a c) -4) #s(hole binary64 (* -4 (/ a c))))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (* -1 c)))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)))
#s(approx (neg (/ (* (* c c) a) (* b b))) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (/ (* (* c c) a) (* b b)) #s(hole binary64 (/ (* a (pow c 2)) (pow b 2))))
#s(approx (* (* c c) a) #s(hole binary64 (* a (pow c 2))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (sqrt (* -4 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a)))))))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* -1 (/ c (fabs b)))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (+ (* -1 (/ c (fabs b))) (* 1/2 (/ (- (fabs b) b) a)))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (sqrt (* -4 (/ c a)))))
#s(approx (* (* c (/ (sqrt (* (/ a c) -4)) a)) 1/2) #s(hole binary64 (* 1/2 (* c (sqrt (/ -4 (* a c)))))))
#s(approx (* c (/ (sqrt (* (/ a c) -4)) a)) #s(hole binary64 (* c (sqrt (/ -4 (* a c))))))
#s(approx (/ (sqrt (* (/ a c) -4)) a) #s(hole binary64 (sqrt (/ -4 (* a c)))))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* a (sqrt (/ -4 (* a c))))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1/2 (sqrt (* -4 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow b 2) (sqrt (* -4 (/ c a))))) (* 1/16 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3))))) a)) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (* (* c (/ (sqrt (* (/ a c) -4)) a)) 1/2) #s(hole binary64 (* -1/2 (* c (sqrt (/ -4 (* a c)))))))
#s(approx (* c (/ (sqrt (* (/ a c) -4)) a)) #s(hole binary64 (* -1 (* c (sqrt (/ -4 (* a c)))))))
#s(approx (/ (sqrt (* (/ a c) -4)) a) #s(hole binary64 (* -1 (sqrt (/ -4 (* a c))))))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* -1 (* a (sqrt (/ -4 (* a c)))))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (neg (* 4 (* a c))))))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (neg (* 4 (* a c)))) 3)))) (* 1/4 (/ 1 (* a (sqrt (neg (* 4 (* a c))))))))) (* 1/2 (/ 1 a)))))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (+ (* -1 (/ c (fabs b))) (* 1/2 (/ (fabs b) a)))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (+ (* -1 (/ c (fabs b))) (+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs b) a))))))
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (/ (fabs b) a)))
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (+ (* -1 (/ b a)) (/ (fabs b) a))))
#s(approx (- (fabs b) b) #s(hole binary64 (fabs b)))
#s(approx (- (fabs b) b) #s(hole binary64 (+ (fabs b) (* -1 b))))
#s(approx b #s(hole binary64 b))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* -1/2 (/ b a))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* b (- (+ (* -1 (/ c (* b (fabs b)))) (* 1/2 (/ (fabs b) (* a b)))) (* 1/2 (/ 1 a))))))
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* b (- (/ (fabs b) (* a b)) (/ 1 a)))))
#s(approx (- (fabs b) b) #s(hole binary64 (* b (- (/ (fabs b) b) 1))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ c (fabs b))) (* 1/2 (/ (fabs b) a))) b)) (* 1/2 (/ 1 a)))))))
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (fabs b) (* a b))) (/ 1 a))))))
#s(approx (- (fabs b) b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (fabs b) b)))))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c (sqrt (pow b 2)))) (* 1/2 (/ (- (sqrt (pow b 2)) b) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -1 (/ a (pow (sqrt (pow b 2)) 3))))) (/ 1 (sqrt (pow b 2))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (sqrt (* (/ a c) -4)) a) #s(hole binary64 (/ (sqrt (* -4 (* a c))) (* a c))))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (/ (sqrt (* -4 (* a c))) c)))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 2))) 1))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3))))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* c (- (* 1/2 (/ (- (fabs b) b) (* a c))) (/ 1 (fabs b))))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1/2 (/ (* c (sqrt (* -4 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (/ (pow b 2) (* a (* c (sqrt (* -4 (/ a c)))))))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3))))) (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ a c))))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* -1 (* c (+ (* -1/2 (/ (- (fabs b) b) (* a c))) (/ 1 (fabs b)))))))
Calls

9 calls:

TimeVariablePointExpression
16.0ms
c
@-inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/ (- (fabs b) b) a) (- (fabs b) b) (fabs b) b a 1/2 (/ (neg c) (fabs b)) (neg c) c (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) 1/2) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) -4 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (* c (/ (sqrt (* (/ a c) -4)) a)) 1/2) (* c (/ (sqrt (* (/ a c) -4)) a)) (/ (sqrt (* (/ a c) -4)) a) (sqrt (* (/ a c) -4)) (* (/ a c) -4) (/ a c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) (neg (/ (* (* c c) a) (* b b))) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) (* b b))
9.0ms
a
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/ (- (fabs b) b) a) (- (fabs b) b) (fabs b) b a 1/2 (/ (neg c) (fabs b)) (neg c) c (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) 1/2) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) -4 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (* c (/ (sqrt (* (/ a c) -4)) a)) 1/2) (* c (/ (sqrt (* (/ a c) -4)) a)) (/ (sqrt (* (/ a c) -4)) a) (sqrt (* (/ a c) -4)) (* (/ a c) -4) (/ a c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) (neg (/ (* (* c c) a) (* b b))) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) (* b b))
9.0ms
b
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/ (- (fabs b) b) a) (- (fabs b) b) (fabs b) b a 1/2 (/ (neg c) (fabs b)) (neg c) c (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) 1/2) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) -4 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (* c (/ (sqrt (* (/ a c) -4)) a)) 1/2) (* c (/ (sqrt (* (/ a c) -4)) a)) (/ (sqrt (* (/ a c) -4)) a) (sqrt (* (/ a c) -4)) (* (/ a c) -4) (/ a c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) (neg (/ (* (* c c) a) (* b b))) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) (* b b))
7.0ms
a
@inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/ (- (fabs b) b) a) (- (fabs b) b) (fabs b) b a 1/2 (/ (neg c) (fabs b)) (neg c) c (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) 1/2) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) -4 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (* c (/ (sqrt (* (/ a c) -4)) a)) 1/2) (* c (/ (sqrt (* (/ a c) -4)) a)) (/ (sqrt (* (/ a c) -4)) a) (sqrt (* (/ a c) -4)) (* (/ a c) -4) (/ a c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) (neg (/ (* (* c c) a) (* b b))) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) (* b b))
7.0ms
a
@-inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/ (- (fabs b) b) a) (- (fabs b) b) (fabs b) b a 1/2 (/ (neg c) (fabs b)) (neg c) c (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) 1/2) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) -4 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (* c (/ (sqrt (* (/ a c) -4)) a)) 1/2) (* c (/ (sqrt (* (/ a c) -4)) a)) (/ (sqrt (* (/ a c) -4)) a) (sqrt (* (/ a c) -4)) (* (/ a c) -4) (/ a c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) (neg (/ (* (* c c) a) (* b b))) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) (* b b))

rewrite160.0ms (3.2%)

