Cubic critical

Time bar (total: 4.5s)

start0.0ms (0%)

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

analyze192.0ms (4.2%)

Memory
4.6MiB live, 111.7MiB allocated; 93ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
48.3%45.2%48.4%0.1%0%6.2%0%8
53%48.4%42.9%0.1%0%8.6%0%9
58.1%50.3%36.3%0.1%0%13.3%0%10
66.1%56.8%29.1%0.1%0%14%0%11
70.4%58.8%24.7%0.1%0%16.4%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample2.1s (46.3%)

Memory
-235.8MiB live, 1 198.9MiB allocated; 1.6s collecting garbage
Samples
1.1s5 578×0valid
253.0ms1 217×2valid
223.0ms1 252×1valid
59.0ms209×3valid
58.0ms942×0invalid
Precisions
Click to see histograms. Total time spent on operations: 709.0ms
ival-mult!: 239.0ms (33.7% of total)
adjust: 176.0ms (24.8% of total)
ival-sqrt: 104.0ms (14.7% of total)
ival-div!: 73.0ms (10.3% of total)
ival-neg: 48.0ms (6.8% of total)
ival-add!: 40.0ms (5.6% of total)
ival-sub!: 30.0ms (4.2% of total)
Bogosity

preprocess62.0ms (1.4%)

Memory
3.8MiB live, 48.5MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053175
1192168
2638168
32377168
47953168
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶57.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 28 to 24 computations (14.3% saved)

series22.0ms (0.5%)

Memory
27.4MiB live, 27.4MiB allocated; 0ms collecting garbage
Counts
12 → 111
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
a
c
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (- (sqrt (pow b 2)) b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (sqrt (pow b 2)))) (* 1/3 (- (sqrt (pow b 2)) b))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* -3/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (sqrt (pow b 2)) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (sqrt (pow b 2))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3))))))))))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (pow b 2)))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2))))
#s(approx (* (* 3 a) c) #s(hole binary64 (* 3 (* a c))))
#s(approx (* 3 a) #s(hole binary64 (* 3 a)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (sqrt (* -3 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (sqrt (* -3 (/ c a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))) (/ b a)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -3 (* a c))))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 3 c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (sqrt (* -3 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (sqrt (* -3 (/ c a)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (pow b 2) (sqrt (* -3 (/ c a))))) (* 1/24 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (sqrt (* -3 (/ c a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) b) a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ c a)))))) a)) b) a)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (neg (* 3 (* a c))))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (neg (* 3 (* a c)))) 3)))) (* 1/6 (/ 1 (* a (sqrt (neg (* 3 (* a c))))))))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (sqrt (neg (* 3 (* a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* -1 b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* 1/2 (/ b (sqrt (neg (* 3 (* a c)))))) 1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c)))))))) 1)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx b #s(hole binary64 b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* 1/2 (/ (pow b 2) (sqrt (neg (* 3 (* a c)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c)))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 3 (* a c)))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c)))))))))))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (- (pow b 2) (* 3 (* a c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* 1/3 (/ (- (sqrt (pow b 2)) b) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -3/8 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (* 1/2 (/ 1 (sqrt (pow b 2)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ a (pow (sqrt (pow b 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow b 2)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (* c (sqrt (* -3 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3))))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (sqrt (* -3 (/ a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))) (/ b c)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 3 a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (/ (* c (sqrt (* -3 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (/ (pow b 2) (* a (* c (sqrt (* -3 (/ a c)))))))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3))))) (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ a c))))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (sqrt (* -3 (/ a c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -3 (/ a c)))))) b) c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ a c)))))) c)) b) c)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
a
@inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* b b) (* (* 3 a) c) (* 3 a) 3 a c)
3.0ms
b
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* b b) (* (* 3 a) c) (* 3 a) 3 a c)
2.0ms
b
@inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* b b) (* (* 3 a) c) (* 3 a) 3 a c)
2.0ms
a
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* b b) (* (* 3 a) c) (* 3 a) 3 a c)
2.0ms
a
@-inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* b b) (* (* 3 a) c) (* 3 a) 3 a c)

rewrite189.0ms (4.2%)

Memory
17.7MiB live, 162.8MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06194586
06334394
134374270
088573940
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
123 → 236
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
a
c
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (- (sqrt (pow b 2)) b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (sqrt (pow b 2)))) (* 1/3 (- (sqrt (pow b 2)) b))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* -3/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (sqrt (pow b 2)) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (sqrt (pow b 2))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3))))))))))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (pow b 2)))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2))))
#s(approx (* (* 3 a) c) #s(hole binary64 (* 3 (* a c))))
#s(approx (* 3 a) #s(hole binary64 (* 3 a)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (sqrt (* -3 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (sqrt (* -3 (/ c a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))) (/ b a)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -3 (* a c))))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 3 c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (sqrt (* -3 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (sqrt (* -3 (/ c a)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (pow b 2) (sqrt (* -3 (/ c a))))) (* 1/24 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (sqrt (* -3 (/ c a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) b) a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ c a)))))) a)) b) a)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (neg (* 3 (* a c))))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (neg (* 3 (* a c)))) 3)))) (* 1/6 (/ 1 (* a (sqrt (neg (* 3 (* a c))))))))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (sqrt (neg (* 3 (* a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* -1 b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* 1/2 (/ b (sqrt (neg (* 3 (* a c)))))) 1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c)))))))) 1)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx b #s(hole binary64 b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* 1/2 (/ (pow b 2) (sqrt (neg (* 3 (* a c)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c)))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 3 (* a c)))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c)))))))))))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (- (pow b 2) (* 3 (* a c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* 1/3 (/ (- (sqrt (pow b 2)) b) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -3/8 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (* 1/2 (/ 1 (sqrt (pow b 2)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ a (pow (sqrt (pow b 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow b 2)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (* c (sqrt (* -3 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3))))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (sqrt (* -3 (/ a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))) (/ b c)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 3 a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (/ (* c (sqrt (* -3 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (/ (pow b 2) (* a (* c (sqrt (* -3 (/ a c)))))))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3))))) (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ a c))))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (sqrt (* -3 (/ a c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -3 (/ a c)))))) b) c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ a c)))))) c)) b) c)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))))
Outputs
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)))) (neg.f64 (neg.f64 (*.f64 a #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b))) (neg.f64 (*.f64 a #s(literal 3 binary64))))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
(+.f64 (/.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64))) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (*.f64 a #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 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 -3 binary64) a) c (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) (neg.f64 (fma.f64 b b (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))))))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))))
(/.f64 (fma.f64 (*.f64 b b) (neg.f64 b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (fma.f64 b b (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 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 -3 binary64) a) c (*.f64 b b)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b b)))) (sqrt.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 b b))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal 3 binary64)) c))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -27 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 -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 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 27 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 -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal -1/2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (neg.f64 (neg.f64 b)))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (exp.f64 (log.f64 b)))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (neg.f64 (fabs.f64 b)))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (fabs.f64 b))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (neg.f64 b))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b)
(hypot.f64 (neg.f64 (neg.f64 b)) (fabs.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))))
(hypot.f64 (neg.f64 (neg.f64 b)) (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))))
(hypot.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))
(hypot.f64 (exp.f64 (log.f64 b)) (fabs.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))))
(hypot.f64 (exp.f64 (log.f64 b)) (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))))
(hypot.f64 (exp.f64 (log.f64 b)) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (neg.f64 (neg.f64 b)))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (exp.f64 (log.f64 b)))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (neg.f64 (fabs.f64 b)))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (fabs.f64 b))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (neg.f64 b))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) b)
(hypot.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))))
(hypot.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))))
(hypot.f64 (neg.f64 (fabs.f64 b)) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (neg.f64 (neg.f64 b)))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (exp.f64 (log.f64 b)))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (neg.f64 (fabs.f64 b)))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (fabs.f64 b))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (neg.f64 b))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b)
(hypot.f64 (fabs.f64 b) (fabs.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))))
(hypot.f64 (fabs.f64 b) (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))))
(hypot.f64 (fabs.f64 b) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))
(hypot.f64 (neg.f64 b) (fabs.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))))
(hypot.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))))
(hypot.f64 (neg.f64 b) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))
(hypot.f64 b (fabs.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))))
(hypot.f64 b (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))))
(hypot.f64 b (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
(pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b b)))) (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 b b))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (neg.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal 3 binary64)) c))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27 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 -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 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 27 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 -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (fma.f64 b b (*.f64 (*.f64 a #s(literal 3 binary64)) c)))
(/.f64 (fma.f64 #s(literal -27 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 -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal 27 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 -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c)))))
(fma.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (fabs.f64 (sqrt.f64 (*.f64 #s(literal -3 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 3 binary64))) c))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 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 3 binary64))) c))
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (*.f64 b b))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 #s(literal -3 binary64) (*.f64 c a)))
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 c a)) (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 #s(literal -3 binary64) (*.f64 c a)))
(fma.f64 b b (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c))
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 c a)))
(sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c))
(+.f64 (*.f64 b b) (*.f64 #s(literal -3 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))
(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 3 binary64))
(*.f64 (*.f64 a #s(literal 3 binary64)) c)
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(*.f64 a #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
a
c
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)) (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) a (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fabs.f64 b) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c (fabs.f64 b)))) a (fabs.f64 b)) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 a (fma.f64 (fma.f64 #s(literal -27/16 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 -9/8 binary64))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b)) b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fabs.f64 b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c (fabs.f64 b)))) a (fabs.f64 b)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 a (fma.f64 (fma.f64 #s(literal -27/16 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 -9/8 binary64))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b)))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
#s(approx (* (* 3 a) c) (*.f64 (*.f64 a #s(literal 3 binary64)) c))
#s(approx (* 3 a) (*.f64 a #s(literal 3 binary64)))
#s(approx a a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 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 -3 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 b a)) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 -3 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 b a)) a))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))
#s(approx (sqrt (- (* b b) (* (* 3 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 -3 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))
#s(approx (sqrt (- (* b b) (* (* 3 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 -3 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 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 -3 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 -3 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal 3 binary64))) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 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 -3 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal -1/6 binary64))) a))) a))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 -3 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 -3 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (sqrt (- (* b b) (* (* 3 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 -3 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (sqrt (- (* b b) (* (* 3 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 -3 binary64)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 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 -3 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 -3 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (- (* b b) (* (* 3 a) c)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) a)) (*.f64 #s(literal -3 binary64) c)) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (*.f64 #s(literal -3 binary64) (*.f64 c a))) a)) #s(literal -1/24 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (neg.f64 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (-.f64 (*.f64 (/.f64 b (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))))
#s(approx (neg b) (neg.f64 b))
#s(approx b b)
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (*.f64 #s(literal -3 binary64) (*.f64 c a)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))))
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) a)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a)))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64))))) b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64))) b))
#s(approx (sqrt (- (* b b) (* (* 3 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 -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 1 binary64)) b))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 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 -9/16 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64)))))
#s(approx (sqrt (- (* b b) (* (* 3 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 -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 1 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) #s(literal -9/16 binary64) (*.f64 (/.f64 a (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -3/2 binary64))) c (fabs.f64 b)) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 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 -3/2 binary64))) (fabs.f64 b)) b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -3/2 binary64))) c (fabs.f64 b)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 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 -3/2 binary64))) (fabs.f64 b)))
#s(approx c c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 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 -3 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) (/.f64 b c)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 -3 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) (/.f64 b c)) c))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (sqrt (- (* b b) (* (* 3 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 -3 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (sqrt (- (* b b) (* (* 3 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 -3 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 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 -3 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 -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal 3 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 b (*.f64 c a)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 c a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal -1/6 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) #s(literal -1/24 binary64))) c))) c))) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 a c) #s(literal -3 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 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 -3 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) #s(literal -1/8 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.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 -3 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.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 -3 binary64)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 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 -3 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 -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (- (* b b) (* (* 3 a) c)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) c)) (*.f64 #s(literal -3 binary64) a)) c)))

eval29.0ms (0.6%)

Memory
-6.2MiB live, 39.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 3 705 to 1 165 computations (68.6% saved)

prune35.0ms (0.8%)

Memory
-40.8MiB live, 33.7MiB allocated; 17ms collecting garbage
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New20028228
Fresh000
Picked101
Done000
Total20128229
Accuracy
99.4%
Counts
229 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.0%
(/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
57.2%
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
▶57.3%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
57.2%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal -1/2 binary64)))) (*.f64 #s(literal 3 binary64) a))
38.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
37.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
53.1%
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 #s(literal 3 binary64) a))
45.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)) b)) (*.f64 #s(literal 3 binary64) a))
44.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 3 binary64) a))
25.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) (*.f64 #s(literal 3 binary64) a))
▶13.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
16.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
37.8%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
30.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a))
18.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a))) (*.f64 #s(literal 3 binary64) a))
▶66.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
24.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
62.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a))
23.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))) c))
▶30.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64)))
30.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
16.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/3 binary64)))
11.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal -1/3 binary64)))
13.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
36.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
22.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
18.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
▶37.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
Compiler

Compiled 1 112 to 1 070 computations (3.8% saved)

series51.0ms (1.1%)

