Cubic critical

Time bar (total: 3.4s)

start0.0ms (0%)

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

analyze99.0ms (3%)

Memory
-3.8MiB live, 38.4MiB allocated; 2ms 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 (35.2%)

Memory
24.0MiB live, 427.3MiB allocated; 47ms collecting garbage
Samples
325.0ms5 580×74valid
196.0ms1 041×2368valid
121.0ms742×1184valid
57.0ms415×592valid
57.0ms951×74invalid
40.0ms187×4736valid
22.0ms201×296valid
8.0ms90×148valid
Precisions
Click to see histograms. Total time spent on operations: 567.0ms
ival-sqrt: 155.0ms (27.3% of total)
ival-mult!: 138.0ms (24.3% of total)
ival-div!: 96.0ms (16.9% of total)
ival-add!: 50.0ms (8.8% of total)
ival-neg: 49.0ms (8.6% of total)
ival-sub!: 48.0ms (8.5% of total)
adjust: 30.0ms (5.3% of total)
Bogosity

explain142.0ms (4.2%)

Memory
4.2MiB live, 77.4MiB allocated; 2ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1310-1(4.581623909320887e-209 1.5114403391748462e-256 -3.673440699410002e-108)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
530-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
80-0-(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
20-0-(-.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-rescue1260
↳(*.f64 b b)overflow96
↳(*.f64 (*.f64 #s(literal 3 binary64) a) c)overflow40
↳(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))overflow126
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))cancellation531
/.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/n80
↳(*.f64 (*.f64 #s(literal 3 binary64) a) c)underflow23
↳(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))underflow4
↳(*.f64 b b)underflow37
↳(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))underflow23
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))uflow-rescue40
↳(*.f64 b b)underflow37
↳(*.f64 (*.f64 #s(literal 3 binary64) a) c)underflow23
↳(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))underflow4
-.f64(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))nan-rescue20
↳(*.f64 b b)overflow96
↳(*.f64 (*.f64 #s(literal 3 binary64) a) c)overflow40
Confusion
Predicted +Predicted -
+1441
-1596
Precision
0.9056603773584906
Recall
0.993103448275862
Confusion?
Predicted +Predicted MaybePredicted -
+14401
-15195
Precision?
0.9
Recall?
0.993103448275862
Freqs
test
numberfreq
097
1125
234
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms360×74valid
18.0ms76×2368valid
6.0ms30×1184valid
4.0ms22×592valid
2.0ms8×4736valid
1.0ms8×296valid
1.0ms8×148valid
Compiler

Compiled 153 to 40 computations (73.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-sqrt: 9.0ms (28.1% of total)
ival-mult!: 8.0ms (25% of total)
ival-div!: 6.0ms (18.7% of total)
ival-add!: 3.0ms (9.4% of total)
ival-sub!: 3.0ms (9.4% of total)
adjust: 2.0ms (6.2% of total)
ival-neg: 2.0ms (6.2% of total)

preprocess37.0ms (1.1%)

Memory
-21.4MiB live, 7.8MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053175
1167168
2475168
3920168
41418168
51594168
61646168
01217
02017
13617
28917
318017
430117
538217
640617
743117
043116
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
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))
Outputs
(/.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 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶46.3%
(/.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 17 to 12 computations (29.4% saved)

series30.0ms (0.9%)

Memory
-4.0MiB live, 11.0MiB allocated; 2ms 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
6.0ms
a
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* b b) (* (* 3 a) c) (* 3 a) 3 a c)
4.0ms
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)
4.0ms
a
@inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c)) (* b b) (* (* 3 a) c) (* 3 a) 3 a c)
3.0ms
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
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)

rewrite132.0ms (3.9%)

Memory
4.3MiB live, 33.3MiB allocated; 5ms 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
-3.6MiB live, 14.0MiB allocated; 2ms collecting garbage
Compiler

Compiled 5 861 to 935 computations (84% saved)

prune12.0ms (0.3%)

Memory
4.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New14917166
Fresh000
Picked101
Done000
Total15017167
Accuracy
99.6%
Counts
167 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.3%
(/.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)
▶46.3%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
46.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
29.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
12.1%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a))
11.9%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
28.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
37.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
23.5%
(/.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))
45.5%
(+.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))))
▶28.0%
#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))
31.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
30.6%
#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))
19.6%
#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)))
▶20.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
▶36.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
▶37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
Compiler