Memory
6.3MiB live, 239.0MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05183231
05613058
126993011
081842943
Stop Event
iter-limit
node-limit
iter-limit
Counts
134 → 347
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b))))
(fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b)))
(/.f64 (-.f64 (fabs.f64 b) b) a)
(-.f64 (fabs.f64 b) b)
(fabs.f64 b)
b
a
#s(literal 1/2 binary64)
(/.f64 (neg.f64 c) (fabs.f64 b))
(neg.f64 c)
c
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))
(*.f64 (/.f64 c a) #s(literal -4 binary64))
(/.f64 c a)
#s(literal -4 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal 1/2 binary64))
(*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a))
(/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))
(*.f64 (/.f64 a c) #s(literal -4 binary64))
(/.f64 a c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b))
(/.f64 (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b)
(+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))
(neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))
(*.f64 (*.f64 c c) a)
(*.f64 c c)
(*.f64 b b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (- (sqrt (pow b 2)) b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 (/ (* a c) (sqrt (pow b 2)))) (* 1/2 (- (sqrt (pow b 2)) b))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* -1 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* a (+ (* -2 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -1 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a)))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* 1/2 (/ (- (fabs b) b) a))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (/ (+ (* -1 (/ (* a c) (fabs b))) (* 1/2 (- (fabs b) b))) a)))
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (/ (- (fabs b) b) a)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (neg b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) #s(hole binary64 (* 1/2 (/ (sqrt (* -4 (* a c))) a))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (/ (sqrt (* -4 (* a c))) a)))
#s(approx (* (/ c a) -4) #s(hole binary64 (* -4 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (* (* c (/ (sqrt (* (/ a c) -4)) a)) 1/2) #s(hole binary64 (* 1/2 (/ (* c (sqrt (* -4 (/ a c)))) a))))
#s(approx (* c (/ (sqrt (* (/ a c) -4)) a)) #s(hole binary64 (/ (* c (sqrt (* -4 (/ a c)))) a)))
#s(approx (/ (sqrt (* (/ a c) -4)) a) #s(hole binary64 (/ (sqrt (* -4 (/ a c))) a)))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (sqrt (* -4 (/ a c)))))
#s(approx (* (/ a c) -4) #s(hole binary64 (* -4 (/ a c))))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (* -1 c)))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)))
#s(approx (neg (/ (* (* c c) a) (* b b))) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (/ (* (* c c) a) (* b b)) #s(hole binary64 (/ (* a (pow c 2)) (pow b 2))))
#s(approx (* (* c c) a) #s(hole binary64 (* a (pow c 2))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (sqrt (* -4 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a)))))))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* -1 (/ c (fabs b)))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (+ (* -1 (/ c (fabs b))) (* 1/2 (/ (- (fabs b) b) a)))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (sqrt (* -4 (/ c a)))))
#s(approx (* (* c (/ (sqrt (* (/ a c) -4)) a)) 1/2) #s(hole binary64 (* 1/2 (* c (sqrt (/ -4 (* a c)))))))
#s(approx (* c (/ (sqrt (* (/ a c) -4)) a)) #s(hole binary64 (* c (sqrt (/ -4 (* a c))))))
#s(approx (/ (sqrt (* (/ a c) -4)) a) #s(hole binary64 (sqrt (/ -4 (* a c)))))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* a (sqrt (/ -4 (* a c))))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1/2 (sqrt (* -4 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow b 2) (sqrt (* -4 (/ c a))))) (* 1/16 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3))))) a)) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (* (* c (/ (sqrt (* (/ a c) -4)) a)) 1/2) #s(hole binary64 (* -1/2 (* c (sqrt (/ -4 (* a c)))))))
#s(approx (* c (/ (sqrt (* (/ a c) -4)) a)) #s(hole binary64 (* -1 (* c (sqrt (/ -4 (* a c)))))))
#s(approx (/ (sqrt (* (/ a c) -4)) a) #s(hole binary64 (* -1 (sqrt (/ -4 (* a c))))))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* -1 (* a (sqrt (/ -4 (* a c)))))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (neg (* 4 (* a c))))))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (neg (* 4 (* a c)))) 3)))) (* 1/4 (/ 1 (* a (sqrt (neg (* 4 (* a c))))))))) (* 1/2 (/ 1 a)))))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (+ (* -1 (/ c (fabs b))) (* 1/2 (/ (fabs b) a)))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (+ (* -1 (/ c (fabs b))) (+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs b) a))))))
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (/ (fabs b) a)))
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (+ (* -1 (/ b a)) (/ (fabs b) a))))
#s(approx (- (fabs b) b) #s(hole binary64 (fabs b)))
#s(approx (- (fabs b) b) #s(hole binary64 (+ (fabs b) (* -1 b))))
#s(approx b #s(hole binary64 b))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* -1/2 (/ b a))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* b (- (+ (* -1 (/ c (* b (fabs b)))) (* 1/2 (/ (fabs b) (* a b)))) (* 1/2 (/ 1 a))))))
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* b (- (/ (fabs b) (* a b)) (/ 1 a)))))
#s(approx (- (fabs b) b) #s(hole binary64 (* b (- (/ (fabs b) b) 1))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ c (fabs b))) (* 1/2 (/ (fabs b) a))) b)) (* 1/2 (/ 1 a)))))))
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (fabs b) (* a b))) (/ 1 a))))))
#s(approx (- (fabs b) b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (fabs b) b)))))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c (sqrt (pow b 2)))) (* 1/2 (/ (- (sqrt (pow b 2)) b) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -1 (/ a (pow (sqrt (pow b 2)) 3))))) (/ 1 (sqrt (pow b 2))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (sqrt (* (/ a c) -4)) a) #s(hole binary64 (/ (sqrt (* -4 (* a c))) (* a c))))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (/ (sqrt (* -4 (* a c))) c)))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 2))) 1))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3))))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* c (- (* 1/2 (/ (- (fabs b) b) (* a c))) (/ 1 (fabs b))))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) #s(hole binary64 (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) #s(hole binary64 (* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1/2 (/ (* c (sqrt (* -4 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (/ (pow b 2) (* a (* c (sqrt (* -4 (/ a c)))))))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3))))) (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ a c))))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* -1 (* c (+ (* -1/2 (/ (- (fabs b) b) (* a c))) (/ 1 (fabs b)))))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b))))
(/.f64 (fma.f64 (neg.f64 (neg.f64 c)) a (*.f64 (neg.f64 (fabs.f64 b)) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (fabs.f64 b)) a))
(/.f64 (fma.f64 (neg.f64 c) a (*.f64 (fabs.f64 b) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)))) (*.f64 (fabs.f64 b) a))
(/.f64 (fma.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 b)) (*.f64 a (neg.f64 (neg.f64 c)))) (*.f64 a (neg.f64 (fabs.f64 b))))
(/.f64 (fma.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (fabs.f64 b) (*.f64 a (neg.f64 c))) (*.f64 a (fabs.f64 b)))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) (*.f64 a a)))) (neg.f64 (-.f64 (/.f64 (neg.f64 c) (fabs.f64 b)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b b)))) (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)) (/.f64 (neg.f64 c) (fabs.f64 b)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (neg.f64 c) b) (*.f64 (pow.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) (*.f64 a a)) (/.f64 (*.f64 (neg.f64 c) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) (*.f64 (fabs.f64 b) a))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 c c) (neg.f64 c)) (*.f64 (*.f64 b b) b)))) (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)) (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (neg.f64 c)) (*.f64 a (fabs.f64 b)))))))
(/.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) (*.f64 a a))) (-.f64 (/.f64 (neg.f64 c) (fabs.f64 b)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b b))) (-.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)) (/.f64 (neg.f64 c) (fabs.f64 b))))
(/.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (neg.f64 c) b) (*.f64 (pow.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (/.f64 c b) (/.f64 c b) (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) (*.f64 a a)) (/.f64 (*.f64 (neg.f64 c) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) (*.f64 (fabs.f64 b) a)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 c c) (neg.f64 c)) (*.f64 (*.f64 b b) b))) (fma.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)) (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (neg.f64 c)) (*.f64 a (fabs.f64 b))))))
(fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b)))
(fma.f64 #s(literal -1 binary64) (/.f64 c (fabs.f64 b)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 b) b) a) (/.f64 (neg.f64 c) (fabs.f64 b)))
(-.f64 (/.f64 (neg.f64 c) (fabs.f64 b)) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (fabs.f64 b) b) a)))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) (neg.f64 c)) (*.f64 (*.f64 b b) b)) (fma.f64 (/.f64 c b) (/.f64 c b) (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) (*.f64 a a)) (/.f64 (*.f64 (neg.f64 c) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) (*.f64 (fabs.f64 b) a))))) (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 c b) (/.f64 c b) (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) (*.f64 a a)) (/.f64 (*.f64 (neg.f64 c) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) (*.f64 (fabs.f64 b) a))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)) (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (neg.f64 c)) (*.f64 a (fabs.f64 b)))))) (/.f64 (/.f64 (*.f64 (*.f64 c c) (neg.f64 c)) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)) (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64)) (neg.f64 c)) (*.f64 a (fabs.f64 b)))))))
(+.f64 (/.f64 (neg.f64 c) (fabs.f64 b)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)) (/.f64 (neg.f64 c) (fabs.f64 b)))
(/.f64 (-.f64 (neg.f64 (fabs.f64 b)) (neg.f64 b)) (neg.f64 a))
(/.f64 (-.f64 (*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 a)) (*.f64 (neg.f64 a) (neg.f64 b))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (neg.f64 (fabs.f64 b)) a) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) a))
(/.f64 (-.f64 (*.f64 (fabs.f64 b) (neg.f64 a)) (*.f64 a (neg.f64 b))) (*.f64 a (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (fabs.f64 b) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (neg.f64 (neg.f64 (-.f64 (fabs.f64 b) b))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (-.f64 (fabs.f64 b) b)) (neg.f64 a))
(/.f64 (-.f64 (fabs.f64 b) b) a)
(-.f64 (/.f64 (fabs.f64 b) a) (/.f64 b a))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 b b))) (neg.f64 (+.f64 (fabs.f64 b) b)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) (neg.f64 (fma.f64 b b (fma.f64 b b (*.f64 (fabs.f64 b) b)))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (fabs.f64 b) b))
(/.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (fma.f64 b b (fma.f64 b b (*.f64 (fabs.f64 b) b))))
(-.f64 (fabs.f64 b) b)
(*.f64 (sqrt.f64 (fabs.f64 b)) (sqrt.f64 (fabs.f64 b)))
(*.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)))
(*.f64 (sqrt.f64 b) (sqrt.f64 b))
(*.f64 (pow.f64 (fabs.f64 b) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 b) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 b))
(*.f64 (fabs.f64 b) #s(literal 1 binary64))
(pow.f64 (*.f64 b b) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 b)))
(sqrt.f64 (*.f64 b b))
(fabs.f64 (neg.f64 (neg.f64 b)))
(fabs.f64 (fabs.f64 b))
(fabs.f64 (neg.f64 b))
(fabs.f64 b)
(exp.f64 (/.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 b b)) #s(literal 1/2 binary64)))
b
a
#s(literal 1/2 binary64)
(*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c (fabs.f64 b)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (fabs.f64 b))))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (fabs.f64 b)))
(/.f64 (neg.f64 c) (fabs.f64 b))
(neg.f64 (/.f64 c (fabs.f64 b)))
(*.f64 #s(literal -1 binary64) c)
(*.f64 c #s(literal -1 binary64))
(neg.f64 c)
c
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(*.f64 (/.f64 b a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))
(pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))
(/.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (fabs.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))
(*.f64 (/.f64 c a) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 c a))
(pow.f64 (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) c)) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 c #s(literal -4 binary64))) (neg.f64 a))
(/.f64 (*.f64 #s(literal -4 binary64) c) a)
(/.f64 (*.f64 c #s(literal -4 binary64)) a)
(sqrt.f64 (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (*.f64 (/.f64 c a) #s(literal -4 binary64))))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 c) (neg.f64 a))
(/.f64 c a)
#s(literal -4 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) c) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) c) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) c))
(*.f64 c (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c))) (neg.f64 a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) a)
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) c)
(*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) (neg.f64 a))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a)
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (neg.f64 a))
(/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)
(*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))
(pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 c))
(/.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (fabs.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
(*.f64 (/.f64 a c) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 a c))
(pow.f64 (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (*.f64 (/.f64 a c) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) a)) (neg.f64 c))
(/.f64 (neg.f64 (*.f64 a #s(literal -4 binary64))) (neg.f64 c))
(/.f64 (*.f64 #s(literal -4 binary64) a) c)
(/.f64 (*.f64 a #s(literal -4 binary64)) c)
(sqrt.f64 (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (*.f64 (/.f64 a c) #s(literal -4 binary64))))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 a) (neg.f64 c))
(/.f64 a c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
(*.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
(/.f64 (fma.f64 (neg.f64 c) b (*.f64 b (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)))) (*.f64 b b))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))) (neg.f64 b))
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(-.f64 (neg.f64 c) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b)))))
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(+.f64 (cosh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))))
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(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
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#s(approx a a)
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#s(approx (* (/ c a) -4) (*.f64 (/.f64 c a) #s(literal -4 binary64)))
#s(approx (/ c a) (/.f64 c a))
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#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) (neg.f64 c))
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#s(approx (neg (/ (* (* c c) a) (* b b))) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)))
#s(approx (/ (* (* c c) a) (* b b)) (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))))
#s(approx (* (* c c) a) (*.f64 (*.f64 c c) a))
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#s(approx (* c (/ (sqrt (* (/ a c) -4)) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c))
#s(approx (/ (sqrt (* (/ a c) -4)) a) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))))
#s(approx (sqrt (* (/ a c) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) a))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 b b) b)))
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a))))
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) #s(literal -1/4 binary64))) a))) a))))
#s(approx (* (* c (/ (sqrt (* (/ a c) -4)) a)) 1/2) (*.f64 (*.f64 #s(literal -1/2 binary64) c) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (* c (/ (sqrt (* (/ a c) -4)) a)) (*.f64 (neg.f64 c) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (/ (sqrt (* (/ a c) -4)) a) (neg.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (sqrt (* (/ a c) -4)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) a)))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (neg.f64 (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) (/.f64 c b) (/.f64 c (*.f64 a b))) a)))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) (neg.f64 (*.f64 (-.f64 (/.f64 c a) (neg.f64 (/.f64 (*.f64 c c) (*.f64 b b)))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 #s(literal -1/2 binary64) b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) a)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 b) (*.f64 #s(literal -1/2 binary64) b)) a) (/.f64 (neg.f64 c) (fabs.f64 b))))
#s(approx (/ (- (fabs b) b) a) (/.f64 (fabs.f64 b) a))
#s(approx (/ (- (fabs b) b) a) (/.f64 (+.f64 (fabs.f64 b) (neg.f64 b)) a))
#s(approx (- (fabs b) b) (fabs.f64 b))
#s(approx (- (fabs b) b) (+.f64 (fabs.f64 b) (neg.f64 b)))
#s(approx b b)
#s(approx (neg b) (neg.f64 b))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 b b) c)) (neg.f64 (*.f64 (*.f64 c c) a))) (*.f64 (*.f64 b b) b)))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) (/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 b b) c)) (*.f64 (*.f64 c c) a)) (*.f64 b b)))
#s(approx (* b b) (*.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -2 binary64) (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -2 binary64) (+.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b b)) a)))) b))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (*.f64 (-.f64 (fma.f64 (/.f64 (fabs.f64 b) (*.f64 a b)) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (*.f64 (fabs.f64 b) b))) (/.f64 #s(literal 1/2 binary64) a)) b))
#s(approx (/ (- (fabs b) b) a) (*.f64 (-.f64 (/.f64 (fabs.f64 b) (*.f64 a b)) (/.f64 #s(literal 1 binary64) a)) b))
#s(approx (- (fabs b) b) (*.f64 (-.f64 (/.f64 (fabs.f64 b) b) #s(literal 1 binary64)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (+.f64 (+.f64 (neg.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b b))) #s(literal -2 binary64) (+.f64 (+.f64 (neg.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b))))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b))) b)) (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (/ (- (fabs b) b) a) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (fabs.f64 b) (*.f64 a b))) (/.f64 #s(literal 1 binary64) a))))
#s(approx (- (fabs b) b) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (fabs.f64 b) b)) #s(literal 1 binary64))))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (pow.f64 (fabs.f64 b) #s(literal 5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 a (*.f64 (*.f64 b b) b)))) c) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64))))
#s(approx c c)
#s(approx (/ (sqrt (* (/ a c) -4)) a) (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 c a)))
#s(approx (sqrt (* (/ a c) -4)) (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) c))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal 1 binary64) b)) c))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 1 binary64)) c))
#s(approx (* c c) (*.f64 c c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64)))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64))))) c))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) (*.f64 c a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) c))
#s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (*.f64 (*.f64 c c) (-.f64 (neg.f64 (/.f64 a (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) (*.f64 c b)))))
#s(approx (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) c) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 b (*.f64 c a)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c) a)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a c) #s(literal -4 binary64))))) #s(literal -1/16 binary64))) c))) c)))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) (*.f64 c a)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 b)))))