Memory
12.2MiB live, 57.0MiB allocated; 7ms collecting garbage
Counts
39 → 157
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))
(/.f64 c (fabs.f64 b))
c
(fabs.f64 b)
b
#s(literal -1/2 binary64)
(*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))
(/.f64 (-.f64 (fabs.f64 b) b) a)
(-.f64 (fabs.f64 b) b)
a
#s(literal 1/3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
#s(literal -2/3 binary64)
(/.f64 b a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a)
(sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
#s(literal -3 binary64)
(*.f64 c a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a))
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))
(*.f64 (/.f64 c a) #s(literal -3 binary64))
(/.f64 c a)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(*.f64 #s(literal -3 binary64) a)
(*.f64 b b)
(neg.f64 b)
(*.f64 a #s(literal 3 binary64))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (- (sqrt (pow b 2)) b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (sqrt (pow b 2)))) (* 1/3 (- (sqrt (pow b 2)) b))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* -3/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a)))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* 1/3 (/ (- (fabs b) b) a))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (fabs b))) (* 1/3 (- (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 (* -2/3 (/ b a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (* (/ (sqrt (* -3 (* c a))) a) 1/3) #s(hole binary64 (* 1/3 (/ (sqrt (* -3 (* a c))) a))))
#s(approx (/ (sqrt (* -3 (* c a))) a) #s(hole binary64 (/ (sqrt (* -3 (* a c))) a)))
#s(approx (sqrt (* -3 (* c a))) #s(hole binary64 (sqrt (* -3 (* a c)))))
#s(approx (* -3 (* c a)) #s(hole binary64 (* -3 (* a c))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (sqrt (pow b 2)) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (* (/ c a) -3) #s(hole binary64 (* -3 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (* 3 a) #s(hole binary64 (* 3 a)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (sqrt (pow b 2))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2))))
#s(approx (* -3 a) #s(hole binary64 (* -3 a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (sqrt (* -3 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a)))))))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1/2 (/ c (fabs b)))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (- (fabs b) b) a)))))
#s(approx (/ (sqrt (* -3 (* c a))) a) #s(hole binary64 (sqrt (* -3 (/ c a)))))
#s(approx (sqrt (* -3 (* c a))) #s(hole binary64 (* a (sqrt (* -3 (/ c a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))) (/ b a)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (sqrt (* -3 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (sqrt (* -3 (/ c a)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (pow b 2) (sqrt (* -3 (/ c a))))) (* 1/24 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (/ (sqrt (* -3 (* c a))) a) #s(hole binary64 (* -1 (sqrt (* -3 (/ c a))))))
#s(approx (sqrt (* -3 (* c a))) #s(hole binary64 (* -1 (* a (sqrt (* -3 (/ c a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) b) a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ c a)))))) a)) b) a)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (neg (* 3 (* a c))))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (neg (* 3 (* a c)))) 3)))) (* 1/6 (/ 1 (* a (sqrt (neg (* 3 (* a c))))))))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (fabs b) a)))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (+ (* -1/3 (/ b a)) (* 1/3 (/ (fabs b) a))))))
#s(approx (/ c (fabs b)) #s(hole binary64 (/ c (fabs b))))
#s(approx (fabs b) #s(hole binary64 (fabs b)))
#s(approx b #s(hole binary64 b))
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* 1/3 (/ (fabs b) a))))
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (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) (* -1 b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (sqrt (neg (* 3 (* a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* -1 b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* 1/2 (/ b (sqrt (neg (* 3 (* a c)))))) 1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c)))))))) 1)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (* -3 (* a c))) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (* -3 (* a c))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (* -3 (* a c)))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (* -3 (* a c))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (* -3 (* a c))) 3)))) (* 1/6 (/ 1 (* a (sqrt (* -3 (* a c)))))))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* -1 b))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* b (- (* 1/2 (/ b (sqrt (* -3 (* a c))))) 1)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -3 (* a c))))))) 1)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (* a c))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -3 (* a c))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 5))) (* 1/8 (/ 1 (pow (sqrt (* -3 (* a c))) 3))))) (* 1/2 (/ 1 (sqrt (* -3 (* a c))))))))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1/3 (/ b a))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* b (- (+ (* -1/2 (/ c (* b (fabs b)))) (* 1/3 (/ (fabs b) (* a b)))) (* 1/3 (/ 1 a))))))
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* b (- (* 1/3 (/ (fabs b) (* a b))) (* 1/3 (/ 1 a))))))
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* -1 (/ b 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) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (fabs b) a))) b)) (* 1/3 (/ 1 a)))))))
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* -1 (* b (+ (* -1/3 (/ (fabs b) (* a b))) (* 1/3 (/ 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 b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* 1/3 (/ (- (sqrt (pow b 2)) b) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -3/8 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (* 1/2 (/ 1 (sqrt (pow b 2)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ a (pow (sqrt (pow b 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow b 2)))))))))
#s(approx c #s(hole binary64 c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (* c (sqrt (* -3 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3))))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* c (- (* 1/3 (/ (- (fabs b) b) (* a c))) (* 1/2 (/ 1 (fabs b)))))))
#s(approx (/ (sqrt (* -3 (* c a))) a) #s(hole binary64 (/ (* c (sqrt (* -3 (/ a c)))) a)))
#s(approx (sqrt (* -3 (* c a))) #s(hole binary64 (* c (sqrt (* -3 (/ a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))) (/ b c)))))
#s(approx (* (sqrt (* (/ c a) -3)) a) #s(hole binary64 (* a (* c (sqrt (/ -3 (* a c)))))))
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* c (sqrt (/ -3 (* a c))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (/ (* c (sqrt (* -3 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (/ (pow b 2) (* a (* c (sqrt (* -3 (/ a c)))))))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3))))) (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ a c))))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1 (* c (+ (* -1/3 (/ (- (fabs b) b) (* a c))) (* 1/2 (/ 1 (fabs b))))))))
#s(approx (/ (sqrt (* -3 (* c a))) a) #s(hole binary64 (* -1 (/ (* c (sqrt (* -3 (/ a c)))) a))))
#s(approx (sqrt (* -3 (* c a))) #s(hole binary64 (* -1 (* c (sqrt (* -3 (/ a c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -3 (/ a c)))))) b) c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ a c)))))) c)) b) c)))))))
#s(approx (* (sqrt (* (/ c a) -3)) a) #s(hole binary64 (* -1 (* a (* c (sqrt (/ -3 (* a c))))))))
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* -1 (* c (sqrt (/ -3 (* a c)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
b
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (/ c (fabs b)) c (fabs b) b -1/2 (* (/ (- (fabs b) b) a) 1/3) (/ (- (fabs b) b) a) (- (fabs b) b) a 1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ (sqrt (* -3 (* c a))) a) 1/3) (/ (sqrt (* -3 (* c a))) a) (sqrt (* -3 (* c a))) (* -3 (* c a)) -3 (* c a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (sqrt (* (/ c a) -3)) a) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) (* 3 a) 3 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) (* b b) (neg b) (* a 3))
9.0ms
c
@-inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (/ c (fabs b)) c (fabs b) b -1/2 (* (/ (- (fabs b) b) a) 1/3) (/ (- (fabs b) b) a) (- (fabs b) b) a 1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ (sqrt (* -3 (* c a))) a) 1/3) (/ (sqrt (* -3 (* c a))) a) (sqrt (* -3 (* c a))) (* -3 (* c a)) -3 (* c a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (sqrt (* (/ c a) -3)) a) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) (* 3 a) 3 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) (* b b) (neg b) (* a 3))
6.0ms
a
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (/ c (fabs b)) c (fabs b) b -1/2 (* (/ (- (fabs b) b) a) 1/3) (/ (- (fabs b) b) a) (- (fabs b) b) a 1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ (sqrt (* -3 (* c a))) a) 1/3) (/ (sqrt (* -3 (* c a))) a) (sqrt (* -3 (* c a))) (* -3 (* c a)) -3 (* c a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (sqrt (* (/ c a) -3)) a) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) (* 3 a) 3 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) (* b b) (neg b) (* a 3))
6.0ms
a
@-inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (/ c (fabs b)) c (fabs b) b -1/2 (* (/ (- (fabs b) b) a) 1/3) (/ (- (fabs b) b) a) (- (fabs b) b) a 1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ (sqrt (* -3 (* c a))) a) 1/3) (/ (sqrt (* -3 (* c a))) a) (sqrt (* -3 (* c a))) (* -3 (* c a)) -3 (* c a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (sqrt (* (/ c a) -3)) a) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) (* 3 a) 3 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) (* b b) (neg b) (* a 3))
4.0ms
a
@inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (/ c (fabs b)) c (fabs b) b -1/2 (* (/ (- (fabs b) b) a) 1/3) (/ (- (fabs b) b) a) (- (fabs b) b) a 1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ (sqrt (* -3 (* c a))) a) 1/3) (/ (sqrt (* -3 (* c a))) a) (sqrt (* -3 (* c a))) (* -3 (* c a)) -3 (* c a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (sqrt (* (/ c a) -3)) a) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) (* 3 a) 3 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) (* b b) (neg b) (* a 3))

rewrite180.0ms (4%)

Memory
2.9MiB live, 143.9MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08105769
08525457
145375457
081845318
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
196 → 320
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))
(/.f64 c (fabs.f64 b))
c
(fabs.f64 b)
b
#s(literal -1/2 binary64)
(*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))
(/.f64 (-.f64 (fabs.f64 b) b) a)
(-.f64 (fabs.f64 b) b)
a
#s(literal 1/3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
#s(literal -2/3 binary64)
(/.f64 b a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a)
(sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
#s(literal -3 binary64)
(*.f64 c a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a))
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))
(*.f64 (/.f64 c a) #s(literal -3 binary64))
(/.f64 c a)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(*.f64 #s(literal -3 binary64) a)
(*.f64 b b)
(neg.f64 b)
(*.f64 a #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (- (sqrt (pow b 2)) b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (sqrt (pow b 2)))) (* 1/3 (- (sqrt (pow b 2)) b))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* -3/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a)))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* 1/3 (/ (- (fabs b) b) a))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (fabs b))) (* 1/3 (- (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 (* -2/3 (/ b a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (* (/ (sqrt (* -3 (* c a))) a) 1/3) #s(hole binary64 (* 1/3 (/ (sqrt (* -3 (* a c))) a))))
#s(approx (/ (sqrt (* -3 (* c a))) a) #s(hole binary64 (/ (sqrt (* -3 (* a c))) a)))
#s(approx (sqrt (* -3 (* c a))) #s(hole binary64 (sqrt (* -3 (* a c)))))
#s(approx (* -3 (* c a)) #s(hole binary64 (* -3 (* a c))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (sqrt (pow b 2)) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (* (/ c a) -3) #s(hole binary64 (* -3 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (* 3 a) #s(hole binary64 (* 3 a)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (sqrt (pow b 2))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2))))
#s(approx (* -3 a) #s(hole binary64 (* -3 a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (sqrt (* -3 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a)))))))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1/2 (/ c (fabs b)))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (- (fabs b) b) a)))))
#s(approx (/ (sqrt (* -3 (* c a))) a) #s(hole binary64 (sqrt (* -3 (/ c a)))))
#s(approx (sqrt (* -3 (* c a))) #s(hole binary64 (* a (sqrt (* -3 (/ c a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))) (/ b a)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (sqrt (* -3 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (sqrt (* -3 (/ c a)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (pow b 2) (sqrt (* -3 (/ c a))))) (* 1/24 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (/ (sqrt (* -3 (* c a))) a) #s(hole binary64 (* -1 (sqrt (* -3 (/ c a))))))
#s(approx (sqrt (* -3 (* c a))) #s(hole binary64 (* -1 (* a (sqrt (* -3 (/ c a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) b) a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ c a)))))) a)) b) a)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (neg (* 3 (* a c))))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (neg (* 3 (* a c)))) 3)))) (* 1/6 (/ 1 (* a (sqrt (neg (* 3 (* a c))))))))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (fabs b) a)))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (+ (* -1/3 (/ b a)) (* 1/3 (/ (fabs b) a))))))
#s(approx (/ c (fabs b)) #s(hole binary64 (/ c (fabs b))))
#s(approx (fabs b) #s(hole binary64 (fabs b)))
#s(approx b #s(hole binary64 b))
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* 1/3 (/ (fabs b) a))))
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (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) (* -1 b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (sqrt (neg (* 3 (* a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* -1 b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* 1/2 (/ b (sqrt (neg (* 3 (* a c)))))) 1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c)))))))) 1)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (* -3 (* a c))) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (* -3 (* a c))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (* -3 (* a c)))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (* -3 (* a c))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (* -3 (* a c))) 3)))) (* 1/6 (/ 1 (* a (sqrt (* -3 (* a c)))))))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* -1 b))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* b (- (* 1/2 (/ b (sqrt (* -3 (* a c))))) 1)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -3 (* a c))))))) 1)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (* a c))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -3 (* a c))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 5))) (* 1/8 (/ 1 (pow (sqrt (* -3 (* a c))) 3))))) (* 1/2 (/ 1 (sqrt (* -3 (* a c))))))))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1/3 (/ b a))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* b (- (+ (* -1/2 (/ c (* b (fabs b)))) (* 1/3 (/ (fabs b) (* a b)))) (* 1/3 (/ 1 a))))))
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* b (- (* 1/3 (/ (fabs b) (* a b))) (* 1/3 (/ 1 a))))))
#s(approx (/ (- (fabs b) b) a) #s(hole binary64 (* -1 (/ b 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) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (fabs b) a))) b)) (* 1/3 (/ 1 a)))))))
#s(approx (* (/ (- (fabs b) b) a) 1/3) #s(hole binary64 (* -1 (* b (+ (* -1/3 (/ (fabs b) (* a b))) (* 1/3 (/ 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 b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* 1/3 (/ (- (sqrt (pow b 2)) b) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -3/8 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (* 1/2 (/ 1 (sqrt (pow b 2)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ a (pow (sqrt (pow b 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow b 2)))))))))
#s(approx c #s(hole binary64 c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (* c (sqrt (* -3 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3))))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* c (- (* 1/3 (/ (- (fabs b) b) (* a c))) (* 1/2 (/ 1 (fabs b)))))))
#s(approx (/ (sqrt (* -3 (* c a))) a) #s(hole binary64 (/ (* c (sqrt (* -3 (/ a c)))) a)))
#s(approx (sqrt (* -3 (* c a))) #s(hole binary64 (* c (sqrt (* -3 (/ a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))) (/ b c)))))
#s(approx (* (sqrt (* (/ c a) -3)) a) #s(hole binary64 (* a (* c (sqrt (/ -3 (* a c)))))))
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* c (sqrt (/ -3 (* a c))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (/ (* c (sqrt (* -3 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (/ (pow b 2) (* a (* c (sqrt (* -3 (/ a c)))))))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3))))) (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ a c))))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (* -1 (* c (+ (* -1/3 (/ (- (fabs b) b) (* a c))) (* 1/2 (/ 1 (fabs b))))))))
#s(approx (/ (sqrt (* -3 (* c a))) a) #s(hole binary64 (* -1 (/ (* c (sqrt (* -3 (/ a c)))) a))))
#s(approx (sqrt (* -3 (* c a))) #s(hole binary64 (* -1 (* c (sqrt (* -3 (/ a c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -3 (/ a c)))))) b) c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ a c)))))) c)) b) c)))))))
#s(approx (* (sqrt (* (/ c a) -3)) a) #s(hole binary64 (* -1 (* a (* c (sqrt (/ -3 (* a c))))))))
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* -1 (* c (sqrt (/ -3 (* a c)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))) (-.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (fabs.f64 b) (*.f64 b b))) (*.f64 (pow.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))) (*.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))))
(fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (fabs.f64 b) b) a) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 c (fabs.f64 b)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))
(-.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (/.f64 (-.f64 (fabs.f64 b) b) a)) #s(literal 1/3 binary64)))
(-.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (fabs.f64 b) b) a)))
(+.f64 (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 c) (neg.f64 (fabs.f64 b)))
(/.f64 c (fabs.f64 b))
c
(*.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 (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
#s(literal -1/2 binary64)
(*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (fabs.f64 b) b) a))
(/.f64 (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64)) 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 (-.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (fabs.f64 b) b))
(/.f64 (-.f64 (*.f64 (fabs.f64 b) (*.f64 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)
a
#s(literal 1/3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(/.f64 (*.f64 #s(literal -2/3 binary64) b) a)
#s(literal -2/3 binary64)
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 b a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a))
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) a)
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)) a)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 a))
(/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a)
(*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 a))
(*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (neg.f64 (*.f64 c a))))
(*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 #s(literal -3 binary64) a)))
(*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) c) #s(literal 1/2 binary64)) (pow.f64 a #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal 1/2 binary64)) (pow.f64 c #s(literal 1/2 binary64)))
(*.f64 (pow.f64 c #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 c a)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))
(sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) c) a)
(*.f64 (*.f64 #s(literal -3 binary64) a) c)
(*.f64 (*.f64 c a) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
(*.f64 c (*.f64 #s(literal -3 binary64) a))
(*.f64 #s(literal 3 binary64) (neg.f64 (*.f64 c a)))
(neg.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))))
#s(literal -3 binary64)
(*.f64 c a)
(*.f64 a c)
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) #s(literal 3 binary64)) a)
(/.f64 (neg.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a))) (neg.f64 (*.f64 a #s(literal 3 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 a #s(literal 3 binary64)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a))
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)
(*.f64 a (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)))
(pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 a))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 c a) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (/.f64 c a))
(/.f64 (*.f64 #s(literal -3 binary64) c) a)
(/.f64 (neg.f64 c) (neg.f64 a))
(/.f64 c a)
(*.f64 a #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b))) (neg.f64 (*.f64 a #s(literal 3 binary64))))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64))))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (*.f64 (*.f64 b b) (neg.f64 b))) (+.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) (*.f64 (*.f64 b b) (*.f64 b b)))) (sqrt.f64 (-.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -27 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 -3 binary64)) (*.f64 (*.f64 c a) #s(literal -3 binary64)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal -1/2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)))
(/.f64 (fma.f64 #s(literal -27 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 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (*.f64 c a) #s(literal -3 binary64)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)))))
(fma.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 c a)) (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(-.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (neg.f64 b) b))
(+.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) a)
(*.f64 a #s(literal -3 binary64))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.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))
(sqrt.f64 (*.f64 (*.f64 b b) (*.f64 b b)))
(fabs.f64 (*.f64 b (neg.f64 b)))
(fabs.f64 (*.f64 (neg.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 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
(*.f64 a #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (fabs.f64 b))) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 (fabs.f64 b) (*.f64 b b)))) a (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)) (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) a (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (fabs.f64 b))) a))
#s(approx (/ (- (fabs b) b) a) (/.f64 (-.f64 (fabs.f64 b) b) a))
#s(approx a a)
#s(approx (* -2/3 (/ b a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ b a) (/.f64 b a))
#s(approx (* (/ (sqrt (* -3 (* c a))) a) 1/3) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (/ (sqrt (* -3 (* c a))) a) (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a))
#s(approx (sqrt (* -3 (* c a))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))
#s(approx (* -3 (* c a)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
#s(approx (* c a) (*.f64 c a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fabs.f64 b) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c (fabs.f64 b)))) a (fabs.f64 b)) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 a (fma.f64 (fma.f64 #s(literal -27/16 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 -9/8 binary64))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b)) b))
#s(approx (* (/ c a) -3) (*.f64 (/.f64 c a) #s(literal -3 binary64)))
#s(approx (/ c a) (/.f64 c a))
#s(approx (* 3 a) (*.f64 a #s(literal 3 binary64)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fabs.f64 b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (fabs.f64 b) (*.f64 b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c (fabs.f64 b)))) a (fabs.f64 b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 a (fma.f64 (fma.f64 #s(literal -27/16 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 -9/8 binary64))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c (fabs.f64 b)))) (fabs.f64 b)))
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 b b))
#s(approx (+ (* (* -3 a) c) (* b b)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
#s(approx (* -3 a) (*.f64 #s(literal -3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (sqrt (* -3 (* c a))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))
#s(approx (sqrt (* -3 (* c a))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 b a)) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 b a)) a))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (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 -3 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 -3 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) b)) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 a a))) #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal -1/6 binary64))) a))) a))))
#s(approx (/ (sqrt (* -3 (* c a))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (sqrt (* -3 (* c a))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 -3 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 a a))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (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 -3 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 -3 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (+ (* (* -3 a) c) (* b b)) (neg.f64 (*.f64 (fma.f64 c #s(literal 3 binary64) (neg.f64 (/.f64 (*.f64 b b) a))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) a)) #s(literal -1/24 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))))
#s(approx (/ c (fabs b)) (/.f64 c (fabs.f64 b)))
#s(approx (fabs b) (fabs.f64 b))
#s(approx b b)
#s(approx (* (/ (- (fabs b) b) a) 1/3) (*.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64)))
#s(approx (* (/ (- (fabs b) b) a) 1/3) (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (- (fabs b) b) a) (/.f64 (fabs.f64 b) a))
#s(approx (/ (- (fabs b) b) a) (+.f64 (/.f64 (fabs.f64 b) a) (/.f64 (neg.f64 b) a)))
#s(approx (- (fabs b) b) (+.f64 (fabs.f64 b) (neg.f64 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) (neg.f64 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (-.f64 (*.f64 (/.f64 b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* a 3)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) a)) #s(literal -1/24 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) (neg.f64 b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (/.f64 b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal -3/2 binary64)))) (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))
#s(approx (neg b) (neg.f64 b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) a)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (-.f64 (fma.f64 (/.f64 (fabs.f64 b) (*.f64 a b)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (*.f64 (fabs.f64 b) b)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/3 binary64) a)) b))
#s(approx (* (/ (- (fabs b) b) a) 1/3) (*.f64 (-.f64 (*.f64 (/.f64 (fabs.f64 b) (*.f64 a b)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) a)) b))
#s(approx (/ (- (fabs b) b) a) (/.f64 (neg.f64 b) a))
#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) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a)))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) #s(literal -9/8 binary64))))) b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64))) b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.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 -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 1 binary64)) b))
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 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 -9/16 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a))))
#s(approx (* (/ (- (fabs b) b) a) 1/3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (fabs.f64 b) (*.f64 a b)) #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 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 b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.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 -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 1 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 c a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) #s(literal -9/16 binary64) (*.f64 (/.f64 a (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
#s(approx c c)
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -3/2 binary64))) c (fabs.f64 b)) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 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 -3/2 binary64))) (fabs.f64 b)) b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -3/2 binary64))) c (fabs.f64 b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (fabs.f64 b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 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 -3/2 binary64))) (fabs.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 c c))) (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))) c))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) (*.f64 c a)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c))
#s(approx (/ (sqrt (* -3 (* c a))) a) (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a))
#s(approx (sqrt (* -3 (* c a))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) (/.f64 b c)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) (/.f64 b c)) c))
#s(approx (* (sqrt (* (/ c a) -3)) a) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c) a))
#s(approx (sqrt (* (/ c a) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #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 -3 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 -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 b (*.f64 c a)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) c))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 c c)) a)) #s(literal -1/24 binary64))) c))) c))) c)))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) (*.f64 c a)) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c)))
#s(approx (/ (sqrt (* -3 (* c a))) a) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a)))
#s(approx (sqrt (* -3 (* c a))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 a c) #s(literal -3 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 c c))) #s(literal -1/8 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (* (sqrt (* (/ c a) -3)) a) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c) a)))
#s(approx (sqrt (* (/ c a) -3)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #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 -3 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 -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (* (* -3 a) c) (* b b)) (neg.f64 (*.f64 (fma.f64 a #s(literal 3 binary64) (neg.f64 (/.f64 (*.f64 b b) c))) c)))

eval35.0ms (0.8%)

Memory
3.5MiB live, 48.3MiB allocated; 7ms collecting garbage
Compiler

Compiled 4 200 to 1 551 computations (63.1% saved)

prune30.0ms (0.7%)

Memory
-8.5MiB live, 37.4MiB allocated; 5ms collecting garbage
Pruning

33 alts after pruning (29 fresh and 4 done)

PrunedKeptTotal
New26914283
Fresh81523
Picked145
Done000
Total27833311
Accuracy
99.5%
Counts
311 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.0%
(/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
57.3%
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
✓57.3%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
38.1%
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
37.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
53.1%
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 #s(literal 3 binary64) a))
45.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)) b)) (*.f64 #s(literal 3 binary64) a))
44.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 3 binary64) a))
14.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 a)) a)) (*.f64 #s(literal 3 binary64) a))
25.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) (*.f64 #s(literal 3 binary64) a))
✓13.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
▶16.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
30.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (sqrt (* (/ c a) -3)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c))) a)) (*.f64 #s(literal 3 binary64) a))
37.8%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
30.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
18.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a))) (*.f64 #s(literal 3 binary64) a))
✓66.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
▶24.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
▶59.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (fabs.f64 b))) a))
30.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)) a))
37.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
23.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))) c))
16.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a) #s(literal 1/3 binary64)))
20.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c)) a) #s(literal 1/3 binary64)))
30.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) a) #s(literal 1/3 binary64)))
29.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/2 binary64))) a) #s(literal 1/3 binary64)))
30.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
▶13.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
22.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
18.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
✓37.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
31.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
▶18.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
Compiler

Compiled 1 297 to 1 246 computations (3.9% saved)

series61.0ms (1.4%)

