Cubic critical

Time bar (total: 3.9s)

start0.0ms (0%)

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

analyze119.0ms (3.1%)

Memory
13.5MiB live, 151.8MiB allocated; 31ms 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)

sample1.5s (38.4%)

Memory
25.4MiB live, 1 601.9MiB allocated; 886ms collecting garbage
Samples
373.0ms5 520×0valid
232.0ms1 185×2valid
166.0ms1 347×1valid
65.0ms915×0invalid
46.0ms204×3valid
Precisions
Click to see histograms. Total time spent on operations: 601.0ms
ival-mult!: 179.0ms (29.8% of total)
ival-sqrt: 149.0ms (24.8% of total)
adjust: 82.0ms (13.6% of total)
ival-div!: 73.0ms (12.1% of total)
ival-neg: 54.0ms (9% of total)
ival-add!: 36.0ms (6% of total)
ival-sub!: 29.0ms (4.8% of total)
Bogosity

explain159.0ms (4.1%)

Memory
-2.2MiB live, 197.6MiB allocated; 34ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
950-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
490-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
140-0-(/.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))
10-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
00-0-a
00-0-#s(literal 3 binary64)
00-0-(*.f64 (*.f64 #s(literal 3 binary64) a) c)
00-0-(*.f64 b b)
00-0-c
00-0-(neg.f64 b)
00-0-b
00-0-(*.f64 #s(literal 3 binary64) a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))oflow-rescue920
↳(*.f64 b b)overflow79
↳(*.f64 (*.f64 #s(literal 3 binary64) a) c)overflow17
↳(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))overflow92
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))cancellation490
/.f64(/.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))u/n140
↳(*.f64 (*.f64 #s(literal 3 binary64) a) c)underflow31
↳(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))underflow3
↳(*.f64 b b)underflow40
↳(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))underflow25
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))uflow-rescue30
↳(*.f64 b b)underflow40
↳(*.f64 (*.f64 #s(literal 3 binary64) a) c)underflow31
↳(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))underflow3
-.f64(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))nan-rescue10
↳(*.f64 b b)overflow79
↳(*.f64 (*.f64 #s(literal 3 binary64) a) c)overflow17
Confusion
Predicted +Predicted -
+1110
-20125
Precision
0.8473282442748091
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11100
-200125
Precision?
0.8473282442748091
Recall?
1.0
Freqs
test
numberfreq
0125
1104
226
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
41.0ms364×0valid
14.0ms72×2valid
9.0ms62×1valid
3.0ms14×3valid
Compiler

Compiled 153 to 40 computations (73.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-div!: 19.0ms (43% of total)
ival-mult!: 9.0ms (20.4% of total)
ival-sqrt: 6.0ms (13.6% of total)
adjust: 4.0ms (9% of total)
ival-sub!: 2.0ms (4.5% of total)
ival-add!: 2.0ms (4.5% of total)
ival-neg: 2.0ms (4.5% of total)

preprocess22.0ms (0.6%)

Memory
24.6MiB live, 24.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053175
1167168
2475168
3920168
41418168
51594168
61646168
Stop Event
1×saturated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶58.4%
(/.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 34 to 24 computations (29.4% saved)

series31.0ms (0.8%)

Memory
-8.6MiB live, 36.6MiB allocated; 5ms collecting garbage
Counts
12 → 107
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 (* -1/2 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (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 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 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 (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#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 (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))))
#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 (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#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 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (- (pow b 2) (* 3 (* a c)))))
#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 (+ (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)))
#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 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#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 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
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)
4.0ms
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
c
@-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
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
c
@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)

rewrite141.0ms (3.6%)

Memory
28.2MiB live, 120.2MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06824687
06964375
039064140
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
119 → 157
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 (* -1/2 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (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 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 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 (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#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 (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))))
#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 (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#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 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (- (pow b 2) (* 3 (* a c)))))
#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 (+ (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)))
#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 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#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 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (- (* b b) (* (* 3 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))))
Outputs
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64)) a)
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) (neg.f64 (*.f64 a #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b 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 (-.f64 (*.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))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.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)))) (*.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))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (*.f64 (*.f64 a #s(literal 3 binary64)) c))) (fma.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))) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (*.f64 b b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (*.f64 (*.f64 a #s(literal 3 binary64)) c) (*.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 #s(literal -3 binary64) (*.f64 c a)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)) (*.f64 b b)))))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) c))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 c a)))
(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 (*.f64 #s(literal -3 binary64) a) c (*.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 (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)))
(-.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 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 b #s(literal 2 binary64))
(exp.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 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#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 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a 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 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 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 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 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)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.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)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) a))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 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 (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 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))))
#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) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c 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 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) a))) a))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) a)) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a)))
#s(approx (- (* b b) (* (* 3 a) c)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) (*.f64 c #s(literal 3 binary64))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.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 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.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)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -3 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 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) 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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) (*.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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (*.f64 b b))) (*.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 (* b b) (*.f64 b b))
#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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #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 (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #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)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))))) 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 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.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 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #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 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b))
#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 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 1 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b))
#s(approx c c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (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 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (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 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 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)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c))) c))) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c)) b) c) #s(literal -1 binary64) (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 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c)))
#s(approx (- (* b b) (* (* 3 a) c)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64) (*.f64 a #s(literal 3 binary64))) c)))

eval22.0ms (0.6%)

Memory
-13.3MiB live, 32.2MiB allocated; 3ms collecting garbage
Compiler

Compiled 5 861 to 935 computations (84% saved)

prune14.0ms (0.4%)

Memory
-25.2MiB live, 21.4MiB allocated; 2ms collecting garbage
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New14917166
Fresh000
Picked101
Done000
Total15017167
Accuracy
99.6%
Counts
167 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶58.5%
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64)) a)
39.2%
(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.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)))) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))))) (*.f64 #s(literal 3 binary64) a))
58.4%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
39.8%
(/.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))
56.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal 3 binary64))) a)))) (*.f64 #s(literal 3 binary64) a))
39.9%
(/.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))
9.5%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
26.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
37.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
33.1%
(/.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))
▶23.2%
#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))))
26.3%
#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))
30.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
19.2%
#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)))
▶17.0%
#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)))
▶36.3%
#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))))
▶37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
Compiler

Compiled 910 to 622 computations (31.6% saved)

series59.0ms (1.5%)

Memory
24.4MiB live, 71.8MiB allocated; 9ms collecting garbage
Counts
35 → 207
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64)) a)
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
#s(literal -1 binary64)
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)
#s(literal 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 (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 -1/3 binary64)
#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 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))
(neg.f64 b)
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
(/.f64 c (*.f64 b b))
#s(literal -1/2 binary64)
(/.f64 #s(literal 2/3 binary64) a)
#s(literal 2/3 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))))
(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(literal 1/3 binary64)
(*.f64 (/.f64 b a) #s(literal -1/3 binary64))
Outputs
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (+ b (* -1 b)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (* -1 b))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 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 (/ (+ (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 b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))
#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 (* (/ c a) -3)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -3))))
#s(approx (* (/ c a) -3) #s(hole binary64 (* -3 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (/ 2/3 a)))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)))
#s(approx (/ 2/3 a) #s(hole binary64 (/ 2/3 a)))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (/ (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) a)))
#s(approx (* (/ b a) -1/3) #s(hole binary64 (* -1/3 (/ b a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* 1/2 (/ c b))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (* -1/2 (/ c (pow b 2)))))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))))
#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 (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx b #s(hole binary64 b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))))
#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 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))))
#s(approx (/ c (* b b)) #s(hole binary64 (/ c (pow b 2))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/2 (/ (* a c) b))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* -1/3 (/ b a))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* b (- (* 1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -2/3 b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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)))
#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 (* -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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* -1 (* b (+ (* -1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#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 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
Calls

9 calls:

TimeVariablePointExpression
16.0ms
c
@0
((/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) -1 b (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) 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 (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ c (* b b)) -1/2 (/ 2/3 a) 2/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) 1/3 (* (/ b a) -1/3))
7.0ms
a
@0
((/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) -1 b (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) 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 (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ c (* b b)) -1/2 (/ 2/3 a) 2/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) 1/3 (* (/ b a) -1/3))
5.0ms
c
@-inf
((/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) -1 b (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) 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 (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ c (* b b)) -1/2 (/ 2/3 a) 2/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) 1/3 (* (/ b a) -1/3))
5.0ms
a
@-inf
((/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) -1 b (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) 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 (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ c (* b b)) -1/2 (/ 2/3 a) 2/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) 1/3 (* (/ b a) -1/3))
4.0ms
c
@inf
((/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) -1 b (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) 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 (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ c (* b b)) -1/2 (/ 2/3 a) 2/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) 1/3 (* (/ b a) -1/3))

rewrite180.0ms (4.6%)

Memory
24.8MiB live, 159.7MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09798585
010147986
056327754
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
242 → 319
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64)) a)
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
#s(literal -1 binary64)
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)
#s(literal 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 (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 -1/3 binary64)
#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 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))
(neg.f64 b)
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
(/.f64 c (*.f64 b b))
#s(literal -1/2 binary64)
(/.f64 #s(literal 2/3 binary64) a)
#s(literal 2/3 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))))
(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(literal 1/3 binary64)
(*.f64 (/.f64 b a) #s(literal -1/3 binary64))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (+ b (* -1 b)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (* -1 b))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 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 (/ (+ (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 b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))
#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 (* (/ c a) -3)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -3))))
#s(approx (* (/ c a) -3) #s(hole binary64 (* -3 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (/ 2/3 a)))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)))
#s(approx (/ 2/3 a) #s(hole binary64 (/ 2/3 a)))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (/ (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) a)))
#s(approx (* (/ b a) -1/3) #s(hole binary64 (* -1/3 (/ b a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* 1/2 (/ c b))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (* -1/2 (/ c (pow b 2)))))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))))
#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 (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx b #s(hole binary64 b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))))
#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 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))))
#s(approx (/ c (* b b)) #s(hole binary64 (/ c (pow b 2))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/2 (/ (* a c) b))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/ (+ (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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* -1/3 (/ b a))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* b (- (* 1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -2/3 b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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)))
#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 (* -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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* -1 (* b (+ (* -1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#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 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
Outputs
(/.f64 (neg.f64 (/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) #s(literal 3 binary64))) (neg.f64 a))
(/.f64 (/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) #s(literal 3 binary64)) a)
(/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (neg.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))))) #s(literal -3 binary64))
(/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) #s(literal 3 binary64))
(+.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(literal -1 binary64)
b
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 b b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (*.f64 a #s(literal -3 binary64)) c) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 b b)))))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 a #s(literal -3 binary64)) c))
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 a #s(literal -3 binary64)) c))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))
(-.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (neg.f64 b) b))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) c))
(+.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 b b))
(*.f64 a #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) a)
#s(literal -3 binary64)
a
c
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
#s(literal 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 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -3 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 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)))
(*.f64 (/.f64 c a) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (/.f64 c a))
(/.f64 (*.f64 c #s(literal -3 binary64)) a)
(/.f64 (neg.f64 c) (neg.f64 a))
(/.f64 c a)
#s(literal -1/3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) b) #s(literal -1 binary64))
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) b))
(neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) b))
(fma.f64 (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)) (neg.f64 b) (*.f64 (/.f64 #s(literal 2/3 binary64) a) (neg.f64 b)))
(fma.f64 (neg.f64 b) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)) (*.f64 (neg.f64 b) (/.f64 #s(literal 2/3 binary64) a)))
(+.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)) (neg.f64 b)) (*.f64 (/.f64 #s(literal 2/3 binary64) a) (neg.f64 b)))
(+.f64 (*.f64 (neg.f64 b) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))) (*.f64 (neg.f64 b) (/.f64 #s(literal 2/3 binary64) a)))
(*.f64 b #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) b)
(neg.f64 b)
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 2/3 binary64) a) (/.f64 #s(literal 2/3 binary64) a))) (-.f64 (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)) (/.f64 #s(literal 2/3 binary64) a)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 2/3 binary64) a) (/.f64 #s(literal 2/3 binary64) a)) (*.f64 (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)) (/.f64 #s(literal 2/3 binary64) a)))))
(fma.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 binary64) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
(fma.f64 #s(literal 2/3 binary64) (pow.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal 2/3 binary64) a))
(-.f64 (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)) (*.f64 #s(literal -2/3 binary64) (pow.f64 a #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 2/3 binary64) a) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)) (/.f64 #s(literal 2/3 binary64) a))
(/.f64 (neg.f64 c) (neg.f64 (*.f64 b b)))
(/.f64 (/.f64 c b) b)
(/.f64 c (*.f64 b b))
#s(literal -1/2 binary64)
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) (pow.f64 a #s(literal -1 binary64)))
(/.f64 #s(literal 2/3 binary64) a)
(/.f64 #s(literal -2/3 binary64) (neg.f64 a))
#s(literal 2/3 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))))
(/.f64 (-.f64 (*.f64 (*.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))) (*.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) (*.f64 (*.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)))) (-.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.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)) (-.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) (*.f64 (*.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))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) (-.f64 (*.f64 (*.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))) (*.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))
(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)))
(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))
(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)))
(-.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (*.f64 (/.f64 (neg.f64 b) a) #s(literal -1/3 binary64)))
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
(+.f64 (*.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)))
(+.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(literal 1/3 binary64)
(*.f64 (/.f64 b a) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 b a))
(/.f64 (*.f64 #s(literal -1/3 binary64) b) a)
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))) a))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))) a))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))) a))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal 0 binary64) b))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (+.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b) (neg.f64 b)) b))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 #s(literal 0 binary64) b (*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 #s(literal 0 binary64) b (*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) b)
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b) b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b))
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 b b))
#s(approx (+ (* (* -3 a) c) (* b b)) (fma.f64 b b (*.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 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#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 (* (/ c a) -3)) -1/3) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (sqrt (* (/ c a) -3)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))
#s(approx (* (/ c a) -3) (*.f64 (/.f64 c a) #s(literal -3 binary64)))
#s(approx (/ c a) (/.f64 c a))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b) (*.f64 #s(literal -2/3 binary64) b)) a))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -1/2 binary64) #s(literal 2/3 binary64)) a))
#s(approx (/ 2/3 a) (/.f64 #s(literal 2/3 binary64) a))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b)) a))
#s(approx (* (/ b a) -1/3) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (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))) a))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) a))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))) a))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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 a #s(literal -3 binary64)) c))
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) 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 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 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 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) b)) a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) a))) a))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal -1/3 binary64)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) a)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/3 binary64) b)) a))) a)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) a))) a))) a)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) a)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal -1/2 binary64) (neg.f64 b)) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) a) #s(literal -1 binary64) (neg.f64 b)) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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 (/ (+ (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 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))))
#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) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c 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 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) a))) a))))
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (sqrt (* (/ c a) -3)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/3 binary64)) b (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) b) #s(literal 1/3 binary64)) b (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx b b)
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (* b b) (*.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.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 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b))
#s(approx (neg b) (neg.f64 b))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal 2/3 binary64) (*.f64 #s(literal -1/2 binary64) c)) (*.f64 b b)))
#s(approx (/ c (* b b)) (/.f64 (/.f64 c b) b))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))) b))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))))) b))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))) b))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #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)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))))) b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c 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 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #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 (/.f64 c 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 (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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 c b) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) a)) b))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) b) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) a)) b))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -1/2 binary64) #s(literal 2/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -1/2 binary64) #s(literal 2/3 binary64)) (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)) (*.f64 b b)))) #s(literal 2/3 binary64))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #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))) (neg.f64 b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c 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 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #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)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) b) #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (/.f64 c b) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 #s(literal 0 binary64) b (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 #s(literal 0 binary64) b (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b))
#s(approx c c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) c))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/24 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) c))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) c))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 c a)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/2 binary64))) c))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/6 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c))) c)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c))) c))) c)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c))) c)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/3 binary64) b)) c))) c)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) c))) c))) c)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)) c)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal -1/2 binary64) (neg.f64 b)) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c) #s(literal -1 binary64) (neg.f64 b)) c) #s(literal -1 binary64) (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 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c))) c))) c)))
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (sqrt (* (/ c a) -3)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)) (/.f64 #s(literal 1/2 binary64) b)) c)))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) c)))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c)))

eval50.0ms (1.3%)

Memory
-27.8MiB live, 66.4MiB allocated; 14ms collecting garbage
Compiler

Compiled 13 722 to 1 591 computations (88.4% saved)

prune28.0ms (0.7%)

Memory
3.7MiB live, 49.1MiB allocated; 4ms collecting garbage
Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New35119370
Fresh4812
Picked235
Done000
Total35730387
Accuracy
99.8%
Counts
387 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶58.5%
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64)) a)
37.1%
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
32.7%
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 3 binary64)) a)
58.4%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
39.8%
(/.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))
56.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal 3 binary64))) a)))) (*.f64 #s(literal 3 binary64) a))
39.9%
(/.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))
▶9.5%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
20.5%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) a)
24.1%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a)
32.6%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))) a)
37.0%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
26.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
37.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
▶33.1%
(/.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))
26.3%
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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))
30.9%
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
19.2%
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
✓23.2%
#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))))
21.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (sqrt (* (/ c a) -3)) (neg.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))))
17.1%
#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)))
✓17.0%
#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 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal 2/3 binary64) (*.f64 #s(literal -1/2 binary64) c)) (*.f64 b b)))))
37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
✓37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
16.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
36.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
26.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b)))
▶30.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
▶9.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
Compiler

Compiled 1 688 to 1 217 computations (27.9% saved)

series44.0ms (1.1%)

Memory
23.7MiB live, 68.5MiB allocated; 5ms collecting garbage
Counts
35 → 263
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64)) a)
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))
#s(literal -1 binary64)
b
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(*.f64 c a)
c
a
#s(literal -3 binary64)
(*.f64 b b)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b))
#s(literal 1/2 binary64)
(/.f64 c b)
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b))
(neg.f64 b)
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)
(*.f64 #s(literal 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))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))
(sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))
(*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)
(fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 (/.f64 b a) c)
(/.f64 b a)
#s(literal -2/3 binary64)
(/.f64 #s(literal 1/2 binary64) b)
Outputs
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* 1/3 (+ b (* -1 b)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (+ b (* -1 b))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 b))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* (* c a) -3) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* c a) -3) (* b b)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#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 b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)))
#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 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))))
#s(approx (* 3 a) #s(hole binary64 (* 3 a)))
#s(approx (sqrt (* -3 (* c a))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (* -3 (* c a)) #s(hole binary64 (* -3 (* a c))))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) #s(hole binary64 (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) #s(hole binary64 (* -2/3 (/ b (* a c)))))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) #s(hole binary64 (/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)))
#s(approx (/ (/ b a) c) #s(hole binary64 (/ b (* a c))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (+ (* (* c a) -3) (* b b)) #s(hole binary64 (* -3 (* a c))))
#s(approx (+ (* (* c a) -3) (* 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 (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* 1/2 (/ c b))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) #s(hole binary64 (* 1/2 (/ c b))))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) #s(hole binary64 (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) #s(hole binary64 (/ 1/2 b)))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) #s(hole binary64 (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (+ (* (* c a) -3) (* 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 (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (sqrt (* -3 (* c a))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx b #s(hole binary64 b))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))))
#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 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)))
#s(approx (* 1/2 (/ c b)) #s(hole binary64 (* 1/2 (/ c b))))
#s(approx (/ c b) #s(hole binary64 (/ c b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) #s(hole binary64 (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) #s(hole binary64 (/ (+ 1/2 (* -2/3 (/ (pow b 2) (* a c)))) b)))
#s(approx (/ 1/2 b) #s(hole binary64 (/ 1/2 b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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 (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1/2 (/ (* a c) b))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b 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 (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b 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 (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* (* c a) -3) (* 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 (+ (* (* c a) -3) (* 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 (+ (* (* c a) -3) (* 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 (/ (+ (* -1/2 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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))
#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 a) c) -2/3) (/ 1/2 b)) c) #s(hole binary64 (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) #s(hole binary64 (* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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 (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -2/3 b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b 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 (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b 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 (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* 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 (+ (* (* c a) -3) (* 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 (* -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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 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)))) #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)))
#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 (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) #s(hole binary64 (* -1 (* b (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) #s(hole binary64 (/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (+ (* (* c a) -3) (* 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 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) #s(hole binary64 (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (+ (* (* c a) -3) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) #s(hole binary64 (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
b
@-inf
((/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) -1 b (sqrt (+ (* (* c a) -3) (* b b))) (+ (* (* c a) -3) (* b b)) (* c a) c a -3 (* b b) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (* 1/2 (/ c b)) 1/2 (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (* 3 a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (* -3 (* c a))) (* -3 (* c a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (/ (/ b a) c) (/ b a) -2/3 (/ 1/2 b))
4.0ms
c
@-inf
((/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) -1 b (sqrt (+ (* (* c a) -3) (* b b))) (+ (* (* c a) -3) (* b b)) (* c a) c a -3 (* b b) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (* 1/2 (/ c b)) 1/2 (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (* 3 a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (* -3 (* c a))) (* -3 (* c a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (/ (/ b a) c) (/ b a) -2/3 (/ 1/2 b))
4.0ms
c
@inf
((/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) -1 b (sqrt (+ (* (* c a) -3) (* b b))) (+ (* (* c a) -3) (* b b)) (* c a) c a -3 (* b b) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (* 1/2 (/ c b)) 1/2 (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (* 3 a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (* -3 (* c a))) (* -3 (* c a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (/ (/ b a) c) (/ b a) -2/3 (/ 1/2 b))
4.0ms
a
@-inf
((/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) -1 b (sqrt (+ (* (* c a) -3) (* b b))) (+ (* (* c a) -3) (* b b)) (* c a) c a -3 (* b b) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (* 1/2 (/ c b)) 1/2 (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (* 3 a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (* -3 (* c a))) (* -3 (* c a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (/ (/ b a) c) (/ b a) -2/3 (/ 1/2 b))
4.0ms
b
@inf
((/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) -1 b (sqrt (+ (* (* c a) -3) (* b b))) (+ (* (* c a) -3) (* b b)) (* c a) c a -3 (* b b) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (* 1/2 (/ c b)) 1/2 (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (* 3 a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (* -3 (* c a))) (* -3 (* c a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (/ (/ b a) c) (/ b a) -2/3 (/ 1/2 b))

rewrite236.0ms (6.1%)

Memory
-20.7MiB live, 234.1MiB allocated; 75ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107911357
0111110602
1601110451
0814810115
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
298 → 382
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64)) a)
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))
#s(literal -1 binary64)
b
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(*.f64 c a)
c
a
#s(literal -3 binary64)
(*.f64 b b)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b))
#s(literal 1/2 binary64)
(/.f64 c b)
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b))
(neg.f64 b)
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)
(*.f64 #s(literal 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))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))))
(sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))
(*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)
(fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 (/.f64 b a) c)
(/.f64 b a)
#s(literal -2/3 binary64)
(/.f64 #s(literal 1/2 binary64) b)
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* 1/3 (+ b (* -1 b)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (+ b (* -1 b))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 b))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* (* c a) -3) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* c a) -3) (* b b)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#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 b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)))
#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 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))))
#s(approx (* 3 a) #s(hole binary64 (* 3 a)))
#s(approx (sqrt (* -3 (* c a))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (* -3 (* c a)) #s(hole binary64 (* -3 (* a c))))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) #s(hole binary64 (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) #s(hole binary64 (* -2/3 (/ b (* a c)))))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) #s(hole binary64 (/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)))
#s(approx (/ (/ b a) c) #s(hole binary64 (/ b (* a c))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (+ (* (* c a) -3) (* b b)) #s(hole binary64 (* -3 (* a c))))
#s(approx (+ (* (* c a) -3) (* 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 (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* 1/2 (/ c b))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) #s(hole binary64 (* 1/2 (/ c b))))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) #s(hole binary64 (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) #s(hole binary64 (/ 1/2 b)))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) #s(hole binary64 (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (+ (* (* c a) -3) (* 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 (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (sqrt (* -3 (* c a))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx b #s(hole binary64 b))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))))
#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 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)))
#s(approx (* 1/2 (/ c b)) #s(hole binary64 (* 1/2 (/ c b))))
#s(approx (/ c b) #s(hole binary64 (/ c b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) #s(hole binary64 (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) #s(hole binary64 (/ (+ 1/2 (* -2/3 (/ (pow b 2) (* a c)))) b)))
#s(approx (/ 1/2 b) #s(hole binary64 (/ 1/2 b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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 (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1/2 (/ (* a c) b))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b 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 (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b 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 (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* (* c a) -3) (* 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 (+ (* (* c a) -3) (* 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 (+ (* (* c a) -3) (* 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 (/ (+ (* -1/2 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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))
#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 a) c) -2/3) (/ 1/2 b)) c) #s(hole binary64 (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) #s(hole binary64 (* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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 (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -2/3 b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b 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 (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b 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 (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* 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 (+ (* (* c a) -3) (* 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 (* -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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 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)))) #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)))
#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 (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) #s(hole binary64 (* -1 (* b (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) #s(hole binary64 (/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (+ (* (* c a) -3) (* 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 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) #s(hole binary64 (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (+ (* (* c a) -3) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) #s(hole binary64 (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))))
Outputs
(/.f64 (neg.f64 (/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64))) (neg.f64 a))
(/.f64 (/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64)) a)
(/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (neg.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) #s(literal -3 binary64))
(/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64))
(+.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (-.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 2 binary64)) (*.f64 (neg.f64 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))))
(fma.f64 #s(literal -1 binary64) b (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))))
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#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (/.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))) a))
#s(approx (/ (/ b a) c) (/.f64 (/.f64 b a) c))
#s(approx (/ b a) (/.f64 b a))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) a))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) a))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))) a))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)) a))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))) #s(literal -1/2 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a))
#s(approx (+ (* (* c a) -3) (* b b)) (*.f64 (*.f64 #s(literal -3 binary64) a) c))
#s(approx (+ (* (* c a) -3) (* 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 (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 #s(literal -1/3 binary64) (/.f64 b a))))
#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 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 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 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.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)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) a))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))) #s(literal -1/2 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (/.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) b)) a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) a))) a))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a))) a)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) b)) a))) a)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) a))) a))) a)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a)) a)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 b)) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) a) #s(literal -1 binary64) (neg.f64 b)) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a)))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64))) (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))) #s(literal -1/2 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a)))
#s(approx (+ (* (* c a) -3) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) 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)) (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a))))
#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) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) b)) a))))
#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) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) a))) a))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a)) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) a)) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64))) (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))) #s(literal -1/2 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a)))
#s(approx (sqrt (* -3 (* c a))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/3 binary64)) b (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))) b) #s(literal 1/3 binary64)) b (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 a c)) (neg.f64 b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx b b)
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -3 binary64)))) (pow.f64 #s(literal -3 binary64) #s(literal -3/2 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -5 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (* b b) (*.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.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 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b))
#s(approx (* 1/2 (/ c b)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
#s(approx (/ c b) (/.f64 c b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 a c)) (neg.f64 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (neg b) (neg.f64 b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -3 binary64)))) (pow.f64 #s(literal -3 binary64) #s(literal -3/2 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -5 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) c) #s(literal -2/3 binary64) #s(literal 1/2 binary64)) b))
#s(approx (/ 1/2 b) (/.f64 #s(literal 1/2 binary64) b))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 405/64 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (*.f64 b b))) b))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (*.f64 b b)))) b))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (*.f64 b b))))) b))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (/.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (*.f64 b b))) b))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (*.f64 b b)))) b))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (*.f64 b b))))) b))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) b))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) b))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (*.f64 b b)))) #s(literal 1 binary64)) b))
#s(approx (+ (* (* c a) -3) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c 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 (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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 405/64 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 c b) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) a)) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (*.f64 b b))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (*.f64 b b)))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (*.f64 b b))))) b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c 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 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (*.f64 b b)))) #s(literal 1 binary64)) b))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 c b) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) a)) b))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -1/2 binary64) #s(literal 2/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -1/2 binary64) #s(literal 2/3 binary64)) (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b b)))) #s(literal 2/3 binary64))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (neg.f64 b))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (*.f64 b b)))) #s(literal 1 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c 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 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 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 (/.f64 c 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 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c 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 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (*.f64 b b)))) #s(literal 1 binary64))))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 a c)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (fma.f64 (/.f64 c b) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (fma.f64 #s(literal 0 binary64) b (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (fma.f64 #s(literal 0 binary64) b (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b))
#s(approx c c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b))
#s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 b a) c))) c))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 b a) c) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64))))) c))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 b a) c) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) c))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b c))) c))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b c) (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/24 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) c))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c))
#s(approx (+ (* (* c a) -3) (* 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 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 b a) c))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 b a) c) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64))))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 b a) c) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 a c) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) c))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (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 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (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 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 (*.f64 a c) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) c))) c)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c))) c))) c)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c))) c)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) b)) c))) c)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c))) c))) c)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)) c)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 b)) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) c) #s(literal -1 binary64) (neg.f64 b)) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c)))
#s(approx (sqrt (+ (* (* c a) -3) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c)))
#s(approx (+ (* (* c a) -3) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 (*.f64 a c) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 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 #s(literal 1/3 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c))) c))) c)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)) (/.f64 #s(literal 1/2 binary64) b)) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 a c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) c)) b) c) #s(literal -1 binary64) (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 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (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 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (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 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c)))
#s(approx (* (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) c) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)) (/.f64 #s(literal 1/2 binary64) b)) c)))

eval75.0ms (1.9%)

Memory
-18.4MiB live, 69.9MiB allocated; 11ms collecting garbage
Compiler

Compiled 16 416 to 1 831 computations (88.8% saved)

prune27.0ms (0.7%)

Memory
39.4MiB live, 39.4MiB allocated; 0ms collecting garbage
Pruning

32 alts after pruning (25 fresh and 7 done)

PrunedKeptTotal
New40515420
Fresh121022
Picked145
Done033
Total41832450
Accuracy
99.8%
Counts
450 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓58.5%
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64)) a)
37.1%
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
32.7%
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)) a)
▶58.4%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
39.8%
(/.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))
39.9%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
✓9.5%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
20.5%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b c))) c)) a)
24.1%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))) a)
32.6%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) a)
37.0%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
26.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
37.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
▶32.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a))) (*.f64 #s(literal 3 binary64) a))
32.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a))
✓33.1%
(/.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))
26.3%
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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))
30.9%
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
19.2%
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
✓23.2%
#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))))
21.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (sqrt (* (/ c a) -3)) (neg.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))))
▶17.1%
#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)))
✓17.0%
#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 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal 2/3 binary64) (*.f64 #s(literal -1/2 binary64) c)) (*.f64 b b)))))
37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
✓37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
▶16.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
36.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))))
26.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b)))
▶30.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
30.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
✓9.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
Compiler

Compiled 1 741 to 1 254 computations (28% saved)

series55.0ms (1.4%)

Memory
-30.3MiB live, 68.1MiB allocated; 12ms collecting garbage
Counts
37 → 221
Calls
Call 1
Inputs
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) 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)
(*.f64 #s(literal 3 binary64) 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) (* (/ b a) -1/3)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))
(*.f64 (/.f64 b a) #s(literal -1/3 binary64))
(/.f64 b a)
#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)))
(*.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))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a))) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a)))
(sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a))
(*.f64 (*.f64 #s(literal -3 binary64) c) a)
(*.f64 #s(literal -3 binary64) c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)))
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
(*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))
(/.f64 (/.f64 b a) c)
#s(literal -2/3 binary64)
Outputs
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (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 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 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 (* 3 a) #s(hole binary64 (* 3 a)))
#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 b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (/ (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) a)))
#s(approx (* (/ b a) -1/3) #s(hole binary64 (* -1/3 (/ b a))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -3))))
#s(approx (/ (* c -3) a) #s(hole binary64 (* -3 (/ c a))))
#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 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (* (* -3 c) a)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (* (* -3 c) a) #s(hole binary64 (* -3 (* a c))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) #s(hole binary64 (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) #s(hole binary64 (* -2/3 (/ b (* a c)))))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) #s(hole binary64 (/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)))
#s(approx (* (/ (/ b a) c) -2/3) #s(hole binary64 (* -2/3 (/ b (* a c)))))
#s(approx (/ (/ b a) c) #s(hole binary64 (/ b (* a c))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* 1/2 (/ c b))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) #s(hole binary64 (* 1/2 (/ c b))))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) #s(hole binary64 (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) #s(hole binary64 (/ 1/2 b)))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) #s(hole binary64 (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))))
#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 (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (* (* -3 c) a)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#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 (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) #s(hole binary64 (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) #s(hole binary64 (/ (+ 1/2 (* -2/3 (/ (pow b 2) (* a c)))) b)))
#s(approx (/ 1/2 b) #s(hole binary64 (/ 1/2 b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #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)) (* 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 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 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 (+ (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 (/ (+ (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 (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* -1/3 (/ b a))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* b (- (* 1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a))))))
#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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) #s(hole binary64 (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) #s(hole binary64 (* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #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)) (* 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 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 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 (+ (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)))
#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 (* -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 (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* -1 (* b (+ (* -1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 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 (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) #s(hole binary64 (* -1 (* b (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))))
#s(approx (* c -3) #s(hole binary64 (* -3 c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))))
#s(approx (* -3 c) #s(hole binary64 (* -3 c)))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) #s(hole binary64 (/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#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 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) #s(hole binary64 (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) #s(hole binary64 (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))))
Calls

9 calls:

TimeVariablePointExpression
12.0ms
a
@inf
((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 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 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (* (/ b a) -1/3) (/ b a) -1/3 (/ (+ (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) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (* (* -3 c) a)) (* (* -3 c) a) (* -3 c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (/ 1/2 b) 1/2 (* (/ (/ b a) c) -2/3) (/ (/ b a) c) -2/3)
10.0ms
c
@-inf
((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 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 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (* (/ b a) -1/3) (/ b a) -1/3 (/ (+ (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) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (* (* -3 c) a)) (* (* -3 c) a) (* -3 c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (/ 1/2 b) 1/2 (* (/ (/ b a) c) -2/3) (/ (/ b a) c) -2/3)
4.0ms
a
@-inf
((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 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 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (* (/ b a) -1/3) (/ b a) -1/3 (/ (+ (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) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (* (* -3 c) a)) (* (* -3 c) a) (* -3 c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (/ 1/2 b) 1/2 (* (/ (/ b a) c) -2/3) (/ (/ b a) c) -2/3)
4.0ms
c
@inf
((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 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 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (* (/ b a) -1/3) (/ b a) -1/3 (/ (+ (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) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (* (* -3 c) a)) (* (* -3 c) a) (* -3 c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (/ 1/2 b) 1/2 (* (/ (/ b a) c) -2/3) (/ (/ b a) c) -2/3)
4.0ms
a
@0
((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 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 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (* (/ b a) -1/3) (/ b a) -1/3 (/ (+ (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) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (* (* -3 c) a)) (* (* -3 c) a) (* -3 c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (/ 1/2 b) 1/2 (* (/ (/ b a) c) -2/3) (/ (/ b a) c) -2/3)

rewrite186.0ms (4.8%)

Memory
19.0MiB live, 156.5MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08969058
09298435
046358159
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
258 → 343
Calls
Call 1
Inputs
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) 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)
(*.f64 #s(literal 3 binary64) 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) (* (/ b a) -1/3)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))
(*.f64 (/.f64 b a) #s(literal -1/3 binary64))
(/.f64 b a)
#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)))
(*.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))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a))) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a)))
(sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a))
(*.f64 (*.f64 #s(literal -3 binary64) c) a)
(*.f64 #s(literal -3 binary64) c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)))
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
(*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))
(/.f64 (/.f64 b a) c)
#s(literal -2/3 binary64)
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (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 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 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 (* 3 a) #s(hole binary64 (* 3 a)))
#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 b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (/ (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) a)))
#s(approx (* (/ b a) -1/3) #s(hole binary64 (* -1/3 (/ b a))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -3))))
#s(approx (/ (* c -3) a) #s(hole binary64 (* -3 (/ c a))))
#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 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (* (* -3 c) a)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (* (* -3 c) a) #s(hole binary64 (* -3 (* a c))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) #s(hole binary64 (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) #s(hole binary64 (* -2/3 (/ b (* a c)))))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) #s(hole binary64 (/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)))
#s(approx (* (/ (/ b a) c) -2/3) #s(hole binary64 (* -2/3 (/ b (* a c)))))
#s(approx (/ (/ b a) c) #s(hole binary64 (/ b (* a c))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* 1/2 (/ c b))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) #s(hole binary64 (* 1/2 (/ c b))))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) #s(hole binary64 (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) #s(hole binary64 (/ 1/2 b)))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) #s(hole binary64 (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))))
#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 (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (* (* -3 c) a)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#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 (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) #s(hole binary64 (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) #s(hole binary64 (/ (+ 1/2 (* -2/3 (/ (pow b 2) (* a c)))) b)))
#s(approx (/ 1/2 b) #s(hole binary64 (/ 1/2 b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #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)) (* 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 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 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 (+ (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 (/ (+ (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 (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* -1/3 (/ b a))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* b (- (* 1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a))))))
#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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) #s(hole binary64 (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) #s(hole binary64 (* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #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)) (* 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 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 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 (+ (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)))
#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 (* -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 (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* -1 (* b (+ (* -1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 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 (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) #s(hole binary64 (* -1 (* b (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))))
#s(approx (* c -3) #s(hole binary64 (* -3 c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))))
#s(approx (* -3 c) #s(hole binary64 (* -3 c)))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) #s(hole binary64 (/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#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 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) #s(hole binary64 (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (/ (* c -3) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) #s(hole binary64 (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))))
Outputs
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) #s(literal 3 binary64)) a)
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))))) (neg.f64 (*.f64 #s(literal 3 binary64) a)))
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 b b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (*.f64 a #s(literal -3 binary64)) c) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 b b)))))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 a #s(literal -3 binary64)) c))
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 a #s(literal -3 binary64)) c))
(fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(-.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (neg.f64 b) b))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) c))
(+.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 b b))
(*.f64 a #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) a)
#s(literal -3 binary64)
a
c
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 b #s(literal 2 binary64))
(exp.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)
(*.f64 #s(literal 3 binary64) a)
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))
(*.f64 #s(literal -1/3 binary64) (/.f64 b a))
(*.f64 (/.f64 b a) #s(literal -1/3 binary64))
(/.f64 (*.f64 #s(literal -1/3 binary64) b) a)
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 b 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)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -3 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #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 c #s(literal -3 binary64))) (sqrt.f64 a))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))
(*.f64 (/.f64 c a) #s(literal -3 binary64))
(*.f64 c (/.f64 #s(literal -3 binary64) a))
(*.f64 #s(literal -3 binary64) (/.f64 c a))
(/.f64 (neg.f64 (*.f64 c #s(literal -3 binary64))) (neg.f64 a))
(/.f64 (*.f64 c #s(literal -3 binary64)) a)
(*.f64 c #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) c)
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 3 binary64)) a)
(/.f64 (neg.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) (neg.f64 (*.f64 #s(literal 3 binary64) a)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))
(pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))
(*.f64 (*.f64 c #s(literal -3 binary64)) a)
(*.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 a (*.f64 c #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
(*.f64 c #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))
(*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)
(*.f64 c (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(fma.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)) c (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))
(fma.f64 c (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)) (*.f64 c (/.f64 #s(literal 1/2 binary64) b)))
(+.f64 (*.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)) c) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))
(+.f64 (*.f64 c (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) b) (-.f64 (*.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)) (/.f64 #s(literal 1/2 binary64) b)))))
(fma.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)))
(fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b))
(fma.f64 #s(literal -2/3 binary64) (/.f64 (/.f64 b a) c) (/.f64 #s(literal 1/2 binary64) b))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (neg.f64 (/.f64 (/.f64 b a) c)) #s(literal -2/3 binary64)))
(-.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)))
(+.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) b)
(/.f64 #s(literal -1/2 binary64) (neg.f64 b))
#s(literal 1/2 binary64)
(*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))
(*.f64 #s(literal -2/3 binary64) (/.f64 (/.f64 b a) c))
(/.f64 (*.f64 #s(literal -2/3 binary64) b) (*.f64 c a))
(/.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) c)
(/.f64 (/.f64 (neg.f64 b) a) (neg.f64 c))
(/.f64 (/.f64 b a) c)
(/.f64 (neg.f64 b) (neg.f64 (*.f64 c a)))
(/.f64 b (*.f64 c a))
#s(literal -2/3 binary64)
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#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 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) b)
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b))
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 b b))
#s(approx (+ (* (* -3 a) c) (* b b)) (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
#s(approx (* -3 a) (*.f64 a #s(literal -3 binary64)))
#s(approx a a)
#s(approx (* 3 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b)) a))
#s(approx (* (/ b a) -1/3) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))
#s(approx (/ b a) (/.f64 b a))
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (sqrt (/ (* c -3) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))
#s(approx (/ (* c -3) a) (*.f64 (/.f64 c a) #s(literal -3 binary64)))
#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 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a))
#s(approx (sqrt (* (* -3 c) a)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
#s(approx (* (* -3 c) a) (*.f64 (*.f64 a #s(literal -3 binary64)) c))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) a))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) a))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (/.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))) a))
#s(approx (* (/ (/ b a) c) -2/3) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64)))
#s(approx (/ (/ b a) c) (/.f64 (/.f64 b a) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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))) (neg b)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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 a #s(literal -3 binary64)) c))
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) 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 #s(literal -1/3 binary64) (/.f64 b a))))
#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) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 #s(literal -1 binary64) (/.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 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) (/.f64 b a))) a))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (/.f64 #s(literal 1/2 binary64) b))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) b)) a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) a))) a))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a)) a)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) a)) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 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 (/ (+ (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 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a))))
#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) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c 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 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) a))) a))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (sqrt (/ (* c -3) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a)) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) a)) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (sqrt (* (* -3 c) a)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (* b b) (*.f64 b b))
#s(approx b b)
#s(approx (neg b) (neg.f64 b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.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 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.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)))) (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) c) #s(literal -2/3 binary64) #s(literal 1/2 binary64)) b))
#s(approx (/ 1/2 b) (/.f64 #s(literal 1/2 binary64) b))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 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 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #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 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))) b))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #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)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))))) b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c 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 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 1 binary64)) b))
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c 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 (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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) b) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) a)) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #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)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))))) b))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 c b) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) a)) b))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 c b) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) a)) b))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 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 a (/.f64 (/.f64 c b) b)) #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 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c 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 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 1 binary64))))
#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 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #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) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) b) #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 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 (/.f64 c 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 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 c a)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b))
#s(approx c c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (* -3 c) (*.f64 c #s(literal -3 binary64)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))
#s(approx (* -3 c) (*.f64 c #s(literal -3 binary64)))
#s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (/.f64 (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (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 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (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 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) c))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (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 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)))) c))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) c))) c)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c))) c))) c)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)) c)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c)) b) c) #s(literal -1 binary64) (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 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #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 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c))) c))) c)))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c)))
#s(approx (* (sqrt (/ (* c -3) a)) -1/3) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (sqrt (/ (* c -3) a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c)) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)) (/.f64 #s(literal 1/2 binary64) b)) c)))
#s(approx (* (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) c) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)) (/.f64 #s(literal 1/2 binary64) b)) c)))

eval49.0ms (1.3%)

Memory
-18.0MiB live, 71.3MiB allocated; 18ms collecting garbage
Compiler

Compiled 14 645 to 1 509 computations (89.7% saved)

prune37.0ms (1%)

Memory
29.6MiB live, 75.1MiB allocated; 3ms collecting garbage
Pruning

32 alts after pruning (21 fresh and 11 done)

PrunedKeptTotal
New3657372
Fresh61420
Picked055
Done167
Total37232404
Accuracy
99.8%
Counts
404 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓58.5%
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64)) a)
37.1%
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
32.7%
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)) a)
✓58.4%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
39.9%
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
39.8%
(/.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))
✓9.5%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
20.5%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b c))) c)) a)
24.1%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))) a)
32.6%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) a)
37.0%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
26.1%
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
37.0%
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
32.7%
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
✓32.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a))) (*.f64 #s(literal 3 binary64) a))
✓33.1%
(/.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))
26.3%
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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))
30.9%
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
19.2%
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
✓23.2%
#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))))
21.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (sqrt (* (/ c a) -3)) (neg.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))))
✓17.1%
#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)))
17.1%
#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)))
18.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal 2/3 binary64) (*.f64 #s(literal -1/2 binary64) c)) (*.f64 b b)))))
37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
✓37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
✓16.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
36.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))))
26.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b)))
✓30.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
30.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
✓9.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
Compiler

Compiled 2 718 to 987 computations (63.7% saved)

regimes91.0ms (2.3%)

Memory
-10.8MiB live, 138.3MiB allocated; 31ms collecting garbage
Counts
59 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.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)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b 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 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) 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))))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.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 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.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)) (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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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 (+.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 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal 2/3 binary64) (*.f64 #s(literal -1/2 binary64) c)) (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (sqrt (* (/ c a) -3)) (neg.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))))
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal 3 binary64))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b c))) c)) a)
(/.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 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.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)))) (*.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
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) #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

5 calls:

24.0ms
a
18.0ms
c
16.0ms
(*.f64 #s(literal 3 binary64) a)
15.0ms
b
13.0ms
(/.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
58.5%1(*.f64 #s(literal 3 binary64) a)
79.4%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))
58.5%1a
90.3%3b
58.5%1c
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes16.0ms (0.4%)

Memory
18.5MiB live, 18.4MiB allocated; 0ms collecting garbage
Counts
53 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.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)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b 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 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) 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))))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.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 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.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)) (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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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 (+.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 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal 2/3 binary64) (*.f64 #s(literal -1/2 binary64) c)) (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (sqrt (* (/ c a) -3)) (neg.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))))
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64)) a)
Outputs
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #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:

13.0ms
b
Results
AccuracySegmentsBranch
90.2%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes19.0ms (0.5%)

Memory
-27.6MiB live, 18.4MiB allocated; 3ms collecting garbage
Counts
52 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.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)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b 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 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) 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))))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.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 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.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)) (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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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 (+.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 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal 2/3 binary64) (*.f64 #s(literal -1/2 binary64) c)) (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (sqrt (* (/ c a) -3)) (neg.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))))
Outputs
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.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 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

16.0ms
b
Results
AccuracySegmentsBranch
90.2%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes15.0ms (0.4%)

Memory
17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Counts
49 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.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)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b 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 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) 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))))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.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 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.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)) (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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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))
Outputs
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #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 #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:

12.0ms
b
Results
AccuracySegmentsBranch
90.2%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes14.0ms (0.3%)

Memory
16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Counts
44 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.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)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b 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 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) 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))))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.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 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
Outputs
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (sqrt.f64 (*.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 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
86.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes17.0ms (0.4%)

Memory
-27.1MiB live, 18.7MiB allocated; 3ms collecting garbage
Counts
37 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.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)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b 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 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) 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))))
Outputs
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.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 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

15.0ms
b
Results
AccuracySegmentsBranch
86.4%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.2%)

Memory
15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.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)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b 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))
Outputs
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 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))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
86.4%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes20.0ms (0.5%)

Memory
-22.3MiB live, 24.6MiB allocated; 8ms collecting garbage
Counts
27 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.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)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 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)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(approx (+ (* (/ (/ b a) c) -2/3) (/ 1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(approx (+ (/ 1/2 b) (* (/ (/ b a) c) -2/3)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64))) c)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))))
Outputs
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#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 (/ (+ (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 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

2 calls:

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))
7.0ms
b
Results
AccuracySegmentsBranch
62.6%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))
75.7%4b
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes6.0ms (0.2%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Counts
17 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.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)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#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)))
Outputs
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#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 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
75.7%4b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.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)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#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)))
Outputs
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#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 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
71.7%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.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)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
Outputs
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #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:

4.0ms
b
Results
AccuracySegmentsBranch
65.6%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.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)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 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:

4.0ms
b
Results
AccuracySegmentsBranch
65.6%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.2%)

Memory
-36.9MiB live, 6.9MiB allocated; 4ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
Outputs
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.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:

6.0ms
b
Results
AccuracySegmentsBranch
65.6%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* c a) -3) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
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
65.5%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.2%)

Memory
22.5MiB live, 22.5MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 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)))
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)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
Calls

5 calls:

2.0ms
(*.f64 #s(literal 3 binary64) a)
2.0ms
a
2.0ms
c
2.0ms
b
2.0ms
(/.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
37.0%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))
37.0%1(*.f64 #s(literal 3 binary64) a)
37.0%1a
37.0%1c
43.4%2b
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes8.0ms (0.2%)

Memory
-29.1MiB live, 17.6MiB allocated; 2ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (sqrt (* (/ c a) -3)) 1/3) (* (/ b a) -1/3)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
Calls

5 calls:

2.0ms
c
1.0ms
(*.f64 #s(literal 3 binary64) a)
1.0ms
b
1.0ms
a
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
16.5%1c
16.5%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))
16.5%1(*.f64 #s(literal 3 binary64) a)
16.5%1a
22.8%2b
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes6.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB 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 (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
Calls

5 calls:

1.0ms
(*.f64 #s(literal 3 binary64) a)
1.0ms
c
1.0ms
b
1.0ms
a
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
9.3%1c
9.3%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))
9.3%1(*.f64 #s(literal 3 binary64) a)
9.3%1a
9.3%1b
Compiler

Compiled 23 to 26 computations (-13% saved)

bsearch39.0ms (1%)

Memory
16.2MiB live, 61.6MiB allocated; 4ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
25.0ms
3.3949570943499843e-41
9.464001878201535e-36
9.0ms
-6.05079646983762e+132
-9.2880814499428e+131
Samples
10.0ms169×0valid
8.0ms32×2valid
4.0ms36×1valid
2.0ms28×0invalid
1.0ms3×3valid
Compiler

Compiled 599 to 495 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
adjust: 5.0ms (30.2% of total)
ival-mult!: 4.0ms (24.2% of total)
ival-sqrt: 3.0ms (18.1% of total)
ival-div!: 2.0ms (12.1% of total)
ival-sub!: 1.0ms (6% of total)
ival-add!: 1.0ms (6% of total)
ival-neg: 1.0ms (6% of total)

bsearch2.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
1.0ms
3.3949570943499843e-41
9.464001878201535e-36
1.0ms
-6.05079646983762e+132
-9.2880814499428e+131
Compiler

Compiled 599 to 495 computations (17.4% saved)

bsearch21.0ms (0.5%)

Memory
-24.6MiB live, 30.2MiB allocated; 8ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.3949570943499843e-41
9.464001878201535e-36
18.0ms
-4.680431344596981e+73
-4.778460170454216e+68
Samples
12.0ms144×0valid
0.0ms6×0invalid
Compiler

Compiled 731 to 576 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult!: 2.0ms (38.8% of total)
ival-sqrt: 1.0ms (19.4% of total)
ival-neg: 1.0ms (19.4% of total)
ival-div!: 1.0ms (19.4% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch3.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.3949570943499843e-41
9.464001878201535e-36
1.0ms
-4.680431344596981e+73
-4.778460170454216e+68
Compiler

Compiled 713 to 594 computations (16.7% saved)

bsearch35.0ms (0.9%)

Memory
-3.9MiB live, 42.3MiB allocated; 4ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
3.3949570943499843e-41
9.464001878201535e-36
14.0ms
-4.321965186287071e-84
-8.730491559717243e-87
Samples
10.0ms172×0valid
6.0ms27×2valid
3.0ms24×1valid
2.0ms30×0invalid
0.0ms1×3valid
Compiler

Compiled 811 to 663 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult!: 4.0ms (33.7% of total)
ival-sqrt: 2.0ms (16.8% of total)
ival-div!: 2.0ms (16.8% of total)
adjust: 1.0ms (8.4% of total)
ival-sub!: 1.0ms (8.4% of total)
ival-add!: 1.0ms (8.4% of total)
ival-neg: 1.0ms (8.4% of total)

bsearch3.0ms (0.1%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.3949570943499843e-41
9.464001878201535e-36
1.0ms
-4.321965186287071e-84
-8.730491559717243e-87
Compiler

Compiled 811 to 663 computations (18.2% saved)

bsearch2.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.3949570943499843e-41
9.464001878201535e-36
1.0ms
-4.321965186287071e-84
-8.730491559717243e-87
Compiler

Compiled 811 to 663 computations (18.2% saved)

bsearch107.0ms (2.8%)

Memory
-12.9MiB live, 75.9MiB allocated; 10ms collecting garbage
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
4.513044800101434e-48
3.3949570943499843e-41
62.0ms
-6.465392408567921e-296
-3.877580151049297e-301
14.0ms
-4.321965186287071e-84
-8.730491559717243e-87
Samples
20.0ms340×0valid
8.0ms130×0invalid
4.0ms25×2valid
4.0ms35×1valid
Compiler

Compiled 1 313 to 1 023 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult!: 7.0ms (33.1% of total)
ival-sqrt: 4.0ms (18.9% of total)
ival-neg: 3.0ms (14.2% of total)
ival-div!: 3.0ms (14.2% of total)
adjust: 2.0ms (9.4% of total)
ival-sub!: 1.0ms (4.7% of total)
ival-add!: 1.0ms (4.7% of total)

bsearch4.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.513044800101434e-48
3.3949570943499843e-41
1.0ms
-6.465392408567921e-296
-3.877580151049297e-301
1.0ms
-4.321965186287071e-84
-8.730491559717243e-87
Compiler

Compiled 1 313 to 1 023 computations (22.1% saved)

bsearch19.0ms (0.5%)

Memory
28.9MiB live, 28.9MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
8.409232384456649e-153
5.876046704712334e-151
1.0ms
-4.321965186287071e-84
-8.730491559717243e-87
Samples
6.0ms95×0valid
2.0ms40×0invalid
1.0ms8×2valid
1.0ms9×1valid
Compiler

Compiled 747 to 589 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult!: 2.0ms (32.7% of total)
ival-sqrt: 1.0ms (16.4% of total)
ival-div!: 1.0ms (16.4% of total)
ival-neg: 1.0ms (16.4% of total)
adjust: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch23.0ms (0.6%)

Memory
-17.3MiB live, 32.5MiB allocated; 8ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
-9.098178429790271e-307
3.9036455500911226e-308
Samples
7.0ms128×0valid
3.0ms53×0invalid
Compiler

Compiled 380 to 306 computations (19.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult!: 2.0ms (33.2% of total)
ival-sqrt: 1.0ms (16.6% of total)
ival-neg: 1.0ms (16.6% of total)
ival-div!: 1.0ms (16.6% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-9.098178429790271e-307
3.9036455500911226e-308
Compiler

Compiled 492 to 354 computations (28% saved)

bsearch1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-9.098178429790271e-307
3.9036455500911226e-308
Compiler

Compiled 380 to 306 computations (19.5% saved)

bsearch1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-9.098178429790271e-307
3.9036455500911226e-308
Compiler

Compiled 388 to 290 computations (25.3% saved)

bsearch26.0ms (0.7%)

Memory
-4.5MiB live, 41.3MiB allocated; 3ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
7.62548220615963e+21
2.0524433019963247e+24
Samples
7.0ms46×2valid
4.0ms34×1valid
2.0ms39×0valid
2.0ms9×3valid
1.0ms19×0invalid
Compiler

Compiled 508 to 354 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
adjust: 3.0ms (26.6% of total)
ival-mult!: 3.0ms (26.6% of total)
ival-sqrt: 2.0ms (17.7% of total)
ival-sub!: 1.0ms (8.9% of total)
ival-add!: 1.0ms (8.9% of total)
ival-div!: 1.0ms (8.9% of total)
ival-neg: 1.0ms (8.9% of total)

bsearch1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
7.62548220615963e+21
2.0524433019963247e+24
Compiler

Compiled 628 to 442 computations (29.6% saved)

derivations230.0ms (5.9%)

Memory
-15.3MiB live, 217.8MiB allocated; 33ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 1 199 to 167 computations (86.1% saved)

preprocess91.0ms (2.3%)

Memory
10.0MiB live, 103.3MiB allocated; 24ms collecting garbage
Compiler

Compiled 2 432 to 358 computations (85.3% saved)

end0.0ms (0%)

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

Profiling

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