eval71.0ms (1.4%)

Memory
-7.9MiB live, 83.5MiB allocated; 8ms collecting garbage
Compiler

Compiled 4 035 to 1 701 computations (57.8% saved)

prune17.0ms (0.3%)

Memory
34.9MiB live, 34.9MiB allocated; 0ms collecting garbage
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New3168324
Fresh4913
Picked325
Done000
Total32319342
Accuracy
100.0%
Counts
342 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.6%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
28.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
42.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 2 binary64) a))
12.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
27.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
70.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b))))
14.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) a))
34.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
39.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
32.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
16.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) #s(literal 1/2 binary64)))
15.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a)) #s(literal 1/2 binary64)))
31.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
18.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))))
16.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
32.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (+.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 b b) b)) (/.f64 (neg.f64 c) b))))
40.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (fabs.f64 b))))
14.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
24.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (* c (/ (sqrt (* (/ a c) -4)) a)) 1/2) (*.f64 (*.f64 #s(literal -1/2 binary64) c) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))))))
Compiler

Compiled 796 to 789 computations (0.9% saved)

series34.0ms (0.7%)

Memory
0.5MiB live, 53.3MiB allocated; 5ms collecting garbage
Counts
32 → 137
Calls
Call 1
Inputs
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
(*.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
a
c
(*.f64 b b)
b
(neg.f64 b)
(+.f64 a a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))
#s(literal -1/2 binary64)
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))
(*.f64 (/.f64 c a) #s(literal -4 binary64))
(/.f64 c a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(*.f64 c a)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
Outputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* 1/2 (/ (- (sqrt (pow b 2)) b) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -1 (/ (* a c) (sqrt (pow b 2)))) (* 1/2 (- (sqrt (pow b 2)) b))) a)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* -1 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* a (+ (* -2 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -1 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (sqrt (pow b 2)) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (sqrt (pow b 2))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2))))
#s(approx (* -4 a) #s(hole binary64 (* -4 a)))
#s(approx a #s(hole binary64 a))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (/ (sqrt (* -4 (* a c))) a))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (/ (sqrt (* -4 (* a c))) a)))
#s(approx (* (/ c a) -4) #s(hole binary64 (* -4 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (sqrt (* -4 (* c a))) #s(hole binary64 (sqrt (* -4 (* a c)))))
#s(approx (* -4 (* c a)) #s(hole binary64 (* -4 (* a c))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* 1/2 (sqrt (* -4 (/ c a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (sqrt (* -4 (/ c a))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))) (/ b a)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))) (/ b a)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a)))))
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (sqrt (* -4 (/ c a))))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (sqrt (* -4 (/ c a)))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 4 c)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow b 2) (sqrt (* -4 (/ c a))))) (* 1/16 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3))))) a)) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (sqrt (* -4 (/ c a)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) b) a)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ c a)))))) a)) b) a)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* 1/2 (/ (sqrt (* -4 (* a c))) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (* -4 (* a c))) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (* -4 (* a c))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (* -4 (* a c)))))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (* -4 (* a c))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (* -4 (* a c))) 3)))) (* 1/4 (/ 1 (* a (sqrt (* -4 (* a c)))))))) (* 1/2 (/ 1 a)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* -1 b))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* b (- (* 1/2 (/ b (sqrt (* -4 (* a c))))) 1)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -4 (* a c))))))) 1)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (* a c))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -4 (* a c))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 5))) (* 1/8 (/ 1 (pow (sqrt (* -4 (* a c))) 3))))) (* 1/2 (/ 1 (sqrt (* -4 (* a c))))))))))
#s(approx b #s(hole binary64 b))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (neg (* 4 (* a c))))))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (neg (* 4 (* a c)))) 3)))) (* 1/4 (/ 1 (* a (sqrt (neg (* 4 (* a c))))))))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (neg c) b) #s(hole binary64 (* -1 (/ c b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (sqrt (neg (* 4 (* a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* -1 b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* b (- (* 1/2 (/ b (sqrt (neg (* 4 (* a c)))))) 1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 4 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 4 (* a c)))))))) 1)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* 1/2 (/ (pow b 2) (sqrt (neg (* 4 (* a c)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 4 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 4 (* a c)))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (neg (* 4 (* a c)))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 4 (* a c)))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 4 (* a c)))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (- (pow b 2) (* 4 (* a c)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c (sqrt (pow b 2)))) (* 1/2 (/ (- (sqrt (pow b 2)) b) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -1 (/ a (pow (sqrt (pow b 2)) 3))))) (/ 1 (sqrt (pow b 2))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* 1/2 (/ (* c (sqrt (* -4 (/ a c)))) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3))))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (sqrt (* -4 (/ a c))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))) (/ b c)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))) (/ b c)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c)))))
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (* c (sqrt (/ -4 (* a c)))))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* c (sqrt (/ -4 (* a c))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 4 a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1/2 (/ (* c (sqrt (* -4 (/ a c)))) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (/ (pow b 2) (* a (* c (sqrt (* -4 (/ a c)))))))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3))))) (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ a c))))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (sqrt (* -4 (/ a c)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -4 (/ a c)))))) b) c)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ a c)))))) c)) b) c)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))))
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* 1/2 (* c (sqrt (/ -4 (* a c)))))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* -1 (* c (sqrt (/ -4 (* a c)))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
a
@-inf
((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* -4 a) -4 a c (* b b) b (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* -1/2 (sqrt (* (/ c a) -4))) -1/2 (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* -4 (* c a))) (* -4 (* c a)) (* c a) (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)))
4.0ms
c
@-inf
((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* -4 a) -4 a c (* b b) b (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* -1/2 (sqrt (* (/ c a) -4))) -1/2 (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* -4 (* c a))) (* -4 (* c a)) (* c a) (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)))
3.0ms
b
@0
((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* -4 a) -4 a c (* b b) b (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* -1/2 (sqrt (* (/ c a) -4))) -1/2 (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* -4 (* c a))) (* -4 (* c a)) (* c a) (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)))
3.0ms
c
@inf
((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* -4 a) -4 a c (* b b) b (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* -1/2 (sqrt (* (/ c a) -4))) -1/2 (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* -4 (* c a))) (* -4 (* c a)) (* c a) (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)))
3.0ms
a
@inf
((/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* -4 a) -4 a c (* b b) b (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* -1/2 (sqrt (* (/ c a) -4))) -1/2 (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* -4 (* c a))) (* -4 (* c a)) (* c a) (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)))

rewrite270.0ms (5.4%)

Memory
-23.0MiB live, 254.9MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07325336
07645055
142164967
085924725
Stop Event
iter-limit
node-limit
iter-limit
Counts
169 → 379
Calls
Call 1
Inputs
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
(*.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
a
c
(*.f64 b b)
b
(neg.f64 b)
(+.f64 a a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))
#s(literal -1/2 binary64)
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))
(*.f64 (/.f64 c a) #s(literal -4 binary64))
(/.f64 c a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(*.f64 c a)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* 1/2 (/ (- (sqrt (pow b 2)) b) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -1 (/ (* a c) (sqrt (pow b 2)))) (* 1/2 (- (sqrt (pow b 2)) b))) a)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* -1 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* a (+ (* -2 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -1 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (sqrt (pow b 2)) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (sqrt (pow b 2))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2))))
#s(approx (* -4 a) #s(hole binary64 (* -4 a)))
#s(approx a #s(hole binary64 a))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (/ (sqrt (* -4 (* a c))) a))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (/ (sqrt (* -4 (* a c))) a)))
#s(approx (* (/ c a) -4) #s(hole binary64 (* -4 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (sqrt (* -4 (* c a))) #s(hole binary64 (sqrt (* -4 (* a c)))))
#s(approx (* -4 (* c a)) #s(hole binary64 (* -4 (* a c))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* 1/2 (sqrt (* -4 (/ c a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (sqrt (* -4 (/ c a))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))) (/ b a)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))) (/ b a)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a)))))
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (sqrt (* -4 (/ c a))))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (sqrt (* -4 (/ c a)))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 4 c)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow b 2) (sqrt (* -4 (/ c a))))) (* 1/16 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3))))) a)) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (sqrt (* -4 (/ c a)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) b) a)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ c a)))))) a)) b) a)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -4 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* 1/2 (/ (sqrt (* -4 (* a c))) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (* -4 (* a c))) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (* -4 (* a c))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (* -4 (* a c)))))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (* -4 (* a c))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (* -4 (* a c))) 3)))) (* 1/4 (/ 1 (* a (sqrt (* -4 (* a c)))))))) (* 1/2 (/ 1 a)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* -1 b))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* b (- (* 1/2 (/ b (sqrt (* -4 (* a c))))) 1)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -4 (* a c))))))) 1)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (* a c))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -4 (* a c))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -4 (* a c))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (* -4 (* a c))) 5))) (* 1/8 (/ 1 (pow (sqrt (* -4 (* a c))) 3))))) (* 1/2 (/ 1 (sqrt (* -4 (* a c))))))))))
#s(approx b #s(hole binary64 b))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (neg (* 4 (* a c))))))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (neg (* 4 (* a c)))) 3)))) (* 1/4 (/ 1 (* a (sqrt (neg (* 4 (* a c))))))))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (neg c) b) #s(hole binary64 (* -1 (/ c b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (sqrt (neg (* 4 (* a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* -1 b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* b (- (* 1/2 (/ b (sqrt (neg (* 4 (* a c)))))) 1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 4 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 4 (* a c)))))))) 1)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* 1/2 (/ (pow b 2) (sqrt (neg (* 4 (* a c)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 4 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 4 (* a c)))))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (neg (* 4 (* a c)))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 4 (* a c)))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 4 (* a c)))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (- (pow b 2) (* 4 (* a c)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* -1 (/ c (sqrt (pow b 2)))) (* 1/2 (/ (- (sqrt (pow b 2)) b) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -1 (/ a (pow (sqrt (pow b 2)) 3))))) (/ 1 (sqrt (pow b 2))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* 1/2 (/ (* c (sqrt (* -4 (/ a c)))) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3))))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (sqrt (* -4 (/ a c))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))) (/ b c)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))) (/ b c)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c)))))
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* -1/2 (* c (sqrt (/ -4 (* a c)))))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* c (sqrt (/ -4 (* a c))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 4 a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1/2 (/ (* c (sqrt (* -4 (/ a c)))) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (/ (pow b 2) (* a (* c (sqrt (* -4 (/ a c)))))))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3))))) (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ a c))))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (sqrt (* -4 (/ a c)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -4 (/ a c)))))) b) c)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ a c)))))) c)) b) c)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -4 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))))
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) #s(hole binary64 (* 1/2 (* c (sqrt (/ -4 (* a c)))))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* -1 (* c (sqrt (/ -4 (* a c)))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))))
Outputs
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b)))) (neg.f64 (neg.f64 (+.f64 a a))))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)) a)
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b))) (neg.f64 (+.f64 a a)))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (+.f64 a a)) (/.f64 (neg.f64 b) (+.f64 a a)))
(+.f64 (/.f64 (neg.f64 b) (+.f64 a a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (+.f64 a a)))
(/.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b b))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 (*.f64 b b) (neg.f64 b)))) (neg.f64 (+.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (neg.f64 (fma.f64 b b (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))))
(/.f64 (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b)))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 (*.f64 b b) (neg.f64 b))) (+.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b)))))
(/.f64 (fma.f64 (*.f64 b b) (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 b b (-.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 b b) (*.f64 b b)))) (sqrt.f64 (-.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 b b))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (*.f64 c a) #s(literal -4 binary64)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) (sqrt.f64 (fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal -1/2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 (neg.f64 b)))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (exp.f64 (log.f64 b)))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 (fabs.f64 b)))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (fabs.f64 b))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 b))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)
(hypot.f64 (neg.f64 (neg.f64 b)) (fabs.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(hypot.f64 (neg.f64 (neg.f64 b)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(hypot.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))
(hypot.f64 (exp.f64 (log.f64 b)) (fabs.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(hypot.f64 (exp.f64 (log.f64 b)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(hypot.f64 (exp.f64 (log.f64 b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))
(hypot.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(hypot.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(hypot.f64 (neg.f64 (fabs.f64 b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 (neg.f64 b)))
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(/.f64 (neg.f64 (fma.f64 (*.f64 b b) (neg.f64 b) (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))) (neg.f64 (fma.f64 b b (-.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))))))
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(fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) #s(literal -1/2 binary64)))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (fabs.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))))
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))))
(*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(pow.f64 (*.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal 2 binary64))
(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) #s(literal 1 binary64))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(sqrt.f64 (*.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64) (neg.f64 (*.f64 a (/.f64 c (fabs.f64 b))))) a))
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 (fabs.f64 b) #s(literal 5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))))) a (/.f64 (neg.f64 c) (fabs.f64 b))) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c (fabs.f64 b)) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))))) a (fabs.f64 b)) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fma.f64 a (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)) (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b)) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fabs.f64 b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c (fabs.f64 b)) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))))) a (fabs.f64 b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 a (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)) (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
#s(approx (- (* b b) (* (* 4 a) c)) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
#s(approx (* -4 a) (*.f64 a #s(literal -4 binary64)))
#s(approx a a)
#s(approx (+ a a) (+.f64 a a))
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal -1/2 binary64)))
#s(approx (sqrt (* (/ c a) -4)) (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a))
#s(approx (* (/ c a) -4) (*.f64 (/.f64 c a) #s(literal -4 binary64)))
#s(approx (/ c a) (/.f64 c a))
#s(approx (sqrt (* -4 (* c a))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))
#s(approx (* -4 (* c a)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
#s(approx (* c a) (*.f64 c a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (/.f64 b a)) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (/.f64 b a)) a))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) (fma.f64 (/.f64 (exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 6 binary64)) (*.f64 (log.f64 a) #s(literal 6 binary64)))) (pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)) a))
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal -1/2 binary64)))
#s(approx (sqrt (* (/ c a) -4)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) #s(literal -1/4 binary64))) a))) a))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) #s(literal 1/2 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) (fma.f64 (/.f64 (exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 6 binary64)) (*.f64 (log.f64 a) #s(literal 6 binary64)))) (pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)))
#s(approx (- (* b b) (* (* 4 a) c)) (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a)))
#s(approx (- (* b b) (* (* 4 a) c)) (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) a)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (neg.f64 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.f64 (*.f64 (/.f64 b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
#s(approx b b)
#s(approx (neg b) (neg.f64 b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) a)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) #s(literal 1/2 binary64))))
#s(approx (/ (neg c) b) (/.f64 (neg.f64 c) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (neg.f64 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.f64 (*.f64 (/.f64 b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
#s(approx (- (* b b) (* (* 4 a) c)) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))) (neg.f64 c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -2 binary64) (neg.f64 c)) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -2 binary64) (neg.f64 c)) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) a)) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))))) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64)) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 1 binary64)) b))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (+.f64 (+.f64 (neg.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -2 binary64) (+.f64 (+.f64 (neg.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 2 binary64))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 1 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (*.f64 (fabs.f64 b) (*.f64 b b))))) c) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a (fabs.f64 b)) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))))) c (fabs.f64 b)) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -2 binary64))) (fabs.f64 b)) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a (fabs.f64 b)) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))))) c (fabs.f64 b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -2 binary64))) (fabs.f64 b)))
#s(approx c c)
#s(approx (neg c) (neg.f64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 6 binary64)) (*.f64 (log.f64 c) #s(literal 6 binary64)))) (pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) c))
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) (*.f64 (*.f64 #s(literal -1/2 binary64) c) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 b (*.f64 c a)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 c a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) #s(literal -1/4 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/16 binary64))) c))) c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (+.f64 (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c c) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/8 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 c) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 c) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 6 binary64)) (*.f64 (log.f64 c) #s(literal 6 binary64)))) (pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (neg.f64 (/.f64 (*.f64 b b) c)))))
#s(approx (* -1/2 (sqrt (* (/ c a) -4))) (*.f64 (*.f64 #s(literal 1/2 binary64) c) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (sqrt (* (/ c a) -4)) (*.f64 (neg.f64 c) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (neg.f64 (/.f64 (*.f64 b b) c)))))

eval41.0ms (0.8%)

Memory
38.4MiB live, 84.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 4 945 to 1 643 computations (66.8% saved)

prune31.0ms (0.6%)

Memory
-2.8MiB live, 50.0MiB allocated; 15ms collecting garbage
Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New3547361
Fresh4812
Picked235
Done022
Total36020380
Accuracy
100.0%
Counts
380 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.6%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
28.3%
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 b)) (+.f64 a a))
42.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)) (+.f64 a a))
16.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a))) (*.f64 #s(literal 2 binary64) a))
16.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))) (*.f64 #s(literal 2 binary64) a))
27.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (+.f64 a a))
70.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b))))
34.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
39.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
32.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
16.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) #s(literal 1/2 binary64)))
15.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a)) #s(literal 1/2 binary64)))
31.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
17.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal -1/2 binary64)))))
18.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))))
16.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
24.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c))))
32.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (+.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 b b) b)) (/.f64 (neg.f64 c) b))))
40.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (fabs.f64 b))))
14.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
Compiler

Compiled 770 to 763 computations (0.9% saved)

series55.0ms (1.1%)

Memory
-17.9MiB live, 108.7MiB allocated; 25ms collecting garbage
Counts
36 → 134
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)) (+.f64 a a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b))
(-.f64 (fabs.f64 b) b)
(fabs.f64 b)
b
(+.f64 a a)
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (fabs.f64 b))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (fabs.f64 b)))
(/.f64 (neg.f64 c) (fabs.f64 b))
(neg.f64 c)
c
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a))
(sqrt.f64 (*.f64 c #s(literal -4 binary64)))
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
(sqrt.f64 a)
#s(literal 1/2 binary64)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)))
(*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))
(sqrt.f64 (*.f64 a #s(literal -4 binary64)))
(*.f64 a #s(literal -4 binary64))
(sqrt.f64 c)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
(*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)))
(neg.f64 b)
(+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (neg.f64 c) (*.f64 b b))
(*.f64 b b)
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* 1/2 (/ (- (sqrt (pow b 2)) b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (/ (+ (* -1 (/ (* a c) (sqrt (pow b 2)))) (* 1/2 (- (sqrt (pow b 2)) b))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* -1 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* a (+ (* -2 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -1 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (sqrt (pow b 2)) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx a #s(hole binary64 a))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* 1/2 (/ (- (fabs b) b) a))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (/ (+ (* -1 (/ (* a c) (fabs b))) (* 1/2 (- (fabs b) b))) a)))
#s(approx (* (/ (sqrt (* c -4)) (sqrt a)) 1/2) #s(hole binary64 (* 1/2 (/ (sqrt (* -4 c)) (sqrt a)))))
#s(approx (/ (sqrt (* c -4)) (sqrt a)) #s(hole binary64 (/ (sqrt (* -4 c)) (sqrt a))))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (* (sqrt (* a -4)) (sqrt c)) #s(hole binary64 (* (sqrt c) (sqrt (* -4 a)))))
#s(approx (sqrt (* a -4)) #s(hole binary64 (sqrt (* -4 a))))
#s(approx (* a -4) #s(hole binary64 (* -4 a)))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) #s(hole binary64 (* -1 (/ b a))))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) #s(hole binary64 (/ (+ (* -1 b) (/ (* a c) b)) a)))
#s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) #s(hole binary64 (/ 1 a)))
#s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) #s(hole binary64 (/ (+ 1 (* -1 (/ (* a c) (pow b 2)))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* 1/2 (sqrt (* -4 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (sqrt (* -4 (/ c a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))) (/ b a)))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* -1 (/ c (fabs b)))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (+ (* -1 (/ c (fabs b))) (* 1/2 (/ (- (fabs b) b) a)))))
#s(approx (* (/ (sqrt (* c -4)) (sqrt a)) 1/2) #s(hole binary64 (* 1/2 (/ (sqrt (* -4 c)) (* a (sqrt (/ 1 a)))))))
#s(approx (/ (sqrt (* c -4)) (sqrt a)) #s(hole binary64 (/ (sqrt (* -4 c)) (* a (sqrt (/ 1 a))))))
#s(approx (sqrt a) #s(hole binary64 (* a (sqrt (/ 1 a)))))
#s(approx (* (sqrt (* a -4)) (sqrt c)) #s(hole binary64 (* a (* (sqrt c) (sqrt (/ -4 a))))))
#s(approx (sqrt (* a -4)) #s(hole binary64 (* a (sqrt (/ -4 a)))))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) #s(hole binary64 (/ c b)))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) #s(hole binary64 (+ (* -1 (/ b a)) (/ c b))))
#s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) #s(hole binary64 (* -1 (/ c (pow b 2)))))
#s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) #s(hole binary64 (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1/2 (sqrt (* -4 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* -1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow b 2) (sqrt (* -4 (/ c a))))) (* 1/16 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3))))) a)) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (sqrt (* -4 (/ c a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) b) a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ c a)))))) a)) b) a)))))))
#s(approx (* (/ (sqrt (* c -4)) (sqrt a)) 1/2) #s(hole binary64 (* -1/2 (/ (sqrt (* -4 c)) (* a (sqrt (/ 1 a)))))))
#s(approx (/ (sqrt (* c -4)) (sqrt a)) #s(hole binary64 (* -1 (/ (sqrt (* -4 c)) (* a (sqrt (/ 1 a)))))))
#s(approx (sqrt a) #s(hole binary64 (* -1 (* a (sqrt (/ 1 a))))))
#s(approx (* (sqrt (* a -4)) (sqrt c)) #s(hole binary64 (* -1 (* a (* (sqrt c) (sqrt (/ -4 a)))))))
#s(approx (sqrt (* a -4)) #s(hole binary64 (* -1 (* a (sqrt (/ -4 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (neg (* 4 (* a c))))))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (neg (* 4 (* a c)))) 3)))) (* 1/4 (/ 1 (* a (sqrt (neg (* 4 (* a c))))))))) (* 1/2 (/ 1 a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (sqrt (neg (* 4 (* a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* -1 b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* b (- (* 1/2 (/ b (sqrt (neg (* 4 (* a c)))))) 1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 4 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 4 (* a c)))))))) 1)))))
#s(approx (- (fabs b) b) #s(hole binary64 (fabs b)))
#s(approx (- (fabs b) b) #s(hole binary64 (+ (fabs b) (* -1 b))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (+ (* -1 (/ c (fabs b))) (* 1/2 (/ (fabs b) a)))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (+ (* -1 (/ c (fabs b))) (+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs b) a))))))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) #s(hole binary64 (/ (+ c (* -1 (/ (pow b 2) a))) b)))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) #s(hole binary64 (/ (+ (* -1 c) (/ (pow b 2) a)) (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (- (fabs b) b) #s(hole binary64 (* b (- (/ (fabs b) b) 1))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* -1/2 (/ b a))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* b (- (+ (* -1 (/ c (* b (fabs b)))) (* 1/2 (/ (fabs b) (* a b)))) (* 1/2 (/ 1 a))))))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (- (fabs b) b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (fabs b) b)))))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ c (fabs b))) (* 1/2 (/ (fabs b) a))) b)) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* -1 (/ c (sqrt (pow b 2)))) (* 1/2 (/ (- (sqrt (pow b 2)) b) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -1 (/ a (pow (sqrt (pow b 2)) 3))))) (/ 1 (sqrt (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx c #s(hole binary64 c))
#s(approx (sqrt (* c -4)) #s(hole binary64 (sqrt (* -4 c))))
#s(approx (* c -4) #s(hole binary64 (* -4 c)))
#s(approx (sqrt c) #s(hole binary64 (sqrt c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* 1/2 (/ (* c (sqrt (* -4 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3))))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (sqrt (* -4 (/ a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))) (/ b c)))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* c (- (* 1/2 (/ (- (fabs b) b) (* a c))) (/ 1 (fabs b))))))
#s(approx (* (/ (sqrt (* c -4)) (sqrt a)) 1/2) #s(hole binary64 (* 1/2 (/ (* c (sqrt (/ -4 c))) (sqrt a)))))
#s(approx (/ (sqrt (* c -4)) (sqrt a)) #s(hole binary64 (/ (* c (sqrt (/ -4 c))) (sqrt a))))
#s(approx (sqrt (* c -4)) #s(hole binary64 (* c (sqrt (/ -4 c)))))
#s(approx (* (sqrt (* a -4)) (sqrt c)) #s(hole binary64 (* c (* (sqrt (* -4 a)) (sqrt (/ 1 c))))))
#s(approx (sqrt c) #s(hole binary64 (* c (sqrt (/ 1 c)))))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))))
#s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) #s(hole binary64 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1/2 (/ (* c (sqrt (* -4 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (/ (pow b 2) (* a (* c (sqrt (* -4 (/ a c)))))))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3))))) (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ a c))))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (sqrt (* -4 (/ a c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -4 (/ a c)))))) b) c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ a c)))))) c)) b) c)))))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* -1 (* c (+ (* -1/2 (/ (- (fabs b) b) (* a c))) (/ 1 (fabs b)))))))
#s(approx (* (/ (sqrt (* c -4)) (sqrt a)) 1/2) #s(hole binary64 (* -1/2 (/ (* c (sqrt (/ -4 c))) (sqrt a)))))
#s(approx (/ (sqrt (* c -4)) (sqrt a)) #s(hole binary64 (* -1 (/ (* c (sqrt (/ -4 c))) (sqrt a)))))
#s(approx (sqrt (* c -4)) #s(hole binary64 (* -1 (* c (sqrt (/ -4 c))))))
#s(approx (* (sqrt (* a -4)) (sqrt c)) #s(hole binary64 (* -1 (* c (* (sqrt (* -4 a)) (sqrt (/ 1 c)))))))
#s(approx (sqrt c) #s(hole binary64 (* -1 (* c (sqrt (/ 1 c))))))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b))))))
#s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) #s(hole binary64 (* -1 (* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))))))
Calls

9 calls:

TimeVariablePointExpression
15.0ms
c
@-inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (fabs b) b) (fabs b) b (+ a a) a (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/ (neg c) (fabs b)) (neg c) c (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (sqrt (* c -4)) (sqrt a)) 1/2) (/ (sqrt (* c -4)) (sqrt a)) (sqrt (* c -4)) (* c -4) -4 (sqrt a) 1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (sqrt (* a -4)) (sqrt c)) (sqrt (* a -4)) (* a -4) (sqrt c) (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (neg b) (+ (/ (neg c) (* b b)) (/ 1 a)) (/ (neg c) (* b b)) (* b b) (/ 1 a) 1)
8.0ms
b
@inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (fabs b) b) (fabs b) b (+ a a) a (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/ (neg c) (fabs b)) (neg c) c (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (sqrt (* c -4)) (sqrt a)) 1/2) (/ (sqrt (* c -4)) (sqrt a)) (sqrt (* c -4)) (* c -4) -4 (sqrt a) 1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (sqrt (* a -4)) (sqrt c)) (sqrt (* a -4)) (* a -4) (sqrt c) (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (neg b) (+ (/ (neg c) (* b b)) (/ 1 a)) (/ (neg c) (* b b)) (* b b) (/ 1 a) 1)
6.0ms
a
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (fabs b) b) (fabs b) b (+ a a) a (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/ (neg c) (fabs b)) (neg c) c (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (sqrt (* c -4)) (sqrt a)) 1/2) (/ (sqrt (* c -4)) (sqrt a)) (sqrt (* c -4)) (* c -4) -4 (sqrt a) 1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (sqrt (* a -4)) (sqrt c)) (sqrt (* a -4)) (* a -4) (sqrt c) (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (neg b) (+ (/ (neg c) (* b b)) (/ 1 a)) (/ (neg c) (* b b)) (* b b) (/ 1 a) 1)
5.0ms
a
@inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (fabs b) b) (fabs b) b (+ a a) a (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/ (neg c) (fabs b)) (neg c) c (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (sqrt (* c -4)) (sqrt a)) 1/2) (/ (sqrt (* c -4)) (sqrt a)) (sqrt (* c -4)) (* c -4) -4 (sqrt a) 1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (sqrt (* a -4)) (sqrt c)) (sqrt (* a -4)) (* a -4) (sqrt c) (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (neg b) (+ (/ (neg c) (* b b)) (/ 1 a)) (/ (neg c) (* b b)) (* b b) (/ 1 a) 1)
4.0ms
a
@-inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (fabs b) b) (fabs b) b (+ a a) a (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/ (neg c) (fabs b)) (neg c) c (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (sqrt (* c -4)) (sqrt a)) 1/2) (/ (sqrt (* c -4)) (sqrt a)) (sqrt (* c -4)) (* c -4) -4 (sqrt a) 1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (sqrt (* a -4)) (sqrt c)) (sqrt (* a -4)) (* a -4) (sqrt c) (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (neg b) (+ (/ (neg c) (* b b)) (/ 1 a)) (/ (neg c) (* b b)) (* b b) (/ 1 a) 1)

rewrite264.0ms (5.3%)

Memory
25.2MiB live, 330.3MiB allocated; 114ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07044464
07384180
138684168
081494079
Stop Event
iter-limit
node-limit
iter-limit
Counts
170 → 300
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)) (+.f64 a a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b))
(-.f64 (fabs.f64 b) b)
(fabs.f64 b)
b
(+.f64 a a)
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (fabs.f64 b))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (fabs.f64 b)))
(/.f64 (neg.f64 c) (fabs.f64 b))
(neg.f64 c)
c
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a))
(sqrt.f64 (*.f64 c #s(literal -4 binary64)))
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
(sqrt.f64 a)
#s(literal 1/2 binary64)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)))
(*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))
(sqrt.f64 (*.f64 a #s(literal -4 binary64)))
(*.f64 a #s(literal -4 binary64))
(sqrt.f64 c)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
(*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)))
(neg.f64 b)
(+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (neg.f64 c) (*.f64 b b))
(*.f64 b b)
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* 1/2 (/ (- (sqrt (pow b 2)) b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (/ (+ (* -1 (/ (* a c) (sqrt (pow b 2)))) (* 1/2 (- (sqrt (pow b 2)) b))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* -1 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (/ (+ (* 1/2 (- (sqrt (pow b 2)) b)) (* a (+ (* -1 (/ c (sqrt (pow b 2)))) (* a (+ (* -2 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -1 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (sqrt (pow b 2)) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -2 (/ (* a c) (sqrt (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* -2 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -2 (/ c (sqrt (pow b 2)))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx a #s(hole binary64 a))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* 1/2 (/ (- (fabs b) b) a))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (/ (+ (* -1 (/ (* a c) (fabs b))) (* 1/2 (- (fabs b) b))) a)))
#s(approx (* (/ (sqrt (* c -4)) (sqrt a)) 1/2) #s(hole binary64 (* 1/2 (/ (sqrt (* -4 c)) (sqrt a)))))
#s(approx (/ (sqrt (* c -4)) (sqrt a)) #s(hole binary64 (/ (sqrt (* -4 c)) (sqrt a))))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (* (sqrt (* a -4)) (sqrt c)) #s(hole binary64 (* (sqrt c) (sqrt (* -4 a)))))
#s(approx (sqrt (* a -4)) #s(hole binary64 (sqrt (* -4 a))))
#s(approx (* a -4) #s(hole binary64 (* -4 a)))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) #s(hole binary64 (* -1 (/ b a))))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) #s(hole binary64 (/ (+ (* -1 b) (/ (* a c) b)) a)))
#s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) #s(hole binary64 (/ 1 a)))
#s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) #s(hole binary64 (/ (+ 1 (* -1 (/ (* a c) (pow b 2)))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* 1/2 (sqrt (* -4 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (+ (* 1/4 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))) (* 1/2 (sqrt (* -4 (/ c a)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (sqrt (* -4 (/ c a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a))))))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -4 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -4 (/ c a)))))))) (/ b a)))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* -1 (/ c (fabs b)))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (+ (* -1 (/ c (fabs b))) (* 1/2 (/ (- (fabs b) b) a)))))
#s(approx (* (/ (sqrt (* c -4)) (sqrt a)) 1/2) #s(hole binary64 (* 1/2 (/ (sqrt (* -4 c)) (* a (sqrt (/ 1 a)))))))
#s(approx (/ (sqrt (* c -4)) (sqrt a)) #s(hole binary64 (/ (sqrt (* -4 c)) (* a (sqrt (/ 1 a))))))
#s(approx (sqrt a) #s(hole binary64 (* a (sqrt (/ 1 a)))))
#s(approx (* (sqrt (* a -4)) (sqrt c)) #s(hole binary64 (* a (* (sqrt c) (sqrt (/ -4 a))))))
#s(approx (sqrt (* a -4)) #s(hole binary64 (* a (sqrt (/ -4 a)))))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) #s(hole binary64 (/ c b)))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) #s(hole binary64 (+ (* -1 (/ b a)) (/ c b))))
#s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) #s(hole binary64 (* -1 (/ c (pow b 2)))))
#s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) #s(hole binary64 (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1/2 (sqrt (* -4 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* -1/2 (sqrt (* -4 (/ c a)))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow b 2) (sqrt (* -4 (/ c a))))) (* 1/16 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3))))) a)) (* 1/2 b)) a)) (* -1/2 (sqrt (* -4 (/ c a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (sqrt (* -4 (/ c a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -4 (/ c a)))))) b) a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -4 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -4 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ c a)))))) a)) b) a)))))))
#s(approx (* (/ (sqrt (* c -4)) (sqrt a)) 1/2) #s(hole binary64 (* -1/2 (/ (sqrt (* -4 c)) (* a (sqrt (/ 1 a)))))))
#s(approx (/ (sqrt (* c -4)) (sqrt a)) #s(hole binary64 (* -1 (/ (sqrt (* -4 c)) (* a (sqrt (/ 1 a)))))))
#s(approx (sqrt a) #s(hole binary64 (* -1 (* a (sqrt (/ 1 a))))))
#s(approx (* (sqrt (* a -4)) (sqrt c)) #s(hole binary64 (* -1 (* a (* (sqrt c) (sqrt (/ -4 a)))))))
#s(approx (sqrt (* a -4)) #s(hole binary64 (* -1 (* a (sqrt (/ -4 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* 1/4 (/ b (* a (sqrt (neg (* 4 (* a c))))))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (sqrt (neg (* 4 (* a c)))) a)) (* b (- (* b (+ (* -1/16 (/ (pow b 2) (* a (pow (sqrt (neg (* 4 (* a c)))) 3)))) (* 1/4 (/ 1 (* a (sqrt (neg (* 4 (* a c))))))))) (* 1/2 (/ 1 a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (sqrt (neg (* 4 (* a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* -1 b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* b (- (* 1/2 (/ b (sqrt (neg (* 4 (* a c)))))) 1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 4 (* a c)))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 4 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 4 (* a c)))))))) 1)))))
#s(approx (- (fabs b) b) #s(hole binary64 (fabs b)))
#s(approx (- (fabs b) b) #s(hole binary64 (+ (fabs b) (* -1 b))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (+ (* -1 (/ c (fabs b))) (* 1/2 (/ (fabs b) a)))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (+ (* -1 (/ c (fabs b))) (+ (* -1/2 (/ b a)) (* 1/2 (/ (fabs b) a))))))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) #s(hole binary64 (/ (+ c (* -1 (/ (pow b 2) a))) b)))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) #s(hole binary64 (/ (+ (* -1 c) (/ (pow b 2) a)) (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (- (fabs b) b) #s(hole binary64 (* b (- (/ (fabs b) b) 1))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* -1/2 (/ b a))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* b (- (+ (* -1 (/ c (* b (fabs b)))) (* 1/2 (/ (fabs b) (* a b)))) (* 1/2 (/ 1 a))))))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (- (fabs b) b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (fabs b) b)))))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ c (fabs b))) (* 1/2 (/ (fabs b) a))) b)) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* -1 (/ c (sqrt (pow b 2)))) (* 1/2 (/ (- (sqrt (pow b 2)) b) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -1 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (/ 1 (sqrt (pow b 2))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* 1/2 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -1 (/ a (pow (sqrt (pow b 2)) 3))))) (/ 1 (sqrt (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* -2 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -2 (/ a (sqrt (pow b 2)))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -2 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx c #s(hole binary64 c))
#s(approx (sqrt (* c -4)) #s(hole binary64 (sqrt (* -4 c))))
#s(approx (* c -4) #s(hole binary64 (* -4 c)))
#s(approx (sqrt c) #s(hole binary64 (sqrt c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* 1/2 (/ (* c (sqrt (* -4 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3))))) (+ (* 1/4 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -4 (/ a c))))))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (sqrt (* -4 (/ a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c))))))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -4 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -4 (/ a c)))))))) (/ b c)))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* c (- (* 1/2 (/ (- (fabs b) b) (* a c))) (/ 1 (fabs b))))))
#s(approx (* (/ (sqrt (* c -4)) (sqrt a)) 1/2) #s(hole binary64 (* 1/2 (/ (* c (sqrt (/ -4 c))) (sqrt a)))))
#s(approx (/ (sqrt (* c -4)) (sqrt a)) #s(hole binary64 (/ (* c (sqrt (/ -4 c))) (sqrt a))))
#s(approx (sqrt (* c -4)) #s(hole binary64 (* c (sqrt (/ -4 c)))))
#s(approx (* (sqrt (* a -4)) (sqrt c)) #s(hole binary64 (* c (* (sqrt (* -4 a)) (sqrt (/ 1 c))))))
#s(approx (sqrt c) #s(hole binary64 (* c (sqrt (/ 1 c)))))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))))
#s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) #s(hole binary64 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1/2 (/ (* c (sqrt (* -4 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (/ (pow b 2) (* a (* c (sqrt (* -4 (/ a c)))))))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3))))) (* 1/4 (/ (pow b 2) (* a (sqrt (* -4 (/ a c))))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (/ (sqrt (* -4 (/ a c))) a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (sqrt (* -4 (/ a c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -4 (/ a c)))))) b) c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -4 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -4 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -4 (/ a c)))))) c)) b) c)))))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) #s(hole binary64 (* -1 (* c (+ (* -1/2 (/ (- (fabs b) b) (* a c))) (/ 1 (fabs b)))))))
#s(approx (* (/ (sqrt (* c -4)) (sqrt a)) 1/2) #s(hole binary64 (* -1/2 (/ (* c (sqrt (/ -4 c))) (sqrt a)))))
#s(approx (/ (sqrt (* c -4)) (sqrt a)) #s(hole binary64 (* -1 (/ (* c (sqrt (/ -4 c))) (sqrt a)))))
#s(approx (sqrt (* c -4)) #s(hole binary64 (* -1 (* c (sqrt (/ -4 c))))))
#s(approx (* (sqrt (* a -4)) (sqrt c)) #s(hole binary64 (* -1 (* c (* (sqrt (* -4 a)) (sqrt (/ 1 c)))))))
#s(approx (sqrt c) #s(hole binary64 (* -1 (* c (sqrt (/ 1 c))))))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b))))))
#s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) #s(hole binary64 (* -1 (* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))))))
Outputs
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)))) (neg.f64 (neg.f64 (+.f64 a a))))
(/.f64 (neg.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b))) (neg.f64 (+.f64 a a)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)) (+.f64 a a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) (fabs.f64 b)) (*.f64 (*.f64 b b) b))) (neg.f64 (fma.f64 b b (fma.f64 b b (*.f64 (fabs.f64 b) b)))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 b b))) (neg.f64 (+.f64 (fabs.f64 b) b)))
(/.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (fabs.f64 b) b))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (fabs.f64 b)) (*.f64 (*.f64 b b) b)) (fma.f64 b b (fma.f64 b b (*.f64 (fabs.f64 b) b))))
(-.f64 (fabs.f64 b) b)
(*.f64 (sqrt.f64 (fabs.f64 b)) (sqrt.f64 (fabs.f64 b)))
(*.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)))
(*.f64 (sqrt.f64 b) (sqrt.f64 b))
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#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (/.f64 b a)) a))
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#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (fabs.f64 b)))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 b) b) a) (/.f64 (neg.f64 c) (fabs.f64 b))))
#s(approx (* (/ (sqrt (* c -4)) (sqrt a)) 1/2) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) a)) #s(literal 1/2 binary64)))
#s(approx (/ (sqrt (* c -4)) (sqrt a)) (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) a)))
#s(approx (sqrt a) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) a))
#s(approx (* (sqrt (* a -4)) (sqrt c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -4 binary64) a) c)) a))
#s(approx (sqrt (* a -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) a)) a))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (/.f64 c b))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)))
#s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) (/.f64 (neg.f64 c) (*.f64 b b)))
#s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) #s(literal -1/4 binary64))) a))) a))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a)) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) #s(literal 1/2 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a)))
#s(approx (* (/ (sqrt (* c -4)) (sqrt a)) 1/2) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) a)) #s(literal -1/2 binary64)))
#s(approx (/ (sqrt (* c -4)) (sqrt a)) (neg.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) a))))
#s(approx (sqrt a) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) a)))
#s(approx (* (sqrt (* a -4)) (sqrt c)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -4 binary64) a) c)) a)))
#s(approx (sqrt (* a -4)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) a)) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a) #s(literal 1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 #s(literal -4 binary64) (*.f64 c a))) a)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a) #s(literal 1/2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (neg.f64 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.f64 (*.f64 (/.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (- (fabs b) b) (fabs.f64 b))
#s(approx (- (fabs b) b) (+.f64 (fabs.f64 b) (neg.f64 b)))
#s(approx b b)
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (+.f64 (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) (/.f64 (neg.f64 c) (fabs.f64 b))))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 b b) a)) c) b))
#s(approx (neg b) (neg.f64 b))
#s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) (/.f64 (+.f64 (/.f64 (*.f64 b b) a) (neg.f64 c)) (*.f64 b b)))
#s(approx (* b b) (*.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))) (neg.f64 c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -2 binary64) (neg.f64 c)) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -2 binary64) (neg.f64 c)) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) a)) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))))) b))
#s(approx (- (fabs b) b) (*.f64 (-.f64 (/.f64 (fabs.f64 b) b) #s(literal 1 binary64)) b))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (*.f64 (-.f64 (fma.f64 (/.f64 (fabs.f64 b) (*.f64 a b)) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (*.f64 (fabs.f64 b) b))) (/.f64 #s(literal 1/2 binary64) a)) b))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (*.f64 (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (*.f64 (neg.f64 b) (+.f64 (+.f64 (neg.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (*.f64 a a) (pow.f64 (/.f64 c (*.f64 b b)) #s(literal 3 binary64))) #s(literal -2 binary64) (+.f64 (+.f64 (neg.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (neg.f64 c) (*.f64 b b))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) (pow.f64 (/.f64 c (*.f64 b b)) #s(literal 3 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 2 binary64))))
#s(approx (- (fabs b) b) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (fabs.f64 b) b)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b))) b)) (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 b) b) a) (/.f64 (neg.f64 c) (fabs.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (fma.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 b b) (fabs.f64 b)))) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) c (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 b) b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (*.f64 (*.f64 b b) (fabs.f64 b))))) c) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) c (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 b) b) a))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a (fabs.f64 b)) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) (fabs.f64 b))))) c (fabs.f64 b)) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) (fabs.f64 b))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) c (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -2 binary64))) (fabs.f64 b)) b))
#s(approx (neg c) (neg.f64 c))
#s(approx c c)
#s(approx (sqrt (* c -4)) (sqrt.f64 (*.f64 #s(literal -4 binary64) c)))
#s(approx (* c -4) (*.f64 #s(literal -4 binary64) c))
#s(approx (sqrt c) (sqrt.f64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) (*.f64 c a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 b))) c))
#s(approx (* (/ (sqrt (* c -4)) (sqrt a)) 1/2) (*.f64 (*.f64 c (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) c) a))) #s(literal 1/2 binary64)))
#s(approx (/ (sqrt (* c -4)) (sqrt a)) (*.f64 c (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) c) a))))
#s(approx (sqrt (* c -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) c)) c))
#s(approx (* (sqrt (* a -4)) (sqrt c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 #s(literal -4 binary64) a))) c))
#s(approx (sqrt c) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 c)) c))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (neg.f64 b) (*.f64 c a))) c))
#s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (*.f64 (neg.f64 c) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 b (*.f64 c a)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 c a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/16 binary64))) c))) c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (+.f64 (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c c) (*.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) #s(literal -1/8 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))))
#s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) (*.f64 c a)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 b)))))
#s(approx (* (/ (sqrt (* c -4)) (sqrt a)) 1/2) (*.f64 (*.f64 c (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) c) a))) #s(literal -1/2 binary64)))
#s(approx (/ (sqrt (* c -4)) (sqrt a)) (neg.f64 (*.f64 c (sqrt.f64 (/.f64 (/.f64 #s(literal -4 binary64) c) a)))))
#s(approx (sqrt (* c -4)) (*.f64 (neg.f64 c) (sqrt.f64 (/.f64 #s(literal -4 binary64) c))))
#s(approx (* (sqrt (* a -4)) (sqrt c)) (*.f64 (neg.f64 c) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 #s(literal -4 binary64) a)))))
#s(approx (sqrt c) (*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (sqrt.f64 c))))
#s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (*.f64 (neg.f64 c) (-.f64 (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1 binary64) b))))
#s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) (*.f64 (neg.f64 c) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 c a)))))

eval39.0ms (0.8%)

Memory
30.6MiB live, 74.6MiB allocated; 11ms collecting garbage
Compiler

Compiled 3 557 to 1 398 computations (60.7% saved)

prune46.0ms (0.9%)

Memory
-3.3MiB live, 48.3MiB allocated; 45ms collecting garbage
Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New2847291
Fresh2810
Picked325
Done145
Total29021311
Accuracy
100.0%
Counts
311 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.6%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
28.3%
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 b)) (+.f64 a a))
16.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a))) (*.f64 #s(literal 2 binary64) a))
16.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))) (*.f64 #s(literal 2 binary64) a))
16.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (sqrt (* a -4)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) a)) a))) (sqrt.f64 c))) (*.f64 #s(literal 2 binary64) a))
27.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (+.f64 a a))
14.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (- (fabs b) b) (fabs.f64 b))) (+.f64 a a))
18.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a))))
34.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
39.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
32.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
16.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) #s(literal 1/2 binary64)))
15.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a)) #s(literal 1/2 binary64)))
32.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) #s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) (/.f64 #s(literal 1 binary64) a))))
16.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
24.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c))))
32.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (+.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 b b) b)) (/.f64 (neg.f64 c) b))))
38.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (*.f64 (sqrt.f64 b) (sqrt.f64 b)))))
14.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
11.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (/.f64 c b)))
32.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))))
Compiler

Compiled 961 to 691 computations (28.1% saved)

regimes56.0ms (1.1%)

Memory
1.3MiB live, 91.9MiB allocated; 17ms collecting garbage
Counts
41 → 5
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (fabs.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) #s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) (/.f64 #s(literal 1 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (- (fabs b) b) (fabs.f64 b))) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (*.f64 (sqrt.f64 b) (sqrt.f64 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (* c (/ (sqrt (* (/ a c) -4)) a)) 1/2) (*.f64 (*.f64 #s(literal -1/2 binary64) c) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 b)) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (sqrt (* a -4)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) a)) a))) (sqrt.f64 c))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (neg c) (neg (/ (* (* c c) a) (* b b)))) b) (+.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 b b) b)) (/.f64 (neg.f64 c) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal -1/2 binary64)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b)))) (/.f64 (neg.f64 c) (fabs.f64 b))) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/2 binary64))) a))
(/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b))))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b))))
Calls

4 calls:

16.0ms
c
15.0ms
a
12.0ms
b
9.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
89.8%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
76.3%3a
85.1%3b
75.6%3c
Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes21.0ms (0.4%)

Memory
-6.8MiB live, 38.1MiB allocated; 7ms collecting garbage
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (fabs.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) #s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) (/.f64 #s(literal 1 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (- (fabs b) b) (fabs.f64 b))) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (*.f64 (sqrt.f64 b) (sqrt.f64 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (* c (/ (sqrt (* (/ a c) -4)) a)) 1/2) (*.f64 (*.f64 #s(literal -1/2 binary64) c) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 b)) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) (fabs.f64 b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (sqrt (* a -4)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) a)) a))) (sqrt.f64 c))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)))) b))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 b)) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

2 calls:

12.0ms
b
7.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
81.6%3b
79.3%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes9.0ms (0.2%)

Memory
18.9MiB live, 18.9MiB allocated; 0ms collecting garbage
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (fabs.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) #s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) (/.f64 #s(literal 1 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (- (fabs b) b) (fabs.f64 b))) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (*.f64 (sqrt.f64 b) (sqrt.f64 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (* c (/ (sqrt (* (/ a c) -4)) a)) 1/2) (*.f64 (*.f64 #s(literal -1/2 binary64) c) (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) #s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 #s(literal -4 binary64) (*.f64 c a))) c))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) a)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
81.3%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes124.0ms (2.5%)

Memory
-53.7MiB live, 33.0MiB allocated; 171ms collecting garbage
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (fabs.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) #s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) (/.f64 #s(literal 1 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (- (fabs b) b) (fabs.f64 b))) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (*.f64 (sqrt.f64 b) (sqrt.f64 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (fabs.f64 b))))
Calls

3 calls:

114.0ms
a
5.0ms
b
5.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
67.6%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
56.8%5a
76.2%3b
Compiler

Compiled 16 to 20 computations (-25% saved)

regimes9.0ms (0.2%)

Memory
20.6MiB live, 20.6MiB allocated; 0ms collecting garbage
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (fabs.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) #s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) (/.f64 #s(literal 1 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (- (fabs b) b) (fabs.f64 b))) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (*.f64 (sqrt.f64 b) (sqrt.f64 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) a)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (fabs.f64 b))))
Calls

2 calls:

4.0ms
c
4.0ms
b
Results
AccuracySegmentsBranch
52.2%4c
75.5%3b
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes10.0ms (0.2%)

Memory
-40.3MiB live, 9.5MiB allocated; 9ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (fabs.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) #s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) (/.f64 #s(literal 1 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (- (fabs b) b) (fabs.f64 b))) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (*.f64 (sqrt.f64 b) (sqrt.f64 b)))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (fabs.f64 b))))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
70.4%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (fabs.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) #s(approx (+ (/ (neg c) (* b b)) (/ 1 a)) (/.f64 #s(literal 1 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (- (fabs b) b) (fabs.f64 b))) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (- (fabs b) b) a) 1/2) (/ (neg c) (fabs b))) (/.f64 (neg.f64 c) (fabs.f64 b))))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
70.2%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
70.2%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (/.f64 c b)))
Calls

4 calls:

1.0ms
c
1.0ms
a
1.0ms
b
1.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
32.9%1c
32.9%1a
32.9%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
41.5%2b
Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes4.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (/.f64 c b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (+ (/ (neg c) (* b b)) (/ 1 a))) (/.f64 c b)))
Calls

4 calls:

1.0ms
a
1.0ms
b
1.0ms
c
1.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
11.3%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
11.3%1a
11.3%1c
11.3%1b
Compiler

Compiled 17 to 23 computations (-35.3% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3053998820698354e+278
5.608105797684125e+307
0.0ms
0.0
6.531188531698018e-260
0.0ms
-1.7421758138245774e-268
0.0
0.0ms
-inf
-3.3586581993680843e+271
Compiler

Compiled 17 to 20 computations (-17.6% saved)

bsearch50.0ms (1%)

Memory
-14.3MiB live, 75.6MiB allocated; 15ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
4.40691278878955e-53
9.934564819132062e-51
20.0ms
-1.6305315395344896e-11
-5.508800331018711e-15
Samples
17.0ms183×0valid
8.0ms21×2valid
5.0ms36×1valid
3.0ms48×0invalid
Compiler

Compiled 618 to 632 computations (-2.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div!: 7.0ms (28.1% of total)
ival-mult!: 6.0ms (24.1% of total)
ival-neg: 6.0ms (24.1% of total)
ival-sqrt: 3.0ms (12.1% of total)
adjust: 2.0ms (8% of total)
ival-sub!: 1.0ms (4% of total)
ival-add!: 1.0ms (4% of total)

bsearch32.0ms (0.6%)

Memory
-10.4MiB live, 38.8MiB allocated; 20ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.40691278878955e-53
9.934564819132062e-51
29.0ms
-3.2164366894379136e-115
-1.9365727797730127e-116
Samples
8.0ms112×0valid
3.0ms38×0invalid
Compiler

Compiled 587 to 601 computations (-2.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult!: 3.0ms (43.7% of total)
ival-sqrt: 1.0ms (14.6% of total)
ival-neg: 1.0ms (14.6% of total)
ival-div!: 1.0ms (14.6% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch74.0ms (1.5%)

Memory
5.4MiB live, 95.7MiB allocated; 13ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
46.0ms
1.496984814451544e-222
1.4984873436265663e-204
20.0ms
-1.1753582285368252e-169
-5.317650966273974e-179
Samples
28.0ms144×0invalid
19.0ms286×0valid
2.0ms18×1valid
Compiler

Compiled 970 to 980 computations (-1% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div!: 21.0ms (55.7% of total)
ival-mult!: 8.0ms (21.2% of total)
ival-sqrt: 3.0ms (8% of total)
ival-neg: 2.0ms (5.3% of total)
adjust: 1.0ms (2.7% of total)
ival-add!: 1.0ms (2.7% of total)
ival-sub!: 1.0ms (2.7% of total)

bsearch45.0ms (0.9%)

Memory
36.6MiB live, 82.4MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
1.4984873436265663e-204
3.196401165340493e-195
14.0ms
-3.2164366894379136e-115
-1.9365727797730127e-116
Samples
17.0ms227×0valid
8.0ms120×0invalid
1.0ms11×1valid
0.0ms2valid
Compiler

Compiled 804 to 813 computations (-1.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult!: 7.0ms (40.3% of total)
ival-sqrt: 5.0ms (28.8% of total)
ival-div!: 2.0ms (11.5% of total)
ival-neg: 2.0ms (11.5% of total)
ival-sub!: 1.0ms (5.8% of total)
ival-add!: 1.0ms (5.8% of total)
adjust: 0.0ms (0% of total)

bsearch28.0ms (0.6%)

Memory
-48.3MiB live, 51.7MiB allocated; 12ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
-1.1753582285368252e-169
-5.317650966273974e-179
Samples
9.0ms76×0invalid
8.0ms128×0valid
Compiler

Compiled 524 to 515 computations (1.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-add!: 4.0ms (33.9% of total)
ival-mult!: 4.0ms (33.9% of total)
ival-sqrt: 1.0ms (8.5% of total)
ival-neg: 1.0ms (8.5% of total)
ival-div!: 1.0ms (8.5% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch26.0ms (0.5%)

Memory
45.8MiB live, 45.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
-1.3567338381181468e-304
1.9796209537881922e-305
Samples
9.0ms144×0valid
6.0ms89×0invalid
Compiler

Compiled 425 to 434 computations (-2.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult!: 4.0ms (43.7% of total)
ival-sqrt: 2.0ms (21.8% of total)
ival-add!: 1.0ms (10.9% of total)
ival-neg: 1.0ms (10.9% of total)
ival-div!: 1.0ms (10.9% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch37.0ms (0.7%)

Memory
-8.1MiB live, 38.4MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
-1.3567338381181468e-304
1.9796209537881922e-305
Samples
8.0ms128×0valid
5.0ms81×0invalid
Compiler

Compiled 326 to 344 computations (-5.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult!: 4.0ms (48.7% of total)
ival-sqrt: 1.0ms (12.2% of total)
ival-neg: 1.0ms (12.2% of total)
ival-div!: 1.0ms (12.2% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch49.0ms (1%)

Memory
8.1MiB live, 54.7MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
45.0ms
1.1952478858166264e-47
3.7670603321752835e-38
Samples
28.0ms49×1valid
6.0ms35×2valid
4.0ms60×0valid
2.0ms32×0invalid
Compiler

Compiled 398 to 398 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-sqrt: 24.0ms (70.6% of total)
ival-mult!: 4.0ms (11.8% of total)
adjust: 2.0ms (5.9% of total)
ival-div!: 2.0ms (5.9% of total)
ival-sub!: 1.0ms (2.9% of total)
ival-add!: 1.0ms (2.9% of total)
ival-neg: 1.0ms (2.9% of total)

derivations382.0ms (7.6%)

Memory
-43.4MiB live, 536.3MiB allocated; 60ms collecting garbage
Stop Event
fuel
Compiler

Compiled 217 to 132 computations (39.2% saved)

preprocess227.0ms (4.5%)

Memory
42.0MiB live, 313.0MiB allocated; 107ms collecting garbage
Compiler

Compiled 261 to 167 computations (36% saved)

end0.0ms (0%)

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

Profiling

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