Cubic critical

Time bar (total: 3.8s)

start0.0ms (0%)

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

analyze198.0ms (5.2%)

Memory
-0.2MiB live, 320.2MiB allocated; 103ms 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)

sample1.2s (32.6%)

Memory
65.3MiB live, 2 095.6MiB allocated; 225ms collecting garbage
Samples
437.0ms5 613×0valid
197.0ms1 163×2valid
160.0ms1 302×1valid
66.0ms996×0invalid
42.0ms178×3valid
Precisions
Click to see histograms. Total time spent on operations: 614.0ms
ival-sqrt: 175.0ms (28.5% of total)
ival-mult!: 158.0ms (25.7% of total)
adjust: 86.0ms (14% of total)
ival-div!: 72.0ms (11.7% of total)
ival-neg: 52.0ms (8.5% of total)
ival-add!: 38.0ms (6.2% of total)
ival-sub!: 33.0ms (5.4% of total)
Bogosity

explain177.0ms (4.6%)

Memory
24.2MiB live, 340.7MiB allocated; 38ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1190-1(-2.676906769707551e-215 -4.584281247046002e-233 3.189532664893113e-107)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
520-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
200-1(-3.216181213706622e-68 3.12587604071541e+161 2.172147201134873e-87)(/.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))
40-0-(-.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-rescue1120
↳(*.f64 b b)overflow90
↳(*.f64 (*.f64 #s(literal 3 binary64) a) c)overflow28
↳(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))overflow112
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))cancellation520
/.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/n190
↳(*.f64 (*.f64 #s(literal 3 binary64) a) c)underflow40
↳(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))underflow6
↳(*.f64 b b)underflow45
↳(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))underflow34
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))uflow-rescue60
↳(*.f64 b b)underflow45
↳(*.f64 (*.f64 #s(literal 3 binary64) a) c)underflow40
↳(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))underflow6
-.f64(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))nan-rescue40
↳(*.f64 b b)overflow90
↳(*.f64 (*.f64 #s(literal 3 binary64) a) c)overflow28
Confusion
Predicted +Predicted -
+1291
-21105
Precision
0.86
Recall
0.9923076923076923
Confusion?
Predicted +Predicted MaybePredicted -
+12901
-210105
Precision?
0.86
Recall?
0.9923076923076923
Freqs
test
numberfreq
0106
1111
235
34
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
48.0ms340×0valid
20.0ms102×2valid
9.0ms64×1valid
2.0ms6×3valid
Compiler

Compiled 153 to 40 computations (73.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-div!: 24.0ms (45.4% of total)
ival-mult!: 9.0ms (17% of total)
ival-sqrt: 7.0ms (13.2% of total)
adjust: 5.0ms (9.5% of total)
ival-sub!: 3.0ms (5.7% of total)
ival-add!: 2.0ms (3.8% of total)
ival-neg: 2.0ms (3.8% of total)

preprocess113.0ms (3%)

Memory
-58.2MiB live, 58.2MiB allocated; 123ms 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
▶51.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 34 to 24 computations (29.4% saved)

series41.0ms (1.1%)

Memory
17.8MiB live, 67.5MiB allocated; 21ms 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
15.0ms
b
@inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* b b) (* (* 3 a) c) (* 3 a) 3 a c)
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)
4.0ms
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)
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)

rewrite167.0ms (4.4%)

Memory
16.1MiB live, 206.4MiB allocated; 47ms 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)))

eval21.0ms (0.6%)

Memory
-6.5MiB live, 39.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 5 591 to 934 computations (83.3% saved)

prune10.0ms (0.3%)

Memory
-26.4MiB live, 21.2MiB allocated; 2ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New13812150
Fresh000
Picked101
Done000
Total13912151
Accuracy
99.8%
Counts
151 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.3%
(/.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))
51.2%
(/.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)
25.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.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 #s(literal 3 binary64) a))
36.6%
(/.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))
▶33.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
29.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a))
51.1%
(+.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))))
35.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
▶18.5%
#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)))
16.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
▶31.5%
#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))))
▶33.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
Compiler

Compiled 562 to 404 computations (28.1% saved)

series50.0ms (1.3%)

Memory
41.8MiB live, 93.2MiB allocated; 4ms collecting garbage
Counts
35 → 197
Calls
Call 1
Inputs
(/.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))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
b
#s(literal -1 binary64)
(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)
(*.f64 #s(literal 3 binary64) a)
#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)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b))
(*.f64 #s(literal -2 binary64) b)
#s(literal -2 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 (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)
Outputs
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a))))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a)))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (* -1 b))))
#s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b)))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (* 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 (* -2/3 (/ b a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ b a) #s(hole binary64 (/ 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 (* (/ 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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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) (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 (+ (* (/ 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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (+ (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 (* (/ 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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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) (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 (* -2 b) #s(hole binary64 (* -2 b)))
#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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (+ (* b -1) (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) (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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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) (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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a)))))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (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 (+ (* b -1) (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 (+ (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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) (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 (+ (* (/ 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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (+ (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 (* (/ 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))))))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
c
@-inf
((/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) b -1 (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) (* 3 a) 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)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* -2 b) -2 (/ (+ (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)
7.0ms
b
@-inf
((/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) b -1 (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) (* 3 a) 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)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* -2 b) -2 (/ (+ (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)
7.0ms
a
@0
((/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) b -1 (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) (* 3 a) 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)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* -2 b) -2 (/ (+ (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)
4.0ms
a
@-inf
((/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) b -1 (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) (* 3 a) 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)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* -2 b) -2 (/ (+ (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)
4.0ms
c
@inf
((/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) b -1 (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) (* 3 a) 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)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* -2 b) -2 (/ (+ (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)

rewrite172.0ms (4.5%)

Memory
-27.9MiB live, 206.4MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08948219
09227647
049617429
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
232 → 298
Calls
Call 1
Inputs
(/.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))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
b
#s(literal -1 binary64)
(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)
(*.f64 #s(literal 3 binary64) a)
#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)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b))
(*.f64 #s(literal -2 binary64) b)
#s(literal -2 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 (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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a))))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a)))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (* -1 b))))
#s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b)))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (* 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 (* -2/3 (/ b a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ b a) #s(hole binary64 (/ 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 (* (/ 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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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) (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 (+ (* (/ 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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (+ (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 (* (/ 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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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) (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 (* -2 b) #s(hole binary64 (* -2 b)))
#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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (+ (* b -1) (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) (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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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) (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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a)))))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (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 (+ (* b -1) (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 (+ (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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) (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 (+ (* (/ 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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (+ (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 (* (/ 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))))))))
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 (neg.f64 b) (*.f64 #s(literal 3 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a)))
(/.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 #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 (neg.f64 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))
b
#s(literal -1 binary64)
(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 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 a #s(literal -3 binary64)) c))
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))
(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)))
(*.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)) (*.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)
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (neg.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b))) (neg.f64 (*.f64 #s(literal 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))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b))
(*.f64 #s(literal -2 binary64) b)
(*.f64 b #s(literal -2 binary64))
#s(literal -2 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 #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 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal 0 binary64) b))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (+ (* b -1) (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 (* 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 (* -2/3 (/ b a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ b a) (/.f64 b a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b)))
#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 (* (/ 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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* 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))) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
#s(approx (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 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 -1) (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 #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 (+ (* (* -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 #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 (+ (* (* -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 #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 (+ (* (* -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 #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 (+ (* (* -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 #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 #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 #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 (*.f64 a #s(literal -3 binary64)) c)))
#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 (* (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (+ (* b -1) (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 (+ (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 #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 (* (/ 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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b)))
#s(approx (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 (-.f64 (*.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 (*.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))))) 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 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (*.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 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 1/16 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 (*.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 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) (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 (*.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 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (*.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))))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (* -2 b) (*.f64 #s(literal -2 binary64) b))
#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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b)))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (+ (* b -1) (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) (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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (+ (* b -1) (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) (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 #s(literal -3/2 binary64) (*.f64 c a)) (*.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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (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 (+ (* b -1) (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 (+ (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (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 (+ (* b -1) (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 (+ (* b -1) (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) (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 (+ (* (/ 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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 #s(literal -1/3 binary64) (/.f64 b a))) c))) c)))
#s(approx (/ (+ (* b -1) (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 #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 (+ (* b -1) (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 (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.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))) (*.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 (+ (* (* -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 (+ (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 -1/8 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))) (*.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 (* (/ 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)))

eval73.0ms (1.9%)

Memory
12.4MiB live, 57.7MiB allocated; 4ms collecting garbage
Compiler

Compiled 10 749 to 1 333 computations (87.6% saved)

prune23.0ms (0.6%)

Memory
-18.6MiB live, 28.6MiB allocated; 2ms collecting garbage
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New26611277
Fresh347
Picked145
Done000
Total27019289
Accuracy
99.9%
Counts
289 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.2%
(/.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)
33.2%
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
25.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.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 #s(literal 3 binary64) a))
36.6%
(/.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))
▶30.0%
(/.f64 #s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
✓33.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
29.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a))
51.1%
(+.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))))
35.5%
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
▶16.9%
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
33.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
18.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))
✓18.5%
#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)))
✓31.5%
#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))))
▶33.2%
#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))))
✓33.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
32.9%
#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)))))
29.3%
#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 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
▶12.7%
#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 947 to 667 computations (29.6% saved)

series72.0ms (1.9%)

Memory
28.8MiB live, 79.0MiB allocated; 42ms collecting garbage
Counts
34 → 259
Calls
Call 1
Inputs
(/.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 (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))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(literal -1 binary64)
b
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
(fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))
(*.f64 (*.f64 a #s(literal -3 binary64)) c)
(*.f64 a #s(literal -3 binary64))
a
#s(literal -3 binary64)
c
#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)
#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 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))
(neg.f64 b)
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))
(/.f64 #s(literal 2/3 binary64) a)
#s(literal 2/3 binary64)
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 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)
(/.f64 #s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
(sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))
(*.f64 #s(literal 3 binary64) a)
Outputs
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* 1/3 (+ b (* -1 b)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (+ b (* -1 b))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b)))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c))) #s(hole binary64 b))
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* b b) (* (* a -3) 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) (* (* a -3) c)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) (* (* a -3) c)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2))))
#s(approx (* (* a -3) c) #s(hole binary64 (* -3 (* a c))))
#s(approx (* a -3) #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 (* (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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a))))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a)))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (* (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (* -1 b))))
#s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b)))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (* (* a -3) c)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (* 3 a) #s(hole binary64 (* 3 a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (sqrt (+ (* b b) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) c)) #s(hole binary64 (* -3 (* a c))))
#s(approx (+ (* b b) (* (* a -3) c)) #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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (+ (* b b) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) 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 -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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (* (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (* (* a -3) c)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 b #s(hole binary64 b))
#s(approx (sqrt (+ (* b b) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) 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 (/ (+ (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) #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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -1/2 (/ (* a c) b))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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) (* (* a -3) c))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* b b) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) 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 (/ (+ (* -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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (+ (* b -1) (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -2/3 b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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) (* (* a -3) c))) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* b b) (* (* a -3) 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) (* (* a -3) 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 (* -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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* b b) (* (* a -3) 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 (- (* -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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a)))))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (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 (+ (* b -1) (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) c)) #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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) c)) #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 (+ (* (/ 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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (* (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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))))))))
Calls

9 calls:

TimeVariablePointExpression
38.0ms
c
@0
((/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) -1 b (sqrt (+ (* b b) (* (* a -3) c))) (+ (* b b) (* (* a -3) c)) (* (* a -3) c) (* a -3) a -3 c 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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ 2/3 a) 2/3 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt (* (* a -3) c)) (* 3 a))
5.0ms
c
@-inf
((/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) -1 b (sqrt (+ (* b b) (* (* a -3) c))) (+ (* b b) (* (* a -3) c)) (* (* a -3) c) (* a -3) a -3 c 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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ 2/3 a) 2/3 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt (* (* a -3) c)) (* 3 a))
5.0ms
c
@inf
((/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) -1 b (sqrt (+ (* b b) (* (* a -3) c))) (+ (* b b) (* (* a -3) c)) (* (* a -3) c) (* a -3) a -3 c 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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ 2/3 a) 2/3 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt (* (* a -3) c)) (* 3 a))
4.0ms
a
@-inf
((/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) -1 b (sqrt (+ (* b b) (* (* a -3) c))) (+ (* b b) (* (* a -3) c)) (* (* a -3) c) (* a -3) a -3 c 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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ 2/3 a) 2/3 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt (* (* a -3) c)) (* 3 a))
3.0ms
a
@0
((/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) -1 b (sqrt (+ (* b b) (* (* a -3) c))) (+ (* b b) (* (* a -3) c)) (* (* a -3) c) (* a -3) a -3 c 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) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ 2/3 a) 2/3 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt (* (* a -3) c)) (* 3 a))

rewrite192.0ms (5%)

Memory
4.8MiB live, 239.0MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102611310
0105210399
0565810061
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
293 → 353
Calls
Call 1
Inputs
(/.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 (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))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(literal -1 binary64)
b
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
(fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))
(*.f64 (*.f64 a #s(literal -3 binary64)) c)
(*.f64 a #s(literal -3 binary64))
a
#s(literal -3 binary64)
c
#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)
#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 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))
(neg.f64 b)
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))
(/.f64 #s(literal 2/3 binary64) a)
#s(literal 2/3 binary64)
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 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)
(/.f64 #s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
(sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))
(*.f64 #s(literal 3 binary64) a)
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* 1/3 (+ b (* -1 b)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (+ b (* -1 b))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b)))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c))) #s(hole binary64 b))
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* b b) (* (* a -3) 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) (* (* a -3) c)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) (* (* a -3) c)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2))))
#s(approx (* (* a -3) c) #s(hole binary64 (* -3 (* a c))))
#s(approx (* a -3) #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 (* (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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a))))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a)))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (* (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (* -1 b))))
#s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b)))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (* (* a -3) c)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (* 3 a) #s(hole binary64 (* 3 a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (sqrt (+ (* b b) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) c)) #s(hole binary64 (* -3 (* a c))))
#s(approx (+ (* b b) (* (* a -3) c)) #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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (+ (* b b) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) 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 -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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (* (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (* (* a -3) c)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 b #s(hole binary64 b))
#s(approx (sqrt (+ (* b b) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) 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 (/ (+ (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) #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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -1/2 (/ (* a c) b))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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) (* (* a -3) c))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* b b) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) 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 (/ (+ (* -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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (+ (* b -1) (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -2/3 b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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) (* (* a -3) c))) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* b b) (* (* a -3) 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) (* (* a -3) 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 (* -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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* b b) (* (* a -3) 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 (- (* -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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a)))))
#s(approx (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (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 (+ (* b -1) (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) c)) #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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) c)) #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 (+ (* (/ 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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (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 (* (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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (* b -1) (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 (+ (* b -1) (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))))))))
Outputs
(/.f64 (neg.f64 (/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) #s(literal 3 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))))) (neg.f64 (*.f64 #s(literal 3 binary64) a)))
(/.f64 (/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) #s(literal 3 binary64)) a)
(/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) 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 #s(literal -3 binary64) a) c))))) #s(literal -3 binary64))
(/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) #s(literal 3 binary64))
(+.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(literal -1 binary64)
b
(pow.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 (*.f64 #s(literal -3 binary64) a) c) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 b b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 b b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) (*.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) a) c))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 #s(literal -3 binary64) a) c))
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 #s(literal -3 binary64) a) c))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) a)) c))
(-.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 (neg.f64 b) b))
(+.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) a) c))
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 b b))
(*.f64 (*.f64 c a) #s(literal -3 binary64))
(*.f64 (*.f64 #s(literal -3 binary64) a) c)
(*.f64 c (*.f64 #s(literal -3 binary64) a))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) a)
(*.f64 a #s(literal -3 binary64))
a
#s(literal -3 binary64)
c
#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 (/.f64 c b) #s(literal 1/2 binary64))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 c b) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b)
#s(literal 1/2 binary64)
(/.f64 (neg.f64 c) (neg.f64 b))
(/.f64 c b)
#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 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))
(*.f64 #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(neg.f64 (*.f64 b #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 b #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) b)
(neg.f64 b)
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))
(*.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) (neg.f64 a))
(/.f64 #s(literal 2/3 binary64) a)
#s(literal 2/3 binary64)
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)) a)
(/.f64 (neg.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (neg.f64 (*.f64 #s(literal 3 binary64) a)))
(/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c))
(*.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 #s(literal -3 binary64) a) c) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))
(*.f64 #s(literal 3 binary64) a)
(*.f64 a #s(literal 3 binary64))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 3) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) (*.f64 #s(literal 0 binary64) b))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (+.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b) (neg.f64 b)) b))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (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 (+ (* b b) (* (* a -3) c)))) (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 (+ (* b b) (* (* a -3) c))) b)
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b) b))
#s(approx (sqrt (+ (* b b) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) c)) (*.f64 b b))
#s(approx (+ (* b b) (* (* a -3) c)) (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))
#s(approx (* (* a -3) c) (*.f64 (*.f64 #s(literal -3 binary64) a) c))
#s(approx (* a -3) (*.f64 #s(literal -3 binary64) a))
#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 (* (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 -2/3 binary64) b (*.f64 (/.f64 (*.f64 c a) b) #s(literal 1/2 binary64))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (* (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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 #s(literal 0 binary64) b))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (+.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b) (neg.f64 b)) b))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (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 (+ (* b b) (* (* a -3) c)))) (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 (* (* a -3) c)) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))
#s(approx (* 3 a) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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))))
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#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/.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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 3) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 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 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) a))
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#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a))
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#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (*.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))
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#s(approx (sqrt (+ (* b b) (* (* a -3) 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 (/.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 (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c))
#s(approx (+ (* b b) (* (* a -3) c)) (*.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 (/.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 (/.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 (/.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) (+ (* (/ 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 (+ (* (/ 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* b b) (* (* a -3) c)))) 3) a) (fma.f64 (/.f64 b a) #s(literal -1/3 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 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/.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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.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 (+ (* b b) (* (* a -3) c)))) (*.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 (+ (* b b) (* (* a -3) c)))) (*.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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (+ (* b b) (* (* a -3) c)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal -1/3 binary64)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) a))) a))) a)))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (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 (+ (* b b) (* (* a -3) c)))) (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 (+ (* b b) (* (* a -3) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (+ (* b b) (* (* a -3) c))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (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 (+ (* b b) (* (* a -3) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (+ (* b b) (* (* a -3) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (+ (* b b) (* (* a -3) c)) (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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (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 (+ (* b b) (* (* a -3) c)))) (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 (+ (* b b) (* (* a -3) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (* (* a -3) c)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b)))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 #s(literal -3 binary64) a) c))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 #s(literal -3 binary64) a) c))))
#s(approx b b)
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (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 #s(literal -3 binary64) a) c))))
#s(approx (sqrt (+ (* b b) (* (* a -3) 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 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (sqrt (+ (* b b) (* (* a -3) 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 (*.f64 #s(literal -3 binary64) a) c))))
#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 (* 1/2 (/ c b)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
#s(approx (/ c b) (/.f64 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b)))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 #s(literal -3 binary64) a) c))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 #s(literal -3 binary64) a) c))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) 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 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) b))
#s(approx (sqrt (+ (* b b) (* (* a -3) 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 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 1 binary64)) b))
#s(approx (+ (* b b) (* (* a -3) c)) (*.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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (*.f64 #s(literal -2/3 binary64) b))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (neg.f64 b))
#s(approx (sqrt (+ (* b b) (* (* a -3) 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) (* (* a -3) 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 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* b b) (* (* a -3) 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 #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 (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) (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 (+ (* b b) (* (* a -3) c)))) (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 (+ (* b b) (* (* a -3) 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) (* (* a -3) 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 (-.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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) (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 (+ (* b b) (* (* a -3) c)))) (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) (*.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 (+ (* b b) (* (* a -3) c)))) (*.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 (+ (* b b) (* (* a -3) c)))) (*.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 (+ (* b b) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) 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) (* (* a -3) c)) (*.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 (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.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 (+ (* b b) (* (* a -3) c)))) (*.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 (+ (* b b) (* (* a -3) c)))) (*.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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.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))))) c))) c))) c)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c))) c))) c)))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (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 (+ (* b b) (* (* a -3) c)))) (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 (+ (* b b) (* (* a -3) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (+ (* b b) (* (* a -3) 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) (* (* a -3) 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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) (* (* a -3) 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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) (* (* a -3) c)) (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 -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.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))))) 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 (+ (* (/ 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) (*.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))))) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (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 (+ (* b b) (* (* a -3) c)))) (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 (+ (* b b) (* (* a -3) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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)))

eval34.0ms (0.9%)

Memory
-27.9MiB live, 62.9MiB allocated; 8ms collecting garbage
Compiler

Compiled 10 519 to 1 468 computations (86% saved)

prune15.0ms (0.4%)

Memory
34.2MiB live, 34.2MiB allocated; 0ms collecting garbage
Pruning

22 alts after pruning (14 fresh and 8 done)

PrunedKeptTotal
New25812270
Fresh8210
Picked055
Done134
Total26722289
Accuracy
99.9%
Counts
289 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.2%
(/.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)
36.6%
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) #s(literal 3 binary64)) a)
33.2%
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
▶29.9%
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)) a)
▶51.2%
(/.f64 (+.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64))) a)
36.6%
(/.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))
▶26.6%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a)
33.2%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
16.4%
(/.f64 #s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a))
29.9%
(/.f64 #s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
✓30.0%
(/.f64 #s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
✓33.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
▶35.5%
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
16.9%
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)))
✓16.9%
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
18.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))
✓18.5%
#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)))
✓33.2%
#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))))
▶33.2%
#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 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 binary64)))))
✓33.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
32.9%
#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)))))
✓12.7%
#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 948 to 715 computations (24.6% saved)

series48.0ms (1.3%)

Memory
-22.4MiB live, 77.2MiB allocated; 11ms collecting garbage
Counts
34 → 285
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64))) a)
(+.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)))
(/.f64 (neg.f64 b) #s(literal 3 binary64))
(neg.f64 b)
b
#s(literal 3 binary64)
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))
(*.f64 (*.f64 #s(literal -3 binary64) a) c)
(*.f64 #s(literal -3 binary64) a)
#s(literal -3 binary64)
a
c
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
#s(literal -1/2 binary64)
#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 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 binary64)))))
(*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 binary64))))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 binary64))
(pow.f64 a #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))
(/.f64 (*.f64 c a) b)
(*.f64 c a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)) a)
(/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))
(sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))
Outputs
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (/ (+ (* -1/3 b) (* 1/3 b)) a)))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b))) a)))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))) a)))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (/ (+ (* -1/3 b) (+ (* 1/3 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (+ (* -1/3 b) (* 1/3 b))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b)))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (+ (* -1/3 b) (+ (* 1/3 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* 1/3 b)))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (* 1/3 b))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (+ (* 1/3 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 (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (/ (+ (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 (+ (* (/ 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 (* (pow a -1) 2/3) #s(hole binary64 (/ 2/3 a)))
#s(approx (pow a -1) #s(hole binary64 (/ 1 a)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* 1/3 (+ b (* -1 b)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (* (/ (* c a) b) -1/2) #s(hole binary64 (* -1/2 (/ (* a c) b))))
#s(approx (/ (* c a) b) #s(hole binary64 (/ (* a c) b)))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (+ b (* -1 b))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b)))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (/ (neg b) 3) (/ (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) 3) (/ (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) 3) (/ (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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* 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 (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))))
#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 (+ (* -3 c) (/ (pow b 2) a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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)))) (* 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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 (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (/ (neg b) 3) (/ (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) 3) (/ (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) 3) (/ (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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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)))) (* 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (/ (neg b) 3) (/ (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) 3) (/ (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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (/ (neg b) 3) #s(hole binary64 (* -1/3 b)))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx b #s(hole binary64 b))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* (pow b 2) (+ (* -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)))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* (pow b 2) (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))))
#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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (* (/ c b) -1/2) #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)))) (* 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 (+ (* (/ 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (/ (neg b) 3) (/ (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) 3) (/ (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) 3) (/ (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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (* -1/2 (/ (* a c) b))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* b (+ 1/3 (* -1/2 (/ (* a c) (pow b 2)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* b (+ 1/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* b (+ 1/3 (+ (* -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 (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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)))) (* 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -1/2 (/ (* a c) b))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (/ (neg b) 3) (/ (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) 3) (/ (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) 3) (/ (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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (* -2/3 b)))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1/3 b)))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1 (* b (+ 1/3 (* -1/2 (/ (* a c) (pow b 2))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1 (* b (+ 1/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1 (* b (+ 1/3 (+ (* -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 (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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)))) (* 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -2/3 b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (+ (* -1/2 (/ c b)) (+ (* -1/3 (/ b a)) (* 1/3 (/ b a))))))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/3 (/ 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (+ (* -1/3 b) (+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (+ (* -1/3 b) (+ (* 1/3 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (+ (* 1/3 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 (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (/ (+ (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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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 (/ (+ (/ (neg b) 3) (/ (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) 3) (/ (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) 3) (/ (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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))))
#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 (+ (* -3 a) (/ (pow b 2) c)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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)))) (* 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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 (/ (+ (/ (neg b) 3) (/ (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) 3) (/ (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) 3) (/ (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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1 (* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (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))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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)))) (* 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 (+ (* (/ 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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))))))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
c
@-inf
((/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (/ (neg b) 3) (neg b) b 3 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (sqrt (+ (* b b) (* (* -3 a) c))) (+ (* b b) (* (* -3 a) c)) (* (* -3 a) c) (* -3 a) -3 a c (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (* (/ c b) -1/2) (/ c b) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (* (pow a -1) 2/3) (pow a -1) -1 2/3 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (* (/ (* c a) b) -1/2) (/ (* c a) b) (* c a) (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt (* (* -3 a) c)))
5.0ms
a
@-inf
((/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (/ (neg b) 3) (neg b) b 3 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (sqrt (+ (* b b) (* (* -3 a) c))) (+ (* b b) (* (* -3 a) c)) (* (* -3 a) c) (* -3 a) -3 a c (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (* (/ c b) -1/2) (/ c b) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (* (pow a -1) 2/3) (pow a -1) -1 2/3 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (* (/ (* c a) b) -1/2) (/ (* c a) b) (* c a) (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt (* (* -3 a) c)))
4.0ms
a
@inf
((/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (/ (neg b) 3) (neg b) b 3 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (sqrt (+ (* b b) (* (* -3 a) c))) (+ (* b b) (* (* -3 a) c)) (* (* -3 a) c) (* -3 a) -3 a c (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (* (/ c b) -1/2) (/ c b) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (* (pow a -1) 2/3) (pow a -1) -1 2/3 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (* (/ (* c a) b) -1/2) (/ (* c a) b) (* c a) (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt (* (* -3 a) c)))
4.0ms
c
@inf
((/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (/ (neg b) 3) (neg b) b 3 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (sqrt (+ (* b b) (* (* -3 a) c))) (+ (* b b) (* (* -3 a) c)) (* (* -3 a) c) (* -3 a) -3 a c (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (* (/ c b) -1/2) (/ c b) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (* (pow a -1) 2/3) (pow a -1) -1 2/3 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (* (/ (* c a) b) -1/2) (/ (* c a) b) (* c a) (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt (* (* -3 a) c)))
3.0ms
a
@0
((/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (/ (neg b) 3) (neg b) b 3 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (sqrt (+ (* b b) (* (* -3 a) c))) (+ (* b b) (* (* -3 a) c)) (* (* -3 a) c) (* -3 a) -3 a c (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (* (/ c b) -1/2) (/ c b) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (* (pow a -1) 2/3) (pow a -1) -1 2/3 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (* (/ (* c a) b) -1/2) (/ (* c a) b) (* c a) (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt (* (* -3 a) c)))

rewrite236.0ms (6.2%)

Memory
6.4MiB live, 273.9MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113413053
0116611849
1640411681
0831511280
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
319 → 389
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64))) a)
(+.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)))
(/.f64 (neg.f64 b) #s(literal 3 binary64))
(neg.f64 b)
b
#s(literal 3 binary64)
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))
(*.f64 (*.f64 #s(literal -3 binary64) a) c)
(*.f64 #s(literal -3 binary64) a)
#s(literal -3 binary64)
a
c
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
#s(literal -1/2 binary64)
#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 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 binary64)))))
(*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 binary64))))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 binary64))
(pow.f64 a #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))
(/.f64 (*.f64 c a) b)
(*.f64 c a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)) a)
(/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))
(sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (/ (+ (* -1/3 b) (* 1/3 b)) a)))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b))) a)))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))) a)))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (/ (+ (* -1/3 b) (+ (* 1/3 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (+ (* -1/3 b) (* 1/3 b))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b)))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (+ (* -1/3 b) (+ (* 1/3 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* 1/3 b)))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (* 1/3 b))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (+ (* 1/3 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 (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (/ (+ (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 (+ (* (/ 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 (* (pow a -1) 2/3) #s(hole binary64 (/ 2/3 a)))
#s(approx (pow a -1) #s(hole binary64 (/ 1 a)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* 1/3 (+ b (* -1 b)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (* (/ (* c a) b) -1/2) #s(hole binary64 (* -1/2 (/ (* a c) b))))
#s(approx (/ (* c a) b) #s(hole binary64 (/ (* a c) b)))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (+ b (* -1 b))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b)))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (/ (neg b) 3) (/ (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) 3) (/ (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) 3) (/ (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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* 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 (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))))
#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 (+ (* -3 c) (/ (pow b 2) a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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)))) (* 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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 (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (/ (neg b) 3) (/ (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) 3) (/ (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) 3) (/ (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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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)))) (* 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (/ (neg b) 3) (/ (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) 3) (/ (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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (/ (neg b) 3) #s(hole binary64 (* -1/3 b)))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx b #s(hole binary64 b))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* (pow b 2) (+ (* -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)))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* (pow b 2) (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))))
#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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (* (/ c b) -1/2) #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)))) (* 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 (+ (* (/ 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (/ (neg b) 3) (/ (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) 3) (/ (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) 3) (/ (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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (* -1/2 (/ (* a c) b))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* b (+ 1/3 (* -1/2 (/ (* a c) (pow b 2)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* b (+ 1/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* b (+ 1/3 (+ (* -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 (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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)))) (* 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -1/2 (/ (* a c) b))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (/ (neg b) 3) (/ (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) 3) (/ (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) 3) (/ (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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (* -2/3 b)))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1/3 b)))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1 (* b (+ 1/3 (* -1/2 (/ (* a c) (pow b 2))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1 (* b (+ 1/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1 (* b (+ 1/3 (+ (* -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 (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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)))) (* 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -2/3 b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (+ (* -1/2 (/ c b)) (+ (* -1/3 (/ b a)) (* 1/3 (/ b a))))))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/3 (/ 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (+ (* -1/3 b) (+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (+ (* -1/3 b) (+ (* 1/3 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (+ (* 1/3 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 (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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (/ (+ (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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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 (/ (+ (/ (neg b) 3) (/ (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) 3) (/ (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) 3) (/ (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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))))
#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 (+ (* -3 a) (/ (pow b 2) c)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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)))) (* 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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 (/ (+ (/ (neg b) 3) (/ (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) 3) (/ (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) 3) (/ (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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1 (* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) #s(hole binary64 (* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (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))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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)))) (* 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 (+ (* (/ 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 (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) 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 (+ (* b b) (* (* a -3) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) #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 (+ (* b b) (* (* a -3) c)))) #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))))))))
Outputs
(/.f64 (neg.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))) (neg.f64 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 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64)))
(+.f64 (/.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) a) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) a))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (neg.f64 b) #s(literal 3 binary64))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)))) (-.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64))))
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a
c
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#s(approx (* (* -3 a) c) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
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#s(approx (* c a) (*.f64 c a))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 #s(literal 0 binary64) b))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (+.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b) (neg.f64 b)) b))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (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 (+ (* b b) (* (* a -3) c)))) (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)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))
#s(approx (/ (+ (/ (neg b) 3) (/ (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) 3) (/ (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) 3) (/ (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) (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) 3) (/ (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))) (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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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))) (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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (*.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 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (*.f64 (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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (*.f64 (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 (/.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 1/48 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 (sqrt (+ (* b b) (* (* -3 a) c))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))
#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 #s(literal 1/16 binary64) (*.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))) (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 b) (* (* -3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
#s(approx (+ (* b b) (* (* -3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) a))
#s(approx (/ (+ (/ (neg b) 3) (/ (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) 3) (/ (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) 3) (/ (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) (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) 3) (/ (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))) (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) (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) (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 (/.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))) (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 #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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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))) (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 (+ (* b b) (* (* a -3) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.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 (+ (* b b) (* (* a -3) c)))) (*.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 (+ (* b b) (* (* a -3) c)))) (*.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 (/ (+ (/ (neg b) 3) (/ (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) 3) (/ (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) 3) (/ (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 c a) #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) 3) (/ (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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 c a) #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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) a))) a))) a)))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (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 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))) a)))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -1 binary64)) (*.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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (/.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 1/48 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 (sqrt.f64 #s(literal -1 binary64)) (*.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 (sqrt (+ (* b b) (* (* -3 a) c))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))
#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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (+ (* b b) (* (* -3 a) c)) (neg.f64 (*.f64 (fma.f64 c #s(literal 3 binary64) (neg.f64 (/.f64 (*.f64 b b) a))) a)))
#s(approx (/ (+ (/ (neg b) 3) (/ (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) 3) (/ (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) 3) (/ (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 c a) #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) 3) (/ (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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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)))) (* 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 c a) #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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 c a) #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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) a))) a))) a)))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (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 (+ (* b b) (* (* a -3) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 c a) #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 (+ (* b b) (* (* a -3) c)))) (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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (* (* -3 a) c)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (+ (/ (neg b) 3) (/ (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) 3) (/ (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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b)))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/3 binary64)) b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #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 c a) #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 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (/ (neg b) 3) (*.f64 #s(literal -1/3 binary64) b))
#s(approx (neg b) (neg.f64 b))
#s(approx b b)
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 c a) #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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (fma.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #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 c a) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))) (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (pow.f64 #s(literal -3 binary64) #s(literal -3/2 binary64)) (*.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #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) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #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)))))
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #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 c a) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))
#s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -5 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (pow.f64 #s(literal -3 binary64) #s(literal -3/2 binary64)))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (+ (/ (neg b) 3) (/ (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) 3) (/ (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 (* (/ c b) -1/2) (*.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)))) (* 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 (+ (* (/ 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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b)))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/3 binary64)) b (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
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#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (*.f64 #s(literal -2/3 binary64) b))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (* b b) (* (* a -3) c)))) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) 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 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) (fma.f64 (/.f64 b a) #s(literal 0 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) (fma.f64 (/.f64 b a) #s(literal 0 binary64) (*.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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) (fma.f64 (/.f64 b a) #s(literal 0 binary64) (*.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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (fma.f64 b #s(literal 0 binary64) (*.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)))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (fma.f64 b #s(literal 0 binary64) (*.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)))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 #s(literal 1/3 binary64) b)))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 #s(literal 1/3 binary64) b)))
#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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (/ (+ (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) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (* b b) (* (* a -3) c)))) (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 (+ (* b b) (* (* a -3) c)))) (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 (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c))
#s(approx (/ (+ (/ (neg b) 3) (/ (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 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64))))) c))
#s(approx (/ (+ (/ (neg b) 3) (/ (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 (*.f64 c a) #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 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) c))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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) (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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 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 -1/24 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (*.f64 (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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (*.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 -1/24 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (*.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 -1/24 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 1/48 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 (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 b) (* (* -3 a) c)) (*.f64 (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)) c))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c))
#s(approx (/ (+ (/ (neg b) 3) (/ (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 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64))))) c))
#s(approx (/ (+ (/ (neg b) 3) (/ (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 (*.f64 c a) #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 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #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 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -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 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #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 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #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 c a) #s(literal -3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #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 (+ (* (/ 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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) (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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 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 -1/24 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 (+ (* b b) (* (* a -3) c)))) (*.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 (+ (* b b) (* (* a -3) c)))) (*.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 (+ (* b b) (* (* a -3) c)))) (*.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 (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 (*.f64 c a) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c)))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #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 (/.f64 b a) #s(literal -1/3 binary64))) c))) c)))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -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) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c))) c))) c)))
#s(approx (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 c a) #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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (neg.f64 (*.f64 (fma.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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64))) c)))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/24 binary64) (fma.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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) c)))
#s(approx (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3) (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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/24 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 1/48 binary64) (fma.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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 b) (* (* -3 a) c)) (neg.f64 (*.f64 (fma.f64 a #s(literal 3 binary64) (neg.f64 (/.f64 (*.f64 b b) c))) c)))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 (*.f64 c a) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c)))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #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 (/.f64 b a) #s(literal -1/3 binary64))) c))) c)))
#s(approx (/ (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 3)) a) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -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) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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)))) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 (*.f64 c a) #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 c a) #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 (/.f64 b a) #s(literal -1/3 binary64))) c))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -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) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (+ (* (/ 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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 c a) #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 (+ (/ (neg b) 3) (/ (sqrt (+ (* b b) (* (* -3 a) c))) 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) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (+ (* b b) (* (* a -3) c)))) (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 (+ (* b b) (* (* a -3) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 c a) #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 (+ (* b b) (* (* a -3) c)))) (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) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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)))

eval46.0ms (1.2%)

Memory
25.3MiB live, 88.4MiB allocated; 23ms collecting garbage
Compiler

Compiled 12 971 to 1 720 computations (86.7% saved)

prune26.0ms (0.7%)

Memory
-35.9MiB live, 56.3MiB allocated; 9ms collecting garbage
Pruning

25 alts after pruning (13 fresh and 12 done)

PrunedKeptTotal
New3195324
Fresh189
Picked145
Done088
Total32125346
Accuracy
100.0%
Counts
346 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.2%
(/.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)
36.6%
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) #s(literal 3 binary64)) a)
27.9%
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (neg.f64 b) #s(literal 3 binary64))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)))) (-.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)))) a)
19.3%
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 (*.f64 c #s(literal -3 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) a)
16.4%
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c))) #s(literal 3 binary64)) a)
33.2%
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
✓29.9%
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)) a)
14.3%
(/.f64 (+.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (*.f64 c a) #s(literal -3 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)))))) #s(literal 3 binary64))) a)
36.6%
(/.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))
50.6%
(/.f64 (+.f64 #s(approx (/ (neg b) 3) (*.f64 #s(literal -1/3 binary64) b)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64))) a)
✓26.6%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a)
33.2%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
29.9%
(/.f64 #s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
✓30.0%
(/.f64 #s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
✓33.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
✓35.5%
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
16.9%
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)))
✓16.9%
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
18.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal 1/3 binary64)))
✓18.5%
#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)))
✓33.2%
#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))))
✓33.2%
#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 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 binary64)))))
✓33.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
32.9%
#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)))))
✓12.7%
#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 1 823 to 732 computations (59.8% saved)

regimes65.0ms (1.7%)

Memory
33.1MiB live, 130.4MiB allocated; 11ms collecting garbage
Counts
41 → 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)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 #s(literal -2 binary64) b)) #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 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (*.f64 (/.f64 (*.f64 c a) 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)))))
(/.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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)) a)
(/.f64 #s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 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)) (*.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) (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 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 (*.f64 c #s(literal -3 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) #s(literal 3 binary64)) a)
(/.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 (/.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 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 (+.f64 #s(approx (/ (neg b) 3) (*.f64 #s(literal -1/3 binary64) b)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #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))
(/.f64 (+.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64))) a)
(+.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 (neg.f64 b) (sqrt.f64 (/.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 #s(literal 3 binary64) a))
(/.f64 (+.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (*.f64 c a) #s(literal -3 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b)))))) #s(literal 3 binary64))) a)
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (neg.f64 b) #s(literal 3 binary64))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)))) (-.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)))) a)
Outputs
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(+.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))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

5 calls:

16.0ms
(/.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))
13.0ms
b
11.0ms
c
11.0ms
(*.f64 #s(literal 3 binary64) a)
11.0ms
a
Results
AccuracySegmentsBranch
57.4%3(*.f64 #s(literal 3 binary64) a)
70.5%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))
57.4%3a
86.2%3b
55.2%3c
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes28.0ms (0.7%)

Memory
-12.0MiB live, 34.4MiB allocated; 4ms 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)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 #s(literal -2 binary64) b)) #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 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (*.f64 (/.f64 (*.f64 c a) 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)))))
(/.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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)) a)
(/.f64 #s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 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)) (*.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) (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 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 (*.f64 c #s(literal -3 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) #s(literal 3 binary64)) a)
(/.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 (/.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 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 (+.f64 #s(approx (/ (neg b) 3) (*.f64 #s(literal -1/3 binary64) b)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #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))
(/.f64 (+.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64))) a)
Outputs
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) 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))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

26.0ms
b
Results
AccuracySegmentsBranch
86.2%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.3%)

Memory
-20.5MiB live, 26.4MiB allocated; 3ms collecting garbage
Counts
33 → 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)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 #s(literal -2 binary64) b)) #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 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (*.f64 (/.f64 (*.f64 c a) 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)))))
(/.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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)) a)
(/.f64 #s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 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)) (*.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) (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 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 (*.f64 c #s(literal -3 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) #s(literal 3 binary64)) a)
(/.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 (/.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
#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)))))
(/.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)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
86.2%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.3%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Counts
31 → 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)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 #s(literal -2 binary64) b)) #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 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (*.f64 (/.f64 (*.f64 c a) 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)))))
(/.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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)) a)
(/.f64 #s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 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)) (*.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) (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 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 (*.f64 c #s(literal -3 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* b b) (* (* a -3) c)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) #s(literal 3 binary64)) a)
Outputs
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
82.3%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.2%)

Memory
16.4MiB live, 16.4MiB 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)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 #s(literal -2 binary64) b)) #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 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (*.f64 (/.f64 (*.f64 c a) 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)))))
(/.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 (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #s(literal 3 binary64)) a)
(/.f64 #s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 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)) (*.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 (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 #s(approx (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (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)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
81.7%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.2%)

Memory
-34.1MiB live, 13.1MiB allocated; 2ms collecting garbage
Counts
21 → 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)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 #s(literal -2 binary64) b)) #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 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (*.f64 (/.f64 (*.f64 c a) 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)))))
(/.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 (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.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
81.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.2%)

Memory
11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Counts
20 → 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)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 #s(literal -2 binary64) b)) #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 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 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 (/ (+ (* b -1) (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 (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) (*.f64 (/.f64 (*.f64 c a) 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)))))
Outputs
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.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 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 (/ (+ (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
75.5%4b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Counts
14 → 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)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 #s(literal -2 binary64) b)) #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 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 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 (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.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 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 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
75.5%4b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Counts
13 → 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)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 #s(literal -2 binary64) b)) #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 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 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 (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.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 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:

4.0ms
b
Results
AccuracySegmentsBranch
71.7%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB 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)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) (*.f64 #s(literal -2 binary64) b)) #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 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 binary64)))))
Outputs
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.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
66.4%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (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)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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))
Outputs
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
66.4%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes21.0ms (0.5%)

Memory
-43.5MiB live, 7.0MiB 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)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (* b -1) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* b b) (* (* a -3) c)))) 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))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

20.0ms
b
Results
AccuracySegmentsBranch
66.3%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB 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)) (*.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)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
66.3%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.2%)

Memory
20.5MiB live, 20.5MiB allocated; 0ms 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)) (*.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:

1.0ms
(*.f64 #s(literal 3 binary64) a)
1.0ms
a
1.0ms
b
1.0ms
c
1.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
33.1%1c
33.1%1(*.f64 #s(literal 3 binary64) a)
33.1%1a
33.1%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))
42.9%2b
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes6.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 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
c
1.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
1.0ms
(*.f64 #s(literal 3 binary64) a)
1.0ms
a
1.0ms
b
Results
AccuracySegmentsBranch
12.7%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))
12.7%1c
12.7%1(*.f64 #s(literal 3 binary64) a)
12.7%1a
12.7%1b
Compiler

Compiled 23 to 26 computations (-13% saved)

bsearch44.0ms (1.2%)

Memory
-13.9MiB live, 75.7MiB allocated; 8ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
6.280397784436168e-55
1.166370210034226e-47
15.0ms
-5.764928137360514e+154
-9.713120629651732e+150
Samples
14.0ms197×0valid
7.0ms35×2valid
5.0ms40×1valid
1.0ms22×0invalid
Compiler

Compiled 735 to 570 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult!: 5.0ms (28.6% of total)
ival-div!: 4.0ms (22.9% of total)
ival-sqrt: 3.0ms (17.2% of total)
adjust: 2.0ms (11.4% of total)
ival-neg: 2.0ms (11.4% of total)
ival-sub!: 1.0ms (5.7% of total)
ival-add!: 1.0ms (5.7% of total)

bsearch3.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
6.280397784436168e-55
1.166370210034226e-47
1.0ms
-5.764928137360514e+154
-9.713120629651732e+150
Compiler

Compiled 667 to 553 computations (17.1% saved)

bsearch20.0ms (0.5%)

Memory
-6.8MiB live, 36.6MiB allocated; 4ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
6.280397784436168e-55
1.166370210034226e-47
17.0ms
-2.7870260280005903e+142
-6.953580564626692e+137
Samples
11.0ms128×0valid
0.0ms3×0invalid
Compiler

Compiled 843 to 633 computations (24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div!: 3.0ms (40.3% of total)
ival-mult!: 2.0ms (26.9% of total)
ival-sqrt: 1.0ms (13.4% of total)
ival-neg: 1.0ms (13.4% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch2.0ms (0%)

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
6.280397784436168e-55
1.166370210034226e-47
0.0ms
-1.2627366475376122e-21
-1.2510574801642666e-21
Compiler

Compiled 434 to 342 computations (21.2% saved)

bsearch45.0ms (1.2%)

Memory
-28.2MiB live, 28.3MiB allocated; 5ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
6.280397784436168e-55
1.166370210034226e-47
19.0ms
-2.1858052603656097e-32
-1.3171741548013468e-43
Samples
10.0ms160×0valid
2.0ms32×0invalid
Compiler

Compiled 912 to 750 computations (17.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult!: 3.0ms (43.8% of total)
ival-sqrt: 1.0ms (14.6% of total)
ival-neg: 1.0ms (14.6% of total)
ival-div!: 1.0ms (14.6% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch3.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
6.280397784436168e-55
1.166370210034226e-47
1.0ms
-2.1858052603656097e-32
-1.3171741548013468e-43
Compiler

Compiled 893 to 731 computations (18.1% saved)

bsearch66.0ms (1.7%)

Memory
37.4MiB live, 82.9MiB allocated; 4ms collecting garbage
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
8.910306814483406e-91
2.4027268525799e-89
25.0ms
-4.584281247046002e-233
-1.0335097716011182e-236
17.0ms
-1.3171741548013468e-43
-2.143943701005494e-50
Samples
21.0ms342×0valid
7.0ms113×0invalid
4.0ms22×2valid
2.0ms20×1valid
Compiler

Compiled 1 202 to 939 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult!: 7.0ms (33.6% of total)
ival-sqrt: 4.0ms (19.2% of total)
ival-div!: 3.0ms (14.4% of total)
ival-neg: 3.0ms (14.4% of total)
adjust: 1.0ms (4.8% of total)
ival-sub!: 1.0ms (4.8% of total)
ival-add!: 1.0ms (4.8% of total)

bsearch8.0ms (0.2%)

Memory
-34.8MiB live, 8.0MiB allocated; 7ms collecting garbage
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
5.0ms
8.910306814483406e-91
2.4027268525799e-89
1.0ms
-4.584281247046002e-233
-1.0335097716011182e-236
1.0ms
-1.3171741548013468e-43
-2.143943701005494e-50
Compiler

Compiled 1 202 to 939 computations (21.9% saved)

bsearch24.0ms (0.6%)

Memory
44.6MiB live, 44.7MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
5.4355592038215506e-182
1.84817662085816e-175
1.0ms
-1.3171741548013468e-43
-2.143943701005494e-50
Samples
7.0ms117×0valid
3.0ms26×1valid
3.0ms42×0invalid
0.0ms1×2valid
Compiler

Compiled 884 to 693 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult!: 3.0ms (37.8% of total)
ival-sqrt: 2.0ms (25.2% of total)
adjust: 1.0ms (12.6% of total)
ival-add!: 1.0ms (12.6% of total)
ival-div!: 1.0ms (12.6% of total)
ival-neg: 1.0ms (12.6% of total)
ival-sub!: 0.0ms (0% of total)

bsearch19.0ms (0.5%)

Memory
-11.9MiB live, 30.2MiB allocated; 6ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
8.955740805445649e-243
7.870403687653973e-242
Samples
9.0ms94×0valid
3.0ms44×0invalid
0.0ms2×1valid
Compiler

Compiled 284 to 228 computations (19.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add!: 4.0ms (46.5% of total)
ival-mult!: 2.0ms (23.2% of total)
ival-sqrt: 1.0ms (11.6% of total)
ival-div!: 1.0ms (11.6% of total)
ival-neg: 1.0ms (11.6% of total)
adjust: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
8.955740805445649e-243
7.870403687653973e-242
Compiler

Compiled 284 to 228 computations (19.7% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
8.955740805445649e-243
7.870403687653973e-242
Compiler

Compiled 296 to 222 computations (25% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
8.955740805445649e-243
7.870403687653973e-242
Compiler

Compiled 296 to 222 computations (25% saved)

bsearch33.0ms (0.9%)

Memory
-15.1MiB live, 42.6MiB allocated; 21ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
31.0ms
126747929625267.05
2081434658262762.0
Samples
16.0ms39×1valid
6.0ms37×2valid
2.0ms33×0valid
1.0ms3×3valid
1.0ms13×0invalid
Compiler

Compiled 447 to 312 computations (30.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sub!: 12.0ms (55.3% of total)
ival-mult!: 3.0ms (13.8% of total)
adjust: 2.0ms (9.2% of total)
ival-sqrt: 2.0ms (9.2% of total)
ival-add!: 1.0ms (4.6% of total)
ival-div!: 1.0ms (4.6% of total)
ival-neg: 1.0ms (4.6% of total)

derivations276.0ms (7.2%)

Memory
-6.4MiB live, 315.5MiB allocated; 27ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 1 051 to 147 computations (86% saved)

preprocess125.0ms (3.3%)

Memory
32.5MiB live, 319.0MiB allocated; 30ms collecting garbage
Compiler

Compiled 2 136 to 318 computations (85.1% saved)

end0.0ms (0%)

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

Profiling

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