Memory
-25.4MiB live, 74.6MiB allocated; 16ms collecting garbage
Counts
41 → 143
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (fabs.f64 b))) a))
(/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (fabs.f64 b))) a)
(fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (fabs.f64 b)))
(-.f64 (fabs.f64 b) b)
(fabs.f64 b)
b
#s(literal 1/3 binary64)
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (fabs.f64 b))
(*.f64 #s(literal -1/2 binary64) (*.f64 c a))
#s(literal -1/2 binary64)
(*.f64 c a)
c
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))
(*.f64 #s(literal -1/3 binary64) (/.f64 b a))
#s(literal -1/3 binary64)
(/.f64 b a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))
(*.f64 (/.f64 c a) #s(literal -3 binary64))
(/.f64 c a)
#s(literal -3 binary64)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))
(*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))
(*.f64 (/.f64 a c) #s(literal -3 binary64))
(/.f64 a c)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))
(*.f64 (*.f64 c c) a)
(*.f64 c c)
(*.f64 b b)
#s(literal -3/8 binary64)
(*.f64 #s(literal -1/2 binary64) c)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (- (sqrt (pow b 2)) b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (sqrt (pow b 2)))) (* 1/3 (- (sqrt (pow b 2)) b))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* -3/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a)))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) #s(hole binary64 (* 1/3 (/ (- (fabs b) b) a))))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (fabs b))) (* 1/3 (- (fabs b) b))) a)))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (* 1/3 (- (fabs b) b))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (+ (* -1/2 (/ (* a c) (fabs b))) (* 1/3 (- (fabs b) b)))))
#s(approx (/ (* -1/2 (* c a)) (fabs b)) #s(hole binary64 (* -1/2 (/ (* a c) (fabs b)))))
#s(approx (* -1/2 (* c a)) #s(hole binary64 (* -1/2 (* a c))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#s(approx (* -1/3 (/ b a)) #s(hole binary64 (* -1/3 (/ b a))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (* (sqrt (* (/ c a) -3)) 1/3) #s(hole binary64 (* 1/3 (/ (sqrt (* -3 (* a c))) a))))
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (/ (sqrt (* -3 (* a c))) a)))
#s(approx (* (/ c a) -3) #s(hole binary64 (* -3 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (sqrt (pow b 2)) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (* (sqrt (* (/ a c) -3)) c) #s(hole binary64 (* c (sqrt (* -3 (/ a c))))))
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (sqrt (* -3 (/ a c)))))
#s(approx (* (/ a c) -3) #s(hole binary64 (* -3 (/ a c))))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx (* 3 a) #s(hole binary64 (* 3 a)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1/2 c)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (+ (* -1/2 c) (* -3/8 (/ (* 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) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (sqrt (* -3 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a)))))))))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) #s(hole binary64 (* -1/2 (/ c (fabs b)))))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (- (fabs b) b) a)))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (* a (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (- (fabs b) b) a))))))
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (sqrt (* -3 (/ c a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (sqrt (* -3 (/ c a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))) (/ b a)))))
#s(approx (* (sqrt (* (/ a c) -3)) c) #s(hole binary64 (* a (* c (sqrt (/ -3 (* a c)))))))
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (* a (sqrt (/ -3 (* a c))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (sqrt (* -3 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (sqrt (* -3 (/ c a)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (pow b 2) (sqrt (* -3 (/ c a))))) (* 1/24 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (* -1 (* a (+ (* -1/3 (/ (- (fabs b) b) a)) (* 1/2 (/ c (fabs b))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (sqrt (* -3 (/ c a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) b) a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ c a)))))) a)) b) a)))))))
#s(approx (* (sqrt (* (/ a c) -3)) c) #s(hole binary64 (* -1 (* a (* c (sqrt (/ -3 (* a c))))))))
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (* -1 (* a (sqrt (/ -3 (* a c)))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (neg (* 3 (* a c))))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (neg (* 3 (* a c)))) 3)))) (* 1/6 (/ 1 (* a (sqrt (neg (* 3 (* a c))))))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (fabs b))) (* 1/3 (fabs b))) a)))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (+ (* -1/3 (/ b a)) (* 1/3 (/ (fabs b) a))))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (+ (* -1/2 (/ (* a c) (fabs b))) (* 1/3 (fabs b)))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (+ (* -1/2 (/ (* a c) (fabs b))) (+ (* -1/3 b) (* 1/3 (fabs b))))))
#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 (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (fabs b) a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (sqrt (neg (* 3 (* a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* -1 b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* 1/2 (/ b (sqrt (neg (* 3 (* a c)))))) 1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c)))))))) 1)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) #s(hole binary64 (* b (- (+ (* -1/2 (/ c (* b (fabs b)))) (* 1/3 (/ (fabs b) (* a b)))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (* -1/3 b)))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (* b (- (+ (* -1/2 (/ (* a c) (* b (fabs b)))) (* 1/3 (/ (fabs b) b))) 1/3))))
#s(approx (- (fabs b) b) #s(hole binary64 (* -1 b)))
#s(approx (- (fabs b) b) #s(hole binary64 (* b (- (/ (fabs b) b) 1))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (fabs b) a))) b)) (* 1/3 (/ 1 a)))))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (* -1 (* b (+ 1/3 (* -1 (/ (+ (* -1/2 (/ (* a c) (fabs b))) (* 1/3 (fabs b))) b)))))))
#s(approx (- (fabs b) b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (fabs b) b)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* 1/3 (/ (- (sqrt (pow b 2)) b) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -3/8 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (* 1/2 (/ 1 (sqrt (pow b 2)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ a (pow (sqrt (pow b 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow b 2)))))))))
#s(approx c #s(hole binary64 c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (* (sqrt (* (/ a c) -3)) c) #s(hole binary64 (sqrt (* -3 (* a c)))))
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (/ (sqrt (* -3 (* a c))) c)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (* c (sqrt (* -3 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3))))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) #s(hole binary64 (* c (- (* 1/3 (/ (- (fabs b) b) (* a c))) (* 1/2 (/ 1 (fabs b)))))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (* c (+ (* -1/2 (/ a (fabs b))) (* 1/3 (/ (- (fabs b) b) c))))))
#s(approx (* (sqrt (* (/ c a) -3)) 1/3) #s(hole binary64 (* 1/3 (* c (sqrt (/ -3 (* a c)))))))
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* c (sqrt (/ -3 (* a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))) (/ b c)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (/ (* c (sqrt (* -3 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (/ (pow b 2) (* a (* c (sqrt (* -3 (/ a c)))))))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3))))) (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ a c))))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) #s(hole binary64 (* -1 (* c (+ (* -1/3 (/ (- (fabs b) b) (* a c))) (* 1/2 (/ 1 (fabs b))))))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (* -1 (* c (+ (* -1/3 (/ (- (fabs b) b) c)) (* 1/2 (/ a (fabs b))))))))
#s(approx (* (sqrt (* (/ c a) -3)) 1/3) #s(hole binary64 (* -1/3 (* c (sqrt (/ -3 (* a c)))))))
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* -1 (* c (sqrt (/ -3 (* a c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (sqrt (* -3 (/ a c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -3 (/ a c)))))) b) c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ a c)))))) c)) b) c)))))))
Calls

9 calls:

TimeVariablePointExpression
12.0ms
a
@-inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) (- (fabs b) b) (fabs b) b 1/3 (/ (* -1/2 (* c a)) (fabs b)) (* -1/2 (* c a)) -1/2 (* c a) c a (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (* -1/3 (/ b a)) -1/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) 1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (sqrt (* (/ a c) -3)) c) (sqrt (* (/ a c) -3)) (* (/ a c) -3) (/ a c) (* 3 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) (* b b) -3/8 (* -1/2 c))
6.0ms
a
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) (- (fabs b) b) (fabs b) b 1/3 (/ (* -1/2 (* c a)) (fabs b)) (* -1/2 (* c a)) -1/2 (* c a) c a (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (* -1/3 (/ b a)) -1/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) 1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (sqrt (* (/ a c) -3)) c) (sqrt (* (/ a c) -3)) (* (/ a c) -3) (/ a c) (* 3 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) (* b b) -3/8 (* -1/2 c))
6.0ms
c
@-inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) (- (fabs b) b) (fabs b) b 1/3 (/ (* -1/2 (* c a)) (fabs b)) (* -1/2 (* c a)) -1/2 (* c a) c a (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (* -1/3 (/ b a)) -1/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) 1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (sqrt (* (/ a c) -3)) c) (sqrt (* (/ a c) -3)) (* (/ a c) -3) (/ a c) (* 3 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) (* b b) -3/8 (* -1/2 c))
5.0ms
a
@inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) (- (fabs b) b) (fabs b) b 1/3 (/ (* -1/2 (* c a)) (fabs b)) (* -1/2 (* c a)) -1/2 (* c a) c a (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (* -1/3 (/ b a)) -1/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) 1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (sqrt (* (/ a c) -3)) c) (sqrt (* (/ a c) -3)) (* (/ a c) -3) (/ a c) (* 3 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) (* b b) -3/8 (* -1/2 c))
5.0ms
c
@inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) (- (fabs b) b) (fabs b) b 1/3 (/ (* -1/2 (* c a)) (fabs b)) (* -1/2 (* c a)) -1/2 (* c a) c a (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (* -1/3 (/ b a)) -1/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) 1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (sqrt (* (/ a c) -3)) c) (sqrt (* (/ a c) -3)) (* (/ a c) -3) (/ a c) (* 3 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) (* b b) -3/8 (* -1/2 c))

rewrite178.0ms (3.9%)

Memory
55.8MiB live, 143.1MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07775033
08204805
142244797
092924695
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
184 → 349
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (fabs.f64 b))) a))
(/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (fabs.f64 b))) a)
(fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (fabs.f64 b)))
(-.f64 (fabs.f64 b) b)
(fabs.f64 b)
b
#s(literal 1/3 binary64)
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (fabs.f64 b))
(*.f64 #s(literal -1/2 binary64) (*.f64 c a))
#s(literal -1/2 binary64)
(*.f64 c a)
c
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))
(*.f64 #s(literal -1/3 binary64) (/.f64 b a))
#s(literal -1/3 binary64)
(/.f64 b a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))
(*.f64 (/.f64 c a) #s(literal -3 binary64))
(/.f64 c a)
#s(literal -3 binary64)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))
(*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))
(*.f64 (/.f64 a c) #s(literal -3 binary64))
(/.f64 a c)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))
(*.f64 (*.f64 c c) a)
(*.f64 c c)
(*.f64 b b)
#s(literal -3/8 binary64)
(*.f64 #s(literal -1/2 binary64) c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (- (sqrt (pow b 2)) b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (sqrt (pow b 2)))) (* 1/3 (- (sqrt (pow b 2)) b))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* -3/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a)))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) #s(hole binary64 (* 1/3 (/ (- (fabs b) b) a))))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (fabs b))) (* 1/3 (- (fabs b) b))) a)))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (* 1/3 (- (fabs b) b))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (+ (* -1/2 (/ (* a c) (fabs b))) (* 1/3 (- (fabs b) b)))))
#s(approx (/ (* -1/2 (* c a)) (fabs b)) #s(hole binary64 (* -1/2 (/ (* a c) (fabs b)))))
#s(approx (* -1/2 (* c a)) #s(hole binary64 (* -1/2 (* a c))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#s(approx (* -1/3 (/ b a)) #s(hole binary64 (* -1/3 (/ b a))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (* (sqrt (* (/ c a) -3)) 1/3) #s(hole binary64 (* 1/3 (/ (sqrt (* -3 (* a c))) a))))
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (/ (sqrt (* -3 (* a c))) a)))
#s(approx (* (/ c a) -3) #s(hole binary64 (* -3 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (sqrt (pow b 2)) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (* (sqrt (* (/ a c) -3)) c) #s(hole binary64 (* c (sqrt (* -3 (/ a c))))))
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (sqrt (* -3 (/ a c)))))
#s(approx (* (/ a c) -3) #s(hole binary64 (* -3 (/ a c))))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx (* 3 a) #s(hole binary64 (* 3 a)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1/2 c)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (+ (* -1/2 c) (* -3/8 (/ (* 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) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (sqrt (* -3 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a)))))))))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) #s(hole binary64 (* -1/2 (/ c (fabs b)))))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (- (fabs b) b) a)))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (* a (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (- (fabs b) b) a))))))
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (sqrt (* -3 (/ c a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (sqrt (* -3 (/ c a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))) (/ b a)))))
#s(approx (* (sqrt (* (/ a c) -3)) c) #s(hole binary64 (* a (* c (sqrt (/ -3 (* a c)))))))
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (* a (sqrt (/ -3 (* a c))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (sqrt (* -3 (/ c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (sqrt (* -3 (/ c a)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (pow b 2) (sqrt (* -3 (/ c a))))) (* 1/24 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (* -1 (* a (+ (* -1/3 (/ (- (fabs b) b) a)) (* 1/2 (/ c (fabs b))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (sqrt (* -3 (/ c a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) b) a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ c a)))))) a)) b) a)))))))
#s(approx (* (sqrt (* (/ a c) -3)) c) #s(hole binary64 (* -1 (* a (* c (sqrt (/ -3 (* a c))))))))
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (* -1 (* a (sqrt (/ -3 (* a c)))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (neg (* 3 (* a c))))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (neg (* 3 (* a c)))) 3)))) (* 1/6 (/ 1 (* a (sqrt (neg (* 3 (* a c))))))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (fabs b))) (* 1/3 (fabs b))) a)))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (+ (* -1/3 (/ b a)) (* 1/3 (/ (fabs b) a))))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (+ (* -1/2 (/ (* a c) (fabs b))) (* 1/3 (fabs b)))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (+ (* -1/2 (/ (* a c) (fabs b))) (+ (* -1/3 b) (* 1/3 (fabs b))))))
#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 (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) #s(hole binary64 (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (fabs b) a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (sqrt (neg (* 3 (* a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* -1 b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* 1/2 (/ b (sqrt (neg (* 3 (* a c)))))) 1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (sqrt (neg (* 3 (* a c)))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (neg (* 3 (* a c)))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 3 (* a c)))))))) 1)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) #s(hole binary64 (* b (- (+ (* -1/2 (/ c (* b (fabs b)))) (* 1/3 (/ (fabs b) (* a b)))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (* -1/3 b)))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (* b (- (+ (* -1/2 (/ (* a c) (* b (fabs b)))) (* 1/3 (/ (fabs b) b))) 1/3))))
#s(approx (- (fabs b) b) #s(hole binary64 (* -1 b)))
#s(approx (- (fabs b) b) #s(hole binary64 (* b (- (/ (fabs b) b) 1))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ c (fabs b))) (* 1/3 (/ (fabs b) a))) b)) (* 1/3 (/ 1 a)))))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (* -1 (* b (+ 1/3 (* -1 (/ (+ (* -1/2 (/ (* a c) (fabs b))) (* 1/3 (fabs b))) b)))))))
#s(approx (- (fabs b) b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (fabs b) b)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* 1/3 (/ (- (sqrt (pow b 2)) b) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -3/8 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (* 1/2 (/ 1 (sqrt (pow b 2)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ a (pow (sqrt (pow b 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow b 2)))))))))
#s(approx c #s(hole binary64 c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (* (sqrt (* (/ a c) -3)) c) #s(hole binary64 (sqrt (* -3 (* a c)))))
#s(approx (sqrt (* (/ a c) -3)) #s(hole binary64 (/ (sqrt (* -3 (* a c))) c)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (* c (sqrt (* -3 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3))))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) #s(hole binary64 (* c (- (* 1/3 (/ (- (fabs b) b) (* a c))) (* 1/2 (/ 1 (fabs b)))))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (* c (+ (* -1/2 (/ a (fabs b))) (* 1/3 (/ (- (fabs b) b) c))))))
#s(approx (* (sqrt (* (/ c a) -3)) 1/3) #s(hole binary64 (* 1/3 (* c (sqrt (/ -3 (* a c)))))))
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* c (sqrt (/ -3 (* a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))) (/ b c)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (/ (* c (sqrt (* -3 (/ a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (/ (pow b 2) (* a (* c (sqrt (* -3 (/ a c)))))))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3))))) (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ a c))))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) #s(hole binary64 (* -1 (* c (+ (* -1/3 (/ (- (fabs b) b) (* a c))) (* 1/2 (/ 1 (fabs b))))))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) #s(hole binary64 (* -1 (* c (+ (* -1/3 (/ (- (fabs b) b) c)) (* 1/2 (/ a (fabs b))))))))
#s(approx (* (sqrt (* (/ c a) -3)) 1/3) #s(hole binary64 (* -1/3 (* c (sqrt (/ -3 (* a c)))))))
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* -1 (* c (sqrt (/ -3 (* a c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (sqrt (* -3 (/ a c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -3 (/ a c)))))) b) c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ a c)))))) c)) b) c)))))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64)))) (neg.f64 a))
(/.f64 (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a)
(fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64)) a))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (fabs.f64 b) b) a) (/.f64 (*.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64)) a))
(+.f64 (/.f64 (*.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64)) a) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64)) a))
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(+.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 (* -1/2 (* c a)) (*.f64 (*.f64 #s(literal -1/2 binary64) a) c))
#s(approx (* c a) (*.f64 c a))
#s(approx a a)
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#s(approx (/ b a) (/.f64 b a))
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#s(approx (* (/ c a) -3) (*.f64 (/.f64 c a) #s(literal -3 binary64)))
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#s(approx (/ a c) (/.f64 a c))
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#s(approx (* (* c c) a) (*.f64 (*.f64 c c) a))
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#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 -3 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (* (sqrt (* (/ a c) -3)) c) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c) a)))
#s(approx (sqrt (* (/ a c) -3)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) a)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (neg.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64))) a)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (neg.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c a))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) (*.f64 (*.f64 c a) #s(literal -3 binary64))) a)) #s(literal -1/24 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (/.f64 (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (*.f64 (fabs.f64 b) #s(literal 1/3 binary64))) a))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (*.f64 (fabs.f64 b) #s(literal 1/3 binary64))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/3 binary64) b (*.f64 (fabs.f64 b) #s(literal 1/3 binary64)))))
#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 (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) (neg.f64 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (-.f64 (*.f64 (/.f64 b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b)))
#s(approx (* b b) (*.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b b)) a)) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b))))) b))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (*.f64 (-.f64 (fma.f64 (/.f64 (fabs.f64 b) (*.f64 a b)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (*.f64 (fabs.f64 b) b)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/3 binary64) a)) b))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) (*.f64 #s(literal -1/3 binary64) b))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) (*.f64 (-.f64 (fma.f64 (/.f64 (fabs.f64 b) b) #s(literal 1/3 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 (fabs.f64 b) b))) #s(literal -1/2 binary64))) #s(literal 1/3 binary64)) b))
#s(approx (- (fabs b) b) (neg.f64 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) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 -27/16 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a)))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b b))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) #s(literal -9/8 binary64))))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 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 -9/16 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fabs.f64 b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))) b)) (/.f64 #s(literal 1/3 binary64) a))))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (*.f64 (fabs.f64 b) #s(literal 1/3 binary64))) b)) #s(literal 1/3 binary64))))
#s(approx (- (fabs b) b) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (fabs.f64 b) b)) #s(literal 1 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64))) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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) (*.f64 b b)) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64)))) #s(literal 2 binary64))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (neg.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) c)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 (fabs.f64 b) #s(literal 5 binary64)))) #s(literal -9/16 binary64))) c) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
#s(approx c c)
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 (fma.f64 (/.f64 a (fabs.f64 b)) #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 (*.f64 b b) b))) #s(literal -9/8 binary64))) c (fabs.f64 b)) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 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 -3/2 binary64))) (fabs.f64 b)) b))
#s(approx (* (sqrt (* (/ a c) -3)) c) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))
#s(approx (sqrt (* (/ a c) -3)) (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) c))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c))
#s(approx (* c c) (*.f64 c c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 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 -3 binary64))) (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))) c))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) (*.f64 c a)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) c) #s(literal 1/3 binary64) (*.f64 (/.f64 a (fabs.f64 b)) #s(literal -1/2 binary64))) c))
#s(approx (* (sqrt (* (/ c a) -3)) 1/3) (*.f64 (*.f64 #s(literal 1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a)))))
#s(approx (sqrt (* (/ c a) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) (/.f64 b c)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) (/.f64 b c)) c))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 c b))) (*.f64 c c)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) (*.f64 c c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 b (*.f64 c a)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a)) #s(literal -1/6 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/6 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 -3 binary64))) (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal -1/24 binary64))) c))) c))) c)))
#s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) (*.f64 c a)) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 b))) c)))
#s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 b) b) c) #s(literal -1/3 binary64) (*.f64 (/.f64 a (fabs.f64 b)) #s(literal 1/2 binary64))) c)))
#s(approx (* (sqrt (* (/ c a) -3)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a)))))
#s(approx (sqrt (* (/ c a) -3)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 a c) #s(literal -3 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c c) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal -1/8 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))

eval51.0ms (1.1%)

Memory
-44.6MiB live, 51.9MiB allocated; 21ms collecting garbage
Compiler

Compiled 4 452 to 1 715 computations (61.5% saved)

prune23.0ms (0.5%)

Memory
33.5MiB live, 33.5MiB allocated; 0ms collecting garbage
Pruning

32 alts after pruning (25 fresh and 7 done)

PrunedKeptTotal
New30311314
Fresh101424
Picked235
Done044
Total31532347
Accuracy
99.5%
Counts
347 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶57.3%
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
✓57.3%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
38.1%
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
37.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
44.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 3 binary64) a))
20.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c)) c)) (*.f64 #s(literal 3 binary64) a))
25.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) (*.f64 #s(literal 3 binary64) a))
✓13.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
✓16.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
37.8%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
30.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
18.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a))) (*.f64 #s(literal 3 binary64) a))
✓66.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
26.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
30.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)) a))
37.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
▶29.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b))
▶30.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
44.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (*.f64 (fabs.f64 b) #s(literal 1/3 binary64))) b)) #s(literal 1/3 binary64)))) a))
23.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))) c))
16.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a) #s(literal 1/3 binary64)))
▶20.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c)) a) #s(literal 1/3 binary64)))
30.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))
14.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) #s(literal 1/3 binary64)))
▶13.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))
✓13.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
18.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
22.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
✓37.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
31.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
✓18.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
30.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (sqrt (* (/ c a) -3)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))))))
Compiler

Compiled 1 269 to 1 219 computations (3.9% saved)

series65.0ms (1.4%)

Memory
-21.9MiB live, 67.5MiB allocated; 11ms collecting garbage
Counts
40 → 201
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) a)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(*.f64 #s(literal -3 binary64) a)
#s(literal -3 binary64)
a
c
(*.f64 b b)
b
(neg.f64 b)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))
(sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a))
(/.f64 (*.f64 c #s(literal -3 binary64)) a)
(*.f64 c #s(literal -3 binary64))
#s(literal 1/3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c)) a) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c)) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c)) a)
(*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c))
(sqrt.f64 (*.f64 #s(literal -3 binary64) a))
(sqrt.f64 c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b)
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c))
(*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)
(-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64))
(*.f64 a (/.f64 c (*.f64 b b)))
(/.f64 c (*.f64 b b))
#s(literal -3/8 binary64)
#s(literal 1/2 binary64)
Outputs
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* 1/3 (/ (- (sqrt (pow b 2)) b) a))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (sqrt (pow b 2)))) (* 1/3 (- (sqrt (pow b 2)) b))) a)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* -3/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (/ (- (sqrt (pow b 2)) b) a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (/ (- (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))) b) a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (/ (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b) a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (/ (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b) a)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (- (sqrt (pow b 2)) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (sqrt (pow b 2))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2))))
#s(approx (* -3 a) #s(hole binary64 (* -3 a)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1/2 c)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))))
#s(approx (* (sqrt (/ (* c -3) a)) 1/3) #s(hole binary64 (* 1/3 (/ (sqrt (* -3 (* a c))) a))))
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (/ (sqrt (* -3 (* a c))) a)))
#s(approx (/ (* c -3) a) #s(hole binary64 (* -3 (/ c a))))
#s(approx (* (/ (* (sqrt (* -3 a)) (sqrt c)) a) 1/3) #s(hole binary64 (* 1/3 (/ (* (sqrt c) (sqrt (* -3 a))) a))))
#s(approx (/ (* (sqrt (* -3 a)) (sqrt c)) a) #s(hole binary64 (/ (* (sqrt c) (sqrt (* -3 a))) a)))
#s(approx (* (sqrt (* -3 a)) (sqrt c)) #s(hole binary64 (* (sqrt c) (sqrt (* -3 a)))))
#s(approx (sqrt (* -3 a)) #s(hole binary64 (sqrt (* -3 a))))
#s(approx (- (* (* a (/ c (* b b))) -3/8) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* a (/ c (* b b))) -3/8) 1/2) #s(hole binary64 (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)))
#s(approx (* (* a (/ c (* b b))) -3/8) #s(hole binary64 (* -3/8 (/ (* a c) (pow b 2)))))
#s(approx (* a (/ c (* b b))) #s(hole binary64 (/ (* a c) (pow b 2))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* 1/3 (sqrt (* -3 (/ c a))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a))))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a)))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (sqrt (* -3 (/ c a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (+ (sqrt (* -3 (/ c a))) (* -1 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (+ (sqrt (* -3 (/ c a))) (+ (* -1 (/ b a)) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (+ (sqrt (* -3 (/ c a))) (+ (* -1 (/ b a)) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (sqrt (* -3 (/ c a))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))) (/ b a)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))) (/ b a)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -3 (* a c))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))))
#s(approx (* (/ (* (sqrt (* -3 a)) (sqrt c)) a) 1/3) #s(hole binary64 (* 1/3 (* (sqrt c) (sqrt (/ -3 a))))))
#s(approx (/ (* (sqrt (* -3 a)) (sqrt c)) a) #s(hole binary64 (* (sqrt c) (sqrt (/ -3 a)))))
#s(approx (* (sqrt (* -3 a)) (sqrt c)) #s(hole binary64 (* a (* (sqrt c) (sqrt (/ -3 a))))))
#s(approx (sqrt (* -3 a)) #s(hole binary64 (* a (sqrt (/ -3 a)))))
#s(approx (- (* (* a (/ c (* b b))) -3/8) 1/2) #s(hole binary64 (* a (- (* -3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* -1/3 (sqrt (* -3 (/ c a))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/3 (sqrt (* -3 (/ c a)))) (* -1/3 (/ b a)))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (pow b 2) (sqrt (* -3 (/ c a))))) (* 1/24 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* -1 (sqrt (* -3 (/ c a))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (+ (* -1 (sqrt (* -3 (/ c a)))) (* -1 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (+ (* -1 (sqrt (* -3 (/ c a)))) (* -1 (/ (+ b (* 1/2 (/ (pow b 2) (* a (sqrt (* -3 (/ c a))))))) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (+ (* -1 (sqrt (* -3 (/ c a)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (/ (pow b 2) (sqrt (* -3 (/ c a))))) (* 1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3))))) a))) a)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (sqrt (* -3 (/ c a)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) b) a)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ c a)))))) a)) b) a)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))))
#s(approx (* (/ (* (sqrt (* -3 a)) (sqrt c)) a) 1/3) #s(hole binary64 (* -1/3 (* (sqrt c) (sqrt (/ -3 a))))))
#s(approx (/ (* (sqrt (* -3 a)) (sqrt c)) a) #s(hole binary64 (* -1 (* (sqrt c) (sqrt (/ -3 a))))))
#s(approx (* (sqrt (* -3 a)) (sqrt c)) #s(hole binary64 (* -1 (* a (* (sqrt c) (sqrt (/ -3 a)))))))
#s(approx (sqrt (* -3 a)) #s(hole binary64 (* -1 (* a (sqrt (/ -3 a))))))
#s(approx (- (* (* a (/ c (* b b))) -3/8) 1/2) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (* -3 (* a c))) a)))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* 1/3 (/ (sqrt (* -3 (* a c))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (* -3 (* a c)))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* 1/3 (/ (sqrt (* -3 (* a c))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (* -3 (* a c))) 3)))) (* 1/6 (/ 1 (* a (sqrt (* -3 (* a c)))))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (+ (* -1 (/ b a)) (/ (sqrt (* -3 (* a c))) a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (+ (* b (- (* 1/2 (/ b (* a (sqrt (* -3 (* a c)))))) (/ 1 a))) (/ (sqrt (* -3 (* a c))) a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (/ (pow b 2) (* a (pow (sqrt (* -3 (* a c))) 3)))) (* 1/2 (/ 1 (* a (sqrt (* -3 (* a c)))))))) (/ 1 a))) (/ (sqrt (* -3 (* a c))) a))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (sqrt (* -3 (* a c)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* -1 b))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* b (- (* 1/2 (/ b (sqrt (* -3 (* a c))))) 1)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -3 (* a c))))))) 1)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (* a c))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -3 (* a c))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 5))) (* 1/8 (/ 1 (pow (sqrt (* -3 (* a c))) 3))))) (* 1/2 (/ 1 (sqrt (* -3 (* 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) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (neg (* 3 (* a c))))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (neg (* 3 (* a c)))) 3)))) (* 1/6 (/ 1 (* a (sqrt (neg (* 3 (* a c))))))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))))
#s(approx (- (* (* a (/ c (* b b))) -3/8) 1/2) #s(hole binary64 (/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 2))))
#s(approx (/ c (* b b)) #s(hole binary64 (/ c (pow b 2))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* -3/2 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* -2 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* 1/3 (/ (- (sqrt (pow b 2)) b) a)))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -3/8 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (* 1/2 (/ 1 (sqrt (pow b 2)))))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ a (pow (sqrt (pow b 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow b 2)))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (- (+ (* -3/2 (/ c (sqrt (pow b 2)))) (/ (sqrt (pow b 2)) a)) (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (- (+ (* c (- (* -9/8 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (* 3/2 (/ 1 (sqrt (pow b 2)))))) (/ (sqrt (pow b 2)) a)) (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (- (+ (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ a (pow (sqrt (pow b 2)) 3))))) (* 3/2 (/ 1 (sqrt (pow b 2)))))) (/ (sqrt (pow b 2)) a)) (/ b a))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))))
#s(approx (* c -3) #s(hole binary64 (* -3 c)))
#s(approx (sqrt c) #s(hole binary64 (sqrt c)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* 1/3 (/ (* c (sqrt (* -3 (/ a c)))) a))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3))))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (/ (* c (sqrt (* -3 (/ a c)))) a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ (sqrt (* -3 (/ a c))) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (/ (sqrt (* -3 (/ a c))) a))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3))))) (+ (* 1/2 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (sqrt (* -3 (/ a c))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))) (/ b c)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))) (/ b c)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
#s(approx (* (sqrt (/ (* c -3) a)) 1/3) #s(hole binary64 (* 1/3 (* c (sqrt (/ -3 (* a c)))))))
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (* c (sqrt (/ -3 (* a c))))))
#s(approx (* (/ (* (sqrt (* -3 a)) (sqrt c)) a) 1/3) #s(hole binary64 (* 1/3 (/ (* c (* (sqrt (* -3 a)) (sqrt (/ 1 c)))) a))))
#s(approx (/ (* (sqrt (* -3 a)) (sqrt c)) a) #s(hole binary64 (/ (* c (* (sqrt (* -3 a)) (sqrt (/ 1 c)))) a)))
#s(approx (* (sqrt (* -3 a)) (sqrt c)) #s(hole binary64 (* c (* (sqrt (* -3 a)) (sqrt (/ 1 c))))))
#s(approx (sqrt c) #s(hole binary64 (* c (sqrt (/ 1 c)))))
#s(approx (- (* (* a (/ c (* b b))) -3/8) 1/2) #s(hole binary64 (* c (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* -1/3 (/ (* c (sqrt (* -3 (/ a c)))) a))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (/ (pow b 2) (* a (* c (sqrt (* -3 (/ a c)))))))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3))))) (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ a c))))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* -1 (/ (* c (sqrt (* -3 (/ a c)))) a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* -1 (* c (+ (/ b (* a c)) (/ (sqrt (* -3 (/ a c))) a))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (/ (pow b 2) (* a (* c (sqrt (* -3 (/ a c)))))))) c)) (/ (sqrt (* -3 (/ a c))) a))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3))))) (* 1/2 (/ (pow b 2) (* a (sqrt (* -3 (/ a c))))))) c))) c)) (/ (sqrt (* -3 (/ a c))) a))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (sqrt (* -3 (/ a c)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -3 (/ a c)))))) b) c)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ a c)))))) c)) b) c)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))))
#s(approx (* (sqrt (/ (* c -3) a)) 1/3) #s(hole binary64 (* -1/3 (* c (sqrt (/ -3 (* a c)))))))
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (* -1 (* c (sqrt (/ -3 (* a c)))))))
#s(approx (* (/ (* (sqrt (* -3 a)) (sqrt c)) a) 1/3) #s(hole binary64 (* -1/3 (/ (* c (* (sqrt (* -3 a)) (sqrt (/ 1 c)))) a))))
#s(approx (/ (* (sqrt (* -3 a)) (sqrt c)) a) #s(hole binary64 (* -1 (/ (* c (* (sqrt (* -3 a)) (sqrt (/ 1 c)))) a))))
#s(approx (* (sqrt (* -3 a)) (sqrt c)) #s(hole binary64 (* -1 (* c (* (sqrt (* -3 a)) (sqrt (/ 1 c)))))))
#s(approx (sqrt c) #s(hole binary64 (* -1 (* c (sqrt (/ 1 c))))))
#s(approx (- (* (* a (/ c (* b b))) -3/8) 1/2) #s(hole binary64 (* -1 (* c (+ (* 3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))))
Calls

9 calls:

TimeVariablePointExpression
22.0ms
c
@-inf
((/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) b (neg b) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (* -1/2 c) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (/ (* c -3) a)) 1/3) (sqrt (/ (* c -3) a)) (/ (* c -3) a) (* c -3) 1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ (* (sqrt (* -3 a)) (sqrt c)) a) 1/3) (/ (* (sqrt (* -3 a)) (sqrt c)) a) (* (sqrt (* -3 a)) (sqrt c)) (sqrt (* -3 a)) (sqrt c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (* (- (* (* a (/ c (* b b))) -3/8) 1/2) c) (- (* (* a (/ c (* b b))) -3/8) 1/2) (* (* a (/ c (* b b))) -3/8) (* a (/ c (* b b))) (/ c (* b b)) -3/8 1/2)
8.0ms
a
@inf
((/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) b (neg b) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (* -1/2 c) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (/ (* c -3) a)) 1/3) (sqrt (/ (* c -3) a)) (/ (* c -3) a) (* c -3) 1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ (* (sqrt (* -3 a)) (sqrt c)) a) 1/3) (/ (* (sqrt (* -3 a)) (sqrt c)) a) (* (sqrt (* -3 a)) (sqrt c)) (sqrt (* -3 a)) (sqrt c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (* (- (* (* a (/ c (* b b))) -3/8) 1/2) c) (- (* (* a (/ c (* b b))) -3/8) 1/2) (* (* a (/ c (* b b))) -3/8) (* a (/ c (* b b))) (/ c (* b b)) -3/8 1/2)
5.0ms
c
@inf
((/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) b (neg b) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (* -1/2 c) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (/ (* c -3) a)) 1/3) (sqrt (/ (* c -3) a)) (/ (* c -3) a) (* c -3) 1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ (* (sqrt (* -3 a)) (sqrt c)) a) 1/3) (/ (* (sqrt (* -3 a)) (sqrt c)) a) (* (sqrt (* -3 a)) (sqrt c)) (sqrt (* -3 a)) (sqrt c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (* (- (* (* a (/ c (* b b))) -3/8) 1/2) c) (- (* (* a (/ c (* b b))) -3/8) 1/2) (* (* a (/ c (* b b))) -3/8) (* a (/ c (* b b))) (/ c (* b b)) -3/8 1/2)
5.0ms
a
@-inf
((/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) b (neg b) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (* -1/2 c) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (/ (* c -3) a)) 1/3) (sqrt (/ (* c -3) a)) (/ (* c -3) a) (* c -3) 1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ (* (sqrt (* -3 a)) (sqrt c)) a) 1/3) (/ (* (sqrt (* -3 a)) (sqrt c)) a) (* (sqrt (* -3 a)) (sqrt c)) (sqrt (* -3 a)) (sqrt c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (* (- (* (* a (/ c (* b b))) -3/8) 1/2) c) (- (* (* a (/ c (* b b))) -3/8) 1/2) (* (* a (/ c (* b b))) -3/8) (* a (/ c (* b b))) (/ c (* b b)) -3/8 1/2)
5.0ms
a
@0
((/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) b (neg b) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (* -1/2 c) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (/ (* c -3) a)) 1/3) (sqrt (/ (* c -3) a)) (/ (* c -3) a) (* c -3) 1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ (* (sqrt (* -3 a)) (sqrt c)) a) 1/3) (/ (* (sqrt (* -3 a)) (sqrt c)) a) (* (sqrt (* -3 a)) (sqrt c)) (sqrt (* -3 a)) (sqrt c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (* (- (* (* a (/ c (* b b))) -3/8) 1/2) c) (- (* (* a (/ c (* b b))) -3/8) 1/2) (* (* a (/ c (* b b))) -3/8) (* a (/ c (* b b))) (/ c (* b b)) -3/8 1/2)

rewrite204.0ms (4.5%)

Memory
3.4MiB live, 140.3MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09977651
010367339
154407305
082907108
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
241 → 337
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) a)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(*.f64 #s(literal -3 binary64) a)
#s(literal -3 binary64)
a
c
(*.f64 b b)
b
(neg.f64 b)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64))
(sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a))
(/.f64 (*.f64 c #s(literal -3 binary64)) a)
(*.f64 c #s(literal -3 binary64))
#s(literal 1/3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c)) a) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c)) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c)) a)
(*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c))
(sqrt.f64 (*.f64 #s(literal -3 binary64) a))
(sqrt.f64 c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b)
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c))
(*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)
(-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64))
(*.f64 a (/.f64 c (*.f64 b b)))
(/.f64 c (*.f64 b b))
#s(literal -3/8 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* 1/3 (/ (- (sqrt (pow b 2)) b) a))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) (sqrt (pow b 2)))) (* 1/3 (- (sqrt (pow b 2)) b))) a)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* -3/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) a)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (/ (+ (* 1/3 (- (sqrt (pow b 2)) b)) (* a (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (/ (- (sqrt (pow b 2)) b) a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (/ (- (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))) b) a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (/ (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b) a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (/ (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b) a)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (- (sqrt (pow b 2)) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (sqrt (pow b 2))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* -3/2 (/ (* a c) (sqrt (pow b 2)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* -9/8 (/ (* a (pow c 2)) (pow (sqrt (pow b 2)) 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* a (+ (* -3/2 (/ c (sqrt (pow b 2)))) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow c 2) (pow (sqrt (pow b 2)) 3))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2))))
#s(approx (* -3 a) #s(hole binary64 (* -3 a)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1/2 c)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))))
#s(approx (* (sqrt (/ (* c -3) a)) 1/3) #s(hole binary64 (* 1/3 (/ (sqrt (* -3 (* a c))) a))))
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (/ (sqrt (* -3 (* a c))) a)))
#s(approx (/ (* c -3) a) #s(hole binary64 (* -3 (/ c a))))
#s(approx (* (/ (* (sqrt (* -3 a)) (sqrt c)) a) 1/3) #s(hole binary64 (* 1/3 (/ (* (sqrt c) (sqrt (* -3 a))) a))))
#s(approx (/ (* (sqrt (* -3 a)) (sqrt c)) a) #s(hole binary64 (/ (* (sqrt c) (sqrt (* -3 a))) a)))
#s(approx (* (sqrt (* -3 a)) (sqrt c)) #s(hole binary64 (* (sqrt c) (sqrt (* -3 a)))))
#s(approx (sqrt (* -3 a)) #s(hole binary64 (sqrt (* -3 a))))
#s(approx (- (* (* a (/ c (* b b))) -3/8) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* a (/ c (* b b))) -3/8) 1/2) #s(hole binary64 (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)))
#s(approx (* (* a (/ c (* b b))) -3/8) #s(hole binary64 (* -3/8 (/ (* a c) (pow b 2)))))
#s(approx (* a (/ c (* b b))) #s(hole binary64 (/ (* a c) (pow b 2))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* 1/3 (sqrt (* -3 (/ c a))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a))))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/6 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))) (* 1/3 (sqrt (* -3 (/ c a)))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (sqrt (* -3 (/ c a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (+ (sqrt (* -3 (/ c a))) (* -1 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (+ (sqrt (* -3 (/ c a))) (+ (* -1 (/ b a)) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (+ (sqrt (* -3 (/ c a))) (+ (* -1 (/ b a)) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (sqrt (* -3 (/ c a))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))) (/ b a)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))) (/ b a)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -3 (* a c))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))))
#s(approx (* (/ (* (sqrt (* -3 a)) (sqrt c)) a) 1/3) #s(hole binary64 (* 1/3 (* (sqrt c) (sqrt (/ -3 a))))))
#s(approx (/ (* (sqrt (* -3 a)) (sqrt c)) a) #s(hole binary64 (* (sqrt c) (sqrt (/ -3 a)))))
#s(approx (* (sqrt (* -3 a)) (sqrt c)) #s(hole binary64 (* a (* (sqrt c) (sqrt (/ -3 a))))))
#s(approx (sqrt (* -3 a)) #s(hole binary64 (* a (sqrt (/ -3 a)))))
#s(approx (- (* (* a (/ c (* b b))) -3/8) 1/2) #s(hole binary64 (* a (- (* -3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* -1/3 (sqrt (* -3 (/ c a))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/3 (sqrt (* -3 (/ c a)))) (* -1/3 (/ b a)))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (pow b 2) (sqrt (* -3 (/ c a))))) (* 1/24 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (sqrt (* -3 (/ c a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* -1 (sqrt (* -3 (/ c a))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (+ (* -1 (sqrt (* -3 (/ c a)))) (* -1 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (+ (* -1 (sqrt (* -3 (/ c a)))) (* -1 (/ (+ b (* 1/2 (/ (pow b 2) (* a (sqrt (* -3 (/ c a))))))) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (+ (* -1 (sqrt (* -3 (/ c a)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (/ (pow b 2) (sqrt (* -3 (/ c a))))) (* 1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3))))) a))) a)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (sqrt (* -3 (/ c a)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* a (sqrt (* -3 (/ c a)))))) b) a)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow a 2) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ c a)))))) a)) b) a)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a))))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (sqrt (* -3 (/ c a))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt (* -3 (/ c a))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt (* -3 (/ c a))) 5)))) (* 1/2 (/ (pow b 2) (* (pow a 2) (sqrt (* -3 (/ c a)))))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))))
#s(approx (* (/ (* (sqrt (* -3 a)) (sqrt c)) a) 1/3) #s(hole binary64 (* -1/3 (* (sqrt c) (sqrt (/ -3 a))))))
#s(approx (/ (* (sqrt (* -3 a)) (sqrt c)) a) #s(hole binary64 (* -1 (* (sqrt c) (sqrt (/ -3 a))))))
#s(approx (* (sqrt (* -3 a)) (sqrt c)) #s(hole binary64 (* -1 (* a (* (sqrt c) (sqrt (/ -3 a)))))))
#s(approx (sqrt (* -3 a)) #s(hole binary64 (* -1 (* a (sqrt (/ -3 a))))))
#s(approx (- (* (* a (/ c (* b b))) -3/8) 1/2) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (* -3 (* a c))) a)))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* 1/3 (/ (sqrt (* -3 (* a c))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (* -3 (* a c)))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* 1/3 (/ (sqrt (* -3 (* a c))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (* -3 (* a c))) 3)))) (* 1/6 (/ 1 (* a (sqrt (* -3 (* a c)))))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (+ (* -1 (/ b a)) (/ (sqrt (* -3 (* a c))) a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (+ (* b (- (* 1/2 (/ b (* a (sqrt (* -3 (* a c)))))) (/ 1 a))) (/ (sqrt (* -3 (* a c))) a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (/ (pow b 2) (* a (pow (sqrt (* -3 (* a c))) 3)))) (* 1/2 (/ 1 (* a (sqrt (* -3 (* a c)))))))) (/ 1 a))) (/ (sqrt (* -3 (* a c))) a))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (sqrt (* -3 (* a c)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* -1 b))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* b (- (* 1/2 (/ b (sqrt (* -3 (* a c))))) 1)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* b (- (* b (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -3 (* a c))))))) 1)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (* a c))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 3))) (* 1/2 (/ 1 (sqrt (* -3 (* a c))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (* -3 (* a c))) (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow (sqrt (* -3 (* a c))) 5))) (* 1/8 (/ 1 (pow (sqrt (* -3 (* a c))) 3))))) (* 1/2 (/ 1 (sqrt (* -3 (* 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) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* 1/6 (/ b (* a (sqrt (neg (* 3 (* a c))))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ (sqrt (neg (* 3 (* a c)))) a)) (* b (- (* b (+ (* -1/24 (/ (pow b 2) (* a (pow (sqrt (neg (* 3 (* a c)))) 3)))) (* 1/6 (/ 1 (* a (sqrt (neg (* 3 (* a c))))))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))))
#s(approx (- (* (* a (/ c (* b b))) -3/8) 1/2) #s(hole binary64 (/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 2))))
#s(approx (/ c (* b b)) #s(hole binary64 (/ c (pow b 2))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* -3/2 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* -2 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* -1/2 (/ c (sqrt (pow b 2)))) (* 1/3 (/ (- (sqrt (pow b 2)) b) a)))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* -3/8 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (* 1/2 (/ 1 (sqrt (pow b 2)))))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (+ (* 1/3 (/ (- (sqrt (pow b 2)) b) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -3/8 (/ a (pow (sqrt (pow b 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow b 2)))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (- (+ (* -3/2 (/ c (sqrt (pow b 2)))) (/ (sqrt (pow b 2)) a)) (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (- (+ (* c (- (* -9/8 (/ (* a c) (pow (sqrt (pow b 2)) 3))) (* 3/2 (/ 1 (sqrt (pow b 2)))))) (/ (sqrt (pow b 2)) a)) (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (- (+ (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ a (pow (sqrt (pow b 2)) 3))))) (* 3/2 (/ 1 (sqrt (pow b 2)))))) (/ (sqrt (pow b 2)) a)) (/ b a))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3)))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (- (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3)))))))) b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* -9/8 (/ (* (pow a 2) c) (pow (sqrt (pow b 2)) 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (sqrt (pow b 2)) (* c (+ (* -3/2 (/ a (sqrt (pow b 2)))) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow (sqrt (pow b 2)) 5))) (* -9/8 (/ (pow a 2) (pow (sqrt (pow b 2)) 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))))
#s(approx (* c -3) #s(hole binary64 (* -3 c)))
#s(approx (sqrt c) #s(hole binary64 (sqrt c)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* 1/3 (/ (* c (sqrt (* -3 (/ a c)))) a))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3))))) (+ (* 1/6 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (/ (* c (sqrt (* -3 (/ a c)))) a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ (sqrt (* -3 (/ a c))) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (/ (sqrt (* -3 (/ a c))) a))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (/ (pow b 4) (* a (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3))))) (+ (* 1/2 (/ (pow b 2) (* a (* (pow c 2) (sqrt (* -3 (/ a c))))))) (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (sqrt (* -3 (/ a c))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))) (/ b c)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))) (/ b c)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
#s(approx (* (sqrt (/ (* c -3) a)) 1/3) #s(hole binary64 (* 1/3 (* c (sqrt (/ -3 (* a c)))))))
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (* c (sqrt (/ -3 (* a c))))))
#s(approx (* (/ (* (sqrt (* -3 a)) (sqrt c)) a) 1/3) #s(hole binary64 (* 1/3 (/ (* c (* (sqrt (* -3 a)) (sqrt (/ 1 c)))) a))))
#s(approx (/ (* (sqrt (* -3 a)) (sqrt c)) a) #s(hole binary64 (/ (* c (* (sqrt (* -3 a)) (sqrt (/ 1 c)))) a)))
#s(approx (* (sqrt (* -3 a)) (sqrt c)) #s(hole binary64 (* c (* (sqrt (* -3 a)) (sqrt (/ 1 c))))))
#s(approx (sqrt c) #s(hole binary64 (* c (sqrt (/ 1 c)))))
#s(approx (- (* (* a (/ c (* b b))) -3/8) 1/2) #s(hole binary64 (* c (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* -1/3 (/ (* c (sqrt (* -3 (/ a c)))) a))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (/ b (* a c))) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (/ (pow b 2) (* a (* c (sqrt (* -3 (/ a c)))))))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3))))) (* 1/6 (/ (pow b 2) (* a (sqrt (* -3 (/ a c))))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (/ (sqrt (* -3 (/ a c))) a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* -1 (/ (* c (sqrt (* -3 (/ a c)))) a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* -1 (* c (+ (/ b (* a c)) (/ (sqrt (* -3 (/ a c))) a))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (/ (pow b 2) (* a (* c (sqrt (* -3 (/ a c)))))))) c)) (/ (sqrt (* -3 (/ a c))) a))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* a (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3))))) (* 1/2 (/ (pow b 2) (* a (sqrt (* -3 (/ a c))))))) c))) c)) (/ (sqrt (* -3 (/ a c))) a))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (sqrt (* -3 (/ a c)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1/2 (/ (pow b 2) (* c (sqrt (* -3 (/ a c)))))) b) c)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (pow b 4) (* (pow c 2) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (sqrt (* -3 (/ a c)))))) c)) b) c)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c))))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (sqrt (* -3 (/ a c))) (+ (* -1/8 (/ (pow b 4) (* (pow c 4) (pow (sqrt (* -3 (/ a c))) 3)))) (+ (* 1/16 (/ (pow b 6) (* (pow c 6) (pow (sqrt (* -3 (/ a c))) 5)))) (* 1/2 (/ (pow b 2) (* (pow c 2) (sqrt (* -3 (/ a c)))))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))))
#s(approx (* (sqrt (/ (* c -3) a)) 1/3) #s(hole binary64 (* -1/3 (* c (sqrt (/ -3 (* a c)))))))
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (* -1 (* c (sqrt (/ -3 (* a c)))))))
#s(approx (* (/ (* (sqrt (* -3 a)) (sqrt c)) a) 1/3) #s(hole binary64 (* -1/3 (/ (* c (* (sqrt (* -3 a)) (sqrt (/ 1 c)))) a))))
#s(approx (/ (* (sqrt (* -3 a)) (sqrt c)) a) #s(hole binary64 (* -1 (/ (* c (* (sqrt (* -3 a)) (sqrt (/ 1 c)))) a))))
#s(approx (* (sqrt (* -3 a)) (sqrt c)) #s(hole binary64 (* -1 (* c (* (sqrt (* -3 a)) (sqrt (/ 1 c)))))))
#s(approx (sqrt c) #s(hole binary64 (* -1 (* c (sqrt (/ 1 c))))))
#s(approx (- (* (* a (/ c (* b b))) -3/8) 1/2) #s(hole binary64 (* -1 (* c (+ (* 3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))))
Outputs
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a)) #s(literal -3 binary64))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))) (neg.f64 a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a)
(+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) (/.f64 (neg.f64 b) a))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (*.f64 (*.f64 b b) (neg.f64 b))) (+.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 1 binary64)) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))
(pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal -1/2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)))
(/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b b))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (*.f64 c a) #s(literal -3 binary64)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(fma.f64 (sqrt.f64 (*.f64 b b)) (sqrt.f64 (*.f64 b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 c a)) (*.f64 b b))
(fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(-.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (neg.f64 b) b))
(+.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(*.f64 a #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) a)
#s(literal -3 binary64)
a
c
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b)
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (sqrt.f64 (*.f64 b b)) (sqrt.f64 (*.f64 b b)))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 b 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))
(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))))
b
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
#s(literal 3 binary64)
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(/.f64 (neg.f64 c) (neg.f64 (*.f64 b b)))
(/.f64 (/.f64 c b) b)
(/.f64 c (*.f64 b b))
#s(literal -3/8 binary64)
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#s(approx a a)
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#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 5/2 binary64)) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) a))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 b a)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c a) #s(literal -1/2 binary64))) a))
#s(approx (* (/ (* (sqrt (* -3 a)) (sqrt c)) a) 1/3) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (* (sqrt (* -3 a)) (sqrt c)) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))
#s(approx (* (sqrt (* -3 a)) (sqrt c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a))
#s(approx (sqrt (* -3 a)) (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) a)) a))
#s(approx (- (* (* a (/ c (* b b))) -3/8) 1/2) (*.f64 (-.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) a)) a))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) b)) a))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 a a))) #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal -1/6 binary64))) a))) a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 (neg.f64 b) a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) #s(literal 1/2 binary64) b) a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 a a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal -1/2 binary64))) a)) b) a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) #s(literal -1/2 binary64)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 a a))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64))) a)) b) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)) #s(literal 5/2 binary64)) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (+ (* (* -3 a) c) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (neg.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c (*.f64 b a)) #s(literal 1/2 binary64))) a)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (neg.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 (/.f64 c a) #s(literal 1/2 binary64))) a)))
#s(approx (* (/ (* (sqrt (* -3 a)) (sqrt c)) a) 1/3) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (* (sqrt (* -3 a)) (sqrt c)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (* (sqrt (* -3 a)) (sqrt c)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)))
#s(approx (sqrt (* -3 a)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) a)) a)))
#s(approx (- (* (* a (/ c (* b b))) -3/8) 1/2) (neg.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) a)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) a)) #s(literal -1/24 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) b (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) a)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a))) b) (/.f64 #s(literal 1 binary64) a)) b (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) (neg.f64 b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (/.f64 b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal -3/2 binary64)))) (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))
#s(approx b b)
#s(approx (neg b) (neg.f64 b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 3/2 binary64)) a)) #s(literal -1/24 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b)))
#s(approx (- (* (* a (/ c (* b b))) -3/8) 1/2) (/.f64 (fma.f64 (*.f64 c a) #s(literal -3/8 binary64) (*.f64 (*.f64 b b) #s(literal -1/2 binary64))) (*.f64 b b)))
#s(approx (/ c (* b b)) (/.f64 c (*.f64 b b)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (/.f64 (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b b)) a)) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b))))) b))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (/.f64 (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) c)) b))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) c))) b))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 #s(literal -3/2 binary64) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b b)) a)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a)))) b))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b b))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) #s(literal -9/8 binary64))))) b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3/2 binary64) #s(literal 1 binary64)) b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64))) b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 1 binary64)) b))
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.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 -9/16 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (*.f64 #s(literal -2 binary64) (/.f64 b a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (/.f64 #s(literal 2 binary64) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) 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 -27/16 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -9/8 binary64) (/.f64 #s(literal 2 binary64) a))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3/2 binary64) #s(literal 2 binary64))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3/2 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b b))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 1 binary64))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (neg.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 c c) (/.f64 a (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) c)) b)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (fma.f64 (/.f64 c (sqrt.f64 (*.f64 b b))) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 b b)))) c (*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 (*.f64 b b) #s(literal 5/2 binary64)))) #s(literal -9/16 binary64) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 b b)))) c (*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (fma.f64 #s(literal -3/2 binary64) (/.f64 c (sqrt.f64 (*.f64 b b))) (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 (*.f64 b b)))) c (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 (*.f64 b b) #s(literal 5/2 binary64)))) #s(literal -27/16 binary64) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 (*.f64 b b)))) c (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) a)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (-.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 (*.f64 b b) b))) #s(literal -9/8 binary64) (*.f64 (/.f64 a (sqrt.f64 (*.f64 b b))) #s(literal -3/2 binary64))) c (sqrt.f64 (*.f64 b b))) b))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (-.f64 (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (pow.f64 (*.f64 b b) #s(literal 5/2 binary64)))) c (*.f64 (/.f64 a (sqrt.f64 (*.f64 b b))) #s(literal -3/2 binary64))) (sqrt.f64 (*.f64 b b))) b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (*.f64 (*.f64 b b) b))) #s(literal -9/8 binary64) (*.f64 (/.f64 a (sqrt.f64 (*.f64 b b))) #s(literal -3/2 binary64))) c (sqrt.f64 (*.f64 b b))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 c (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (pow.f64 (*.f64 b b) #s(literal 5/2 binary64)))) c (*.f64 (/.f64 a (sqrt.f64 (*.f64 b b))) #s(literal -3/2 binary64))) (sqrt.f64 (*.f64 b b))))
#s(approx c c)
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64))) #s(literal 1/2 binary64)) c))
#s(approx (* c -3) (*.f64 c #s(literal -3 binary64)))
#s(approx (sqrt c) (sqrt.f64 c))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))) c))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))) c))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 c c))) (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64))))) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (*.f64 (+.f64 (/.f64 (neg.f64 b) (*.f64 c a)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) (/.f64 (neg.f64 b) (*.f64 c a))) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 c c))) (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a))) (/.f64 (neg.f64 b) (*.f64 c a))) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) (/.f64 b c)) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) (/.f64 b c)) c))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 5/2 binary64)) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)) c))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b c))) (*.f64 c c)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) (*.f64 c c)))
#s(approx (* (sqrt (/ (* c -3) a)) 1/3) (*.f64 (*.f64 #s(literal 1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a)))))
#s(approx (sqrt (/ (* c -3) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c))
#s(approx (* (/ (* (sqrt (* -3 a)) (sqrt c)) a) 1/3) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) c))) c) a) #s(literal 1/3 binary64)))
#s(approx (/ (* (sqrt (* -3 a)) (sqrt c)) a) (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) c))) c) a))
#s(approx (* (sqrt (* -3 a)) (sqrt c)) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) c))) c))
#s(approx (sqrt c) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 c)) c))
#s(approx (- (* (* a (/ c (* b b))) -3/8) 1/2) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) c))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a) #s(literal -1/3 binary64)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) (/.f64 b (*.f64 c a)))) c)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a)) #s(literal -1/6 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c))) c)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 c c)) a)) #s(literal -1/24 binary64))) c))) c))) c)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (neg.f64 (*.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) (/.f64 b (*.f64 c a))) c)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a)) #s(literal -1/2 binary64) (/.f64 (neg.f64 b) a)) c)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) c)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 c c)) a)) #s(literal -1/8 binary64))) c)) (/.f64 (neg.f64 b) a)) c)) (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) c)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (+.f64 (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 c c))) #s(literal -1/8 binary64))) c)) b) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b b)) (*.f64 (pow.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)) #s(literal 5/2 binary64)) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (*.f64 c c))) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (* (* -3 a) c) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))) c)))
#s(approx (* (sqrt (/ (* c -3) a)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a)))))
#s(approx (sqrt (/ (* c -3) a)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c)))
#s(approx (* (/ (* (sqrt (* -3 a)) (sqrt c)) a) 1/3) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) c))) c) a) #s(literal -1/3 binary64)))
#s(approx (/ (* (sqrt (* -3 a)) (sqrt c)) a) (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) c))) c)) a))
#s(approx (* (sqrt (* -3 a)) (sqrt c)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) c))) c)))
#s(approx (sqrt c) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 c)) c)))
#s(approx (- (* (* a (/ c (* b b))) -3/8) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) c)) c)))

eval40.0ms (0.9%)

Memory
8.5MiB live, 52.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 5 351 to 1 868 computations (65.1% saved)

prune29.0ms (0.6%)

Memory
31.7MiB live, 31.7MiB allocated; 0ms collecting garbage
Pruning

34 alts after pruning (23 fresh and 11 done)

PrunedKeptTotal
New31612328
Fresh91120
Picked055
Done167
Total32634360
Accuracy
99.5%
Counts
360 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓57.3%
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
27.2%
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
37.9%
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64))
✓57.3%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
38.1%
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
37.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
22.8%
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 (neg.f64 b) a))) #s(literal 3 binary64))
30.6%
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #s(literal 3 binary64))
14.0%
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64))
18.1%
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64))
44.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 3 binary64) a))
20.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c)) c)) (*.f64 #s(literal 3 binary64) a))
✓16.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
37.8%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
23.4%
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))) c))
22.8%
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
18.1%
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
✓66.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
30.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)) a))
37.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
30.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b))
✓29.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b))
✓30.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
44.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (*.f64 (fabs.f64 b) #s(literal 1/3 binary64))) b)) #s(literal 1/3 binary64)))) a))
✓20.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c)) a) #s(literal 1/3 binary64)))
30.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))
14.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) #s(literal 1/3 binary64)))
✓13.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))
✓13.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
13.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 c (/.f64 #s(literal -3 binary64) a))) #s(literal 1/3 binary64)))
✓37.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
31.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
✓18.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
30.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (sqrt (/ (* c -3) a)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))))))
Compiler

Compiled 1 584 to 1 060 computations (33.1% saved)

regimes104.0ms (2.3%)

Memory
-15.0MiB live, 83.1MiB allocated; 14ms collecting garbage
Counts
66 → 5
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 c (/.f64 #s(literal -3 binary64) a))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (sqrt (* (/ c a) -3)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (sqrt (/ (* c -3) a)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c)) a) #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a) #s(literal 1/3 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 a)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 (neg.f64 b) a))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (sqrt (* (/ c a) -3)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c))) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (fabs.f64 b))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))) c))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a) #s(literal 1/3 binary64) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (*.f64 (fabs.f64 b) #s(literal 1/3 binary64))) b)) #s(literal 1/3 binary64)))) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/2 binary64))) a) #s(literal 1/3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal -1/2 binary64)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
Calls

5 calls:

27.0ms
c
22.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
17.0ms
b
17.0ms
(*.f64 #s(literal 3 binary64) a)
17.0ms
a
Results
AccuracySegmentsBranch
70.8%3(*.f64 #s(literal 3 binary64) a)
90.2%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
70.8%3a
86.1%3b
69.7%3c
Compiler

Compiled 20 to 26 computations (-30% saved)

regimes17.0ms (0.4%)

Memory
-24.1MiB live, 20.2MiB allocated; 3ms collecting garbage
Counts
52 → 5
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 c (/.f64 #s(literal -3 binary64) a))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (sqrt (* (/ c a) -3)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (sqrt (/ (* c -3) a)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c)) a) #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a) #s(literal 1/3 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 a)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 (neg.f64 b) a))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (sqrt (* (/ c a) -3)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c))) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (fabs.f64 b))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
Calls

1 calls:

12.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
90.2%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 14 to 12 computations (14.3% saved)

regimes27.0ms (0.6%)

Memory
44.6MiB live, 44.6MiB allocated; 0ms collecting garbage
Counts
50 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 c (/.f64 #s(literal -3 binary64) a))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (sqrt (* (/ c a) -3)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (sqrt (/ (* c -3) a)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c)) a) #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a) #s(literal 1/3 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 a)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 (neg.f64 b) a))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (sqrt (* (/ c a) -3)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c))) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (fabs.f64 b))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)) b)) (*.f64 #s(literal 3 binary64) a))
Outputs
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (fabs.f64 b))) (fabs.f64 b)) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
Calls

2 calls:

13.0ms
b
11.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
82.4%3b
79.3%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 15 to 15 computations (0% saved)

regimes17.0ms (0.4%)

Memory
-22.5MiB live, 23.4MiB allocated; 2ms collecting garbage
Counts
49 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 c (/.f64 #s(literal -3 binary64) a))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (sqrt (* (/ c a) -3)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (sqrt (/ (* c -3) a)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c)) a) #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a) #s(literal 1/3 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 a)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 (neg.f64 b) a))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (sqrt (* (/ c a) -3)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))) c))) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (fabs.f64 b))) #s(literal -1/2 binary64) (*.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64))) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (-.f64 (fabs.f64 b) b) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (fabs.f64 b))) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (fabs.f64 b) b) a) #s(literal 1/3 binary64))))
Calls

1 calls:

14.0ms
b
Results
AccuracySegmentsBranch
82.4%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.3%)

Memory
21.6MiB live, 21.6MiB allocated; 0ms collecting garbage
Counts
43 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 c (/.f64 #s(literal -3 binary64) a))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (sqrt (* (/ c a) -3)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (sqrt (/ (* c -3) a)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c)) a) #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a) #s(literal 1/3 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 a)) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 (neg.f64 b) a))) #s(literal 3 binary64))
Outputs
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
82.4%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.3%)

Memory
-30.7MiB live, 16.4MiB allocated; 1ms collecting garbage
Counts
37 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 c (/.f64 #s(literal -3 binary64) a))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (sqrt (* (/ c a) -3)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (sqrt (/ (* c -3) a)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c)) a) #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 c (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) a)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c) a) #s(literal 1/3 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
Outputs
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
81.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.2%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 c (/.f64 #s(literal -3 binary64) a))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (sqrt (* (/ c a) -3)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (sqrt (/ (* c -3) a)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64)))
Outputs
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
81.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.2%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 c (/.f64 #s(literal -3 binary64) a))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (sqrt (* (/ c a) -3)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (sqrt (/ (* c -3) a)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))))))
Outputs
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (sqrt (* (/ c a) -3)) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) c) (sqrt.f64 (/.f64 #s(literal -3 binary64) (*.f64 c a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
81.2%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.3%)

Memory
15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 c (/.f64 #s(literal -3 binary64) a))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) #s(literal 1/3 binary64)))
Outputs
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

2 calls:

6.0ms
b
5.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
67.9%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
74.6%3b
Compiler

Compiled 15 to 15 computations (0% saved)

regimes13.0ms (0.3%)

Memory
-42.9MiB live, 8.0MiB allocated; 8ms collecting garbage
Counts
18 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 c (/.f64 #s(literal -3 binary64) a))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) 3) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) #s(literal 3 binary64))
Outputs
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

12.0ms
b
Results
AccuracySegmentsBranch
74.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes16.0ms (0.3%)

Memory
27.3MiB live, 27.3MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (-.f64 (fabs.f64 b) b)) (*.f64 #s(literal 3 binary64) a))
Outputs
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

4 calls:

4.0ms
(*.f64 #s(literal 3 binary64) a)
4.0ms
a
4.0ms
b
4.0ms
c
Results
AccuracySegmentsBranch
44.9%1c
44.9%1(*.f64 #s(literal 3 binary64) a)
44.9%1a
66.0%2b
Compiler

Compiled 6 to 14 computations (-133.3% saved)

regimes4.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) a) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #s(literal 3 binary64))
Outputs
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
66.0%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (- (fabs b) b) 1/3) (/ (* -1/2 (* c a)) (fabs b))) a) (*.f64 (/.f64 c (fabs.f64 b)) #s(literal -1/2 binary64))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
66.0%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory
-42.0MiB live, 4.7MiB allocated; 2ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
66.0%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.2%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
Calls

5 calls:

1.0ms
(*.f64 #s(literal 3 binary64) a)
1.0ms
b
1.0ms
a
1.0ms
c
1.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
37.8%1(*.f64 #s(literal 3 binary64) a)
37.8%1a
37.8%1c
37.8%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
37.8%1b
Compiler

Compiled 20 to 26 computations (-30% saved)

regimes5.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ c (fabs b)) -1/2) (* (/ (- (fabs b) b) a) 1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
Calls

5 calls:

1.0ms
c
1.0ms
(*.f64 #s(literal 3 binary64) a)
1.0ms
a
1.0ms
b
1.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
18.2%1b
18.2%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
18.2%1c
18.2%1(*.f64 #s(literal 3 binary64) a)
18.2%1a
Compiler

Compiled 20 to 26 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
6.437452637966745e+225
1.0923588738302947e+234
0.0ms
-0.0
1.3246954668605134e-250
0.0ms
-9.608883105633898e-306
0.0
0.0ms
-inf
-1.2915130401187572e+285
Compiler

Compiled 17 to 18 computations (-5.9% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
6.437452637966745e+225
1.0923588738302947e+234
0.0ms
-0.0
1.3246954668605134e-250
0.0ms
-9.608883105633898e-306
0.0
0.0ms
-inf
-1.2915130401187572e+285
Compiler

Compiled 17 to 18 computations (-5.9% saved)

bsearch38.0ms (0.8%)

Memory
5.6MiB live, 52.5MiB allocated; 2ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
5.426694839485305e-88
3.9910835543383605e-71
9.0ms
-5.661980785974236e-62
-1.5720580714186842e-62
Samples
10.0ms178×0valid
6.0ms36×2valid
4.0ms26×1valid
3.0ms45×0invalid
Compiler

Compiled 630 to 633 computations (-0.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult!: 5.0ms (35.1% of total)
ival-sqrt: 3.0ms (21.1% of total)
adjust: 2.0ms (14.1% of total)
ival-div!: 2.0ms (14.1% of total)
ival-sub!: 1.0ms (7% of total)
ival-add!: 1.0ms (7% of total)
ival-neg: 1.0ms (7% of total)

bsearch3.0ms (0.1%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.426694839485305e-88
3.9910835543383605e-71
1.0ms
-5.661980785974236e-62
-1.5720580714186842e-62
Compiler

Compiled 635 to 633 computations (0.3% saved)

bsearch2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.426694839485305e-88
3.9910835543383605e-71
1.0ms
-5.661980785974236e-62
-1.5720580714186842e-62
Compiler

Compiled 545 to 563 computations (-3.3% saved)

bsearch2.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.426694839485305e-88
3.9910835543383605e-71
1.0ms
-5.661980785974236e-62
-1.5720580714186842e-62
Compiler

Compiled 590 to 593 computations (-0.5% saved)

bsearch2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.426694839485305e-88
3.9910835543383605e-71
1.0ms
-5.661980785974236e-62
-1.5720580714186842e-62
Compiler

Compiled 590 to 593 computations (-0.5% saved)

bsearch5.0ms (0.1%)

Memory
-42.7MiB live, 3.7MiB allocated; 3ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
4.0ms
5.426694839485305e-88
3.9910835543383605e-71
1.0ms
-5.661980785974236e-62
-1.5720580714186842e-62
Compiler

Compiled 695 to 698 computations (-0.4% saved)

bsearch40.0ms (0.9%)

Memory
0.6MiB live, 49.5MiB allocated; 8ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2.4998039296269748e-170
4.197955122685153e-169
15.0ms
-1.3157803840062703e-160
-1.258307786183907e-163
Samples
12.0ms214×0valid
4.0ms69×0invalid
3.0ms23×1valid
0.0ms3×2valid
Compiler

Compiled 575 to 596 computations (-3.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult!: 4.0ms (33.4% of total)
ival-sqrt: 2.0ms (16.7% of total)
ival-div!: 2.0ms (16.7% of total)
adjust: 1.0ms (8.3% of total)
ival-sub!: 1.0ms (8.3% of total)
ival-add!: 1.0ms (8.3% of total)
ival-neg: 1.0ms (8.3% of total)

bsearch2.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.4998039296269748e-170
4.197955122685153e-169
1.0ms
-1.3157803840062703e-160
-1.258307786183907e-163
Compiler

Compiled 575 to 581 computations (-1% saved)

bsearch18.0ms (0.4%)

Memory
26.6MiB live, 26.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
2.859581427519935e-308
6.8499806698056115e-307
Samples
7.0ms112×0valid
4.0ms59×0invalid
Compiler

Compiled 258 to 263 computations (-1.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult!: 2.0ms (34.3% of total)
ival-sqrt: 1.0ms (17.2% of total)
ival-neg: 1.0ms (17.2% of total)
ival-div!: 1.0ms (17.2% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.859581427519935e-308
6.8499806698056115e-307
Compiler

Compiled 258 to 263 computations (-1.9% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.859581427519935e-308
6.8499806698056115e-307
Compiler

Compiled 258 to 256 computations (0.8% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.859581427519935e-308
6.8499806698056115e-307
Compiler

Compiled 258 to 256 computations (0.8% saved)

derivations392.0ms (8.7%)

Memory
12.7MiB live, 245.2MiB allocated; 47ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 298 to 160 computations (46.3% saved)

preprocess175.0ms (3.9%)

Memory
9.4MiB live, 193.8MiB allocated; 23ms collecting garbage
Compiler

Compiled 312 to 172 computations (44.9% saved)

end0.0ms (0%)

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

Profiling

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