Compiled 804 to 592 computations (26.4% saved)

series55.0ms (1.6%)

Memory
3.1MiB live, 26.2MiB allocated; 3ms collecting garbage
Counts
38 → 186
Calls
Call 1
Inputs
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(*.f64 #s(literal -3 binary64) a)
#s(literal -3 binary64)
a
c
(*.f64 b b)
b
(neg.f64 b)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
#s(literal -2/3 binary64)
(/.f64 b a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))
(*.f64 (/.f64 c a) #s(literal -3 binary64))
(/.f64 c a)
#s(literal -1/3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
(/.f64 c (*.f64 b b))
#s(literal -1/2 binary64)
(/.f64 #s(literal 2/3 binary64) a)
#s(literal 2/3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))
(*.f64 (*.f64 c c) a)
(*.f64 c c)
#s(literal -3/8 binary64)
(*.f64 #s(literal -1/2 binary64) c)
Outputs
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2))))
#s(approx (* -3 a) #s(hole binary64 (* -3 a)))
#s(approx a #s(hole binary64 a))
#s(approx (* 3 a) #s(hole binary64 (* 3 a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (* -2/3 (/ b a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -3))))
#s(approx (* (/ c a) -3) #s(hole binary64 (* -3 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (/ 2/3 a)))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)))
#s(approx (/ 2/3 a) #s(hole binary64 (/ 2/3 a)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1/2 c)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))))
#s(approx (/ (* (* c c) a) (* b b)) #s(hole binary64 (/ (* a (pow c 2)) (pow b 2))))
#s(approx (* (* c c) a) #s(hole binary64 (* a (pow c 2))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -3 (* a c))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (* (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 (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) #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 (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (* (neg b) (+ (* (/ 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 (/ c (* b b)) #s(hole binary64 (/ c (pow b 2))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (* (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 (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (* (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 (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (* -1/2 c) #s(hole binary64 (* -1/2 c)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (* (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 (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) #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
@0
((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) b (neg b) (* 3 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ c (* b b)) -1/2 (/ 2/3 a) 2/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) -3/8 (* -1/2 c))
8.0ms
a
@0
((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) b (neg b) (* 3 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ c (* b b)) -1/2 (/ 2/3 a) 2/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) -3/8 (* -1/2 c))
7.0ms
c
@inf
((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) b (neg b) (* 3 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ c (* b b)) -1/2 (/ 2/3 a) 2/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) -3/8 (* -1/2 c))
5.0ms
c
@-inf
((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) b (neg b) (* 3 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ c (* b b)) -1/2 (/ 2/3 a) 2/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) -3/8 (* -1/2 c))
5.0ms
a
@-inf
((/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -3 a) c) (* b b))) (+ (* (* -3 a) c) (* b b)) (* -3 a) -3 a c (* b b) b (neg b) (* 3 a) 3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) -2/3 (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (sqrt (* (/ c a) -3)) -1/3) (sqrt (* (/ c a) -3)) (* (/ c a) -3) (/ c a) -1/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ c (* b b)) -1/2 (/ 2/3 a) 2/3 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) -3/8 (* -1/2 c))

rewrite156.0ms (4.6%)

Memory
-0.1MiB live, 38.0MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08807526
09187040
047196855
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
224 → 316
Calls
Call 1
Inputs
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(*.f64 #s(literal -3 binary64) a)
#s(literal -3 binary64)
a
c
(*.f64 b b)
b
(neg.f64 b)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
#s(literal -2/3 binary64)
(/.f64 b a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))
(*.f64 (/.f64 c a) #s(literal -3 binary64))
(/.f64 c a)
#s(literal -1/3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
(/.f64 c (*.f64 b b))
#s(literal -1/2 binary64)
(/.f64 #s(literal 2/3 binary64) a)
#s(literal 2/3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))
(*.f64 (*.f64 c c) a)
(*.f64 c c)
#s(literal -3/8 binary64)
(*.f64 #s(literal -1/2 binary64) c)
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2))))
#s(approx (* -3 a) #s(hole binary64 (* -3 a)))
#s(approx a #s(hole binary64 a))
#s(approx (* 3 a) #s(hole binary64 (* 3 a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (* -2/3 (/ b a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (sqrt (* (/ c a) -3)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -3))))
#s(approx (* (/ c a) -3) #s(hole binary64 (* -3 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (/ 2/3 a)))
#s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) #s(hole binary64 (/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)))
#s(approx (/ 2/3 a) #s(hole binary64 (/ 2/3 a)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1/2 c)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))))
#s(approx (/ (* (* c c) a) (* b b)) #s(hole binary64 (/ (* a (pow c 2)) (pow b 2))))
#s(approx (* (* c c) a) #s(hole binary64 (* a (pow c 2))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -3 (* a c))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (* (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 (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) #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 (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (* (neg b) (+ (* (/ 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 (/ c (* b b)) #s(hole binary64 (/ c (pow b 2))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (* (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 (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (* (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 (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (* -1/2 c) #s(hole binary64 (* -1/2 c)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (* (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 (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) #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 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a)))
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#s(approx (* -2/3 (/ b a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ b a) (/.f64 b a))
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#s(approx (* (/ c a) -3) (*.f64 (/.f64 c a) #s(literal -3 binary64)))
#s(approx (/ c a) (/.f64 c a))
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#s(approx (/ 2/3 a) (/.f64 #s(literal 2/3 binary64) a))
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#s(approx (* (* c c) a) (*.f64 (*.f64 c c) a))
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#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 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
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#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 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -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 (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 (/.f64 c a) b) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c a) #s(literal -1/2 binary64))) a))
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#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg 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))))
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#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
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#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
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#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))))
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#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))))
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#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (neg.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c a))) a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 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 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 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 (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 b b)
#s(approx (neg b) (neg.f64 b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (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 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -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 (/ c (* b b)) (/.f64 (/.f64 c b) b))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b))))) b))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))) b))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))))) b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 1 binary64)) b))
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) b) (/.f64 a 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) b) (/.f64 a 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 (*.f64 (*.f64 c c) a) #s(literal -3/8 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 (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 1 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (neg.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)) (*.f64 #s(literal 1/2 binary64) c)) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b))
#s(approx c c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.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 (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal 1/2 binary64)) c))
#s(approx (* c c) (*.f64 c c))
#s(approx (* -1/2 c) (*.f64 #s(literal -1/2 binary64) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)))) c))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c))
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) c))
#s(approx (* (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 (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b c))) (*.f64 c c)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) (*.f64 c c)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/6 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c))) c)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c))) c))) c)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)) c)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 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 (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c)))
#s(approx (+ (* (* -3 a) c) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 3 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/6 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))) c))) c))) c)))
#s(approx (* (sqrt (* (/ c a) -3)) -1/3) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -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)))

eval41.0ms (1.2%)

Memory
-1.9MiB live, 29.0MiB allocated; 5ms collecting garbage
Compiler

Compiled 13 628 to 1 512 computations (88.9% saved)

prune21.0ms (0.6%)

Memory
-2.6MiB live, 22.8MiB allocated; 1ms collecting garbage
Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New35315368
Fresh8412
Picked235
Done000
Total36322385
Accuracy
99.8%
Counts
385 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶46.3%
(/.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)
✓46.3%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
29.3%
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
▶12.1%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a))
11.9%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
36.9%
(/.f64 (+.f64 #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)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
22.5%
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) (*.f64 #s(literal 3 binary64) a))
▶37.1%
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
23.6%
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
23.5%
(/.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))
45.4%
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a)))
19.6%
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
37.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
30.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal 1/2 binary64)) c)) b))
31.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
20.5%
#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)))
✓20.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
36.4%
#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 (pow.f64 a #s(literal -1 binary64)) #s(literal 2/3 binary64)))))
37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
✓37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
▶37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
▶11.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
Compiler

Compiled 1 161 to 826 computations (28.9% saved)

series42.0ms (1.2%)

Memory
0.3MiB live, 23.0MiB allocated; 1ms collecting garbage
Counts
36 → 324
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64)) a)
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
#s(literal -1 binary64)
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(*.f64 #s(literal -3 binary64) a)
#s(literal -3 binary64)
a
c
(*.f64 b b)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b))
#s(literal 1/2 binary64)
(/.f64 c b)
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b))
(*.f64 #s(literal -2 binary64) b)
#s(literal -2 binary64)
(*.f64 #s(literal 3 binary64) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
#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))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 b a)
#s(literal -2/3 binary64)
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)))
(neg.f64 b)
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)
(*.f64 a (/.f64 c b))
#s(literal -3/2 binary64)
Outputs
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (+ b (* -1 b)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (* -1 b))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2))))
#s(approx (* -3 a) #s(hole binary64 (* -3 a)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (* (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 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))))
#s(approx (* 3 a) #s(hole binary64 (* 3 a)))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) #s(hole binary64 (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)))
#s(approx (* (/ b a) -2/3) #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 (- (* 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 (+ (* (* a (/ c b)) -3/2) b) #s(hole binary64 b))
#s(approx (+ (* (* a (/ c b)) -3/2) b) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b)))))
#s(approx (* a (/ c b)) #s(hole binary64 (/ (* a c) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -3 (* a c))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* 1/2 (/ c b))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) #s(hole binary64 (* 1/2 (/ c b))))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) #s(hole binary64 (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (+ (* (* a (/ c b)) -3/2) b) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (* (* a (/ c b)) -3/2) b) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (/ b a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (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 (+ (* (* a (/ c b)) -3/2) b) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx b #s(hole binary64 b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)))
#s(approx (* 1/2 (/ c b)) #s(hole binary64 (* 1/2 (/ c b))))
#s(approx (/ c b) #s(hole binary64 (/ c b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (* -2 b) #s(hole binary64 (* -2 b)))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) #s(hole binary64 (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))))
#s(approx (+ (* (* a (/ c b)) -3/2) b) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (pow b 2)) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/2 (/ (* a c) b))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) #s(hole binary64 (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (* (* a (/ c b)) -3/2) b) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -2/3 b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (+ (* (* a (/ c b)) -3/2) b) #s(hole binary64 (* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))))
#s(approx (+ (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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) #s(hole binary64 (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (+ (* (* a (/ c b)) -3/2) b) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (/ b c)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (* (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 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) #s(hole binary64 (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (+ (* (* a (/ c b)) -3/2) b) #s(hole binary64 (* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b)))))))
Calls

9 calls:

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

rewrite211.0ms (6.3%)

Memory
3.3MiB live, 63.9MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114114223
0117013253
1613213070
0823112654
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
360 → 441
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64)) a)
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
#s(literal -1 binary64)
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(*.f64 #s(literal -3 binary64) a)
#s(literal -3 binary64)
a
c
(*.f64 b b)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b))
#s(literal 1/2 binary64)
(/.f64 c b)
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b))
(*.f64 #s(literal -2 binary64) b)
#s(literal -2 binary64)
(*.f64 #s(literal 3 binary64) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
#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))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 b a)
#s(literal -2/3 binary64)
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)))
(neg.f64 b)
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)
(*.f64 a (/.f64 c b))
#s(literal -3/2 binary64)
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (+ b (* -1 b)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (* -1 b))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (+ (* -3 (* a c)) (pow b 2))))
#s(approx (* -3 a) #s(hole binary64 (* -3 a)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (* (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 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))))
#s(approx (* 3 a) #s(hole binary64 (* 3 a)))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) #s(hole binary64 (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)))
#s(approx (* (/ b a) -2/3) #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 (- (* 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 (+ (* (* a (/ c b)) -3/2) b) #s(hole binary64 b))
#s(approx (+ (* (* a (/ c b)) -3/2) b) #s(hole binary64 (+ b (* -3/2 (/ (* a c) b)))))
#s(approx (* a (/ c b)) #s(hole binary64 (/ (* a c) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -3 (* a c))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* a (+ (* -3 c) (/ (pow b 2) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* 1/2 (/ c b))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) #s(hole binary64 (* 1/2 (/ c b))))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) #s(hole binary64 (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (+ (* (* a (/ c b)) -3/2) b) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (* (* a (/ c b)) -3/2) b) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (/ b a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (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 (+ (* (* a (/ c b)) -3/2) b) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx b #s(hole binary64 b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)))
#s(approx (* 1/2 (/ c b)) #s(hole binary64 (* 1/2 (/ c b))))
#s(approx (/ c b) #s(hole binary64 (/ c b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (* -2 b) #s(hole binary64 (* -2 b)))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) #s(hole binary64 (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))))
#s(approx (+ (* (* a (/ c b)) -3/2) b) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (pow b 2)) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/2 (/ (* a c) b))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) #s(hole binary64 (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (* (* a (/ c b)) -3/2) b) #s(hole binary64 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -2/3 b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (+ (* (* a (/ c b)) -3/2) b) #s(hole binary64 (* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))))
#s(approx (+ (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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* c (+ (* -3 a) (/ (pow b 2) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) #s(hole binary64 (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) #s(hole binary64 (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (+ (* (* a (/ c b)) -3/2) b) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (/ b c)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (+ (* (* -3 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (* (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 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) #s(hole binary64 (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (+ (* (* a (/ c b)) -3/2) b) #s(hole binary64 (* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b)))))))
Outputs
(/.f64 (neg.f64 (/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) #s(literal 3 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) 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 a #s(literal -3 binary64)) c)))) #s(literal 3 binary64)) a)
(/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (neg.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))))) #s(literal -3 binary64))
(/.f64 (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) #s(literal 3 binary64))
(+.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 2 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 3/2 binary64))) (fma.f64 b b (-.f64 (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 2 binary64)) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
(+.f64 (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))
#s(literal -1 binary64)
b
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #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)))
(exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 b b)))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) #s(literal 2 binary64)) (-.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 (pow.f64 b #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #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)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 (neg.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b))) (neg.f64 (*.f64 #s(literal 3 binary64) a)))
(/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b))
(*.f64 #s(literal -2 binary64) b)
(*.f64 b #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 #s(literal 3 binary64) a)
(*.f64 a #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))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.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))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 c b) #s(literal 1/2 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))
(/.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 c b) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal -8/27 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 c b) #s(literal 1/2 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))))
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 c b) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
(fma.f64 #s(literal -2/3 binary64) (/.f64 b a) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
(-.f64 (*.f64 (/.f64 c b) #s(literal 1/2 binary64)) (*.f64 (/.f64 (neg.f64 b) a) #s(literal -2/3 binary64)))
(-.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (/.f64 c b) #s(literal 1/2 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
(+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 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)
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 b a)
#s(literal -2/3 binary64)
(/.f64 (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b))) #s(literal 3 binary64)) a)
(/.f64 (neg.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)))) (neg.f64 (*.f64 #s(literal 3 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)) #s(literal 2 binary64))) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)) #s(literal 2 binary64)) (*.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b))))))
(fma.f64 b #s(literal -1 binary64) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)))
(fma.f64 #s(literal -1 binary64) b #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)))
(+.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)) (neg.f64 b))
(*.f64 b #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) b)
(neg.f64 b)
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 b b)) (-.f64 (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64)) b))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64))) (-.f64 b (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 c a) b) #s(literal 3 binary64)) #s(literal -27/8 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64)) b))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64)) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 b (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64))))))
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)
(fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b) b)
(fma.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) b)
(-.f64 b (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64)) b)
(+.f64 b (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64)))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(/.f64 (neg.f64 (*.f64 c a)) (neg.f64 b))
(/.f64 (*.f64 c a) b)
#s(literal -3/2 binary64)
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))) a))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))) a))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))) a))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal 0 binary64) b))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (+.f64 (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) (neg.f64 b)) b))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 #s(literal 0 binary64) b (*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 #s(literal 0 binary64) b (*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) b)
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) 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 (/.f64 c b) #s(literal -3/2 binary64))) a b))
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 b b))
#s(approx (+ (* (* -3 a) c) (* b b)) (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
#s(approx (* -3 a) (*.f64 a #s(literal -3 binary64)))
#s(approx a a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (* (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 (/.f64 (*.f64 c a) b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) a))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b 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 (/.f64 c b) #s(literal -3/2 binary64))) a))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a))
#s(approx (* 3 a) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) (/.f64 (fma.f64 (/.f64 (*.f64 c a) b) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) a))
#s(approx (* (/ b a) -2/3) (*.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 (/.f64 (*.f64 c a) 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 (/.f64 c b) #s(literal -3/2 binary64))) 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 (/.f64 c b) #s(literal -3/2 binary64))) 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 (/.f64 c b) #s(literal -3/2 binary64))) a))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (/.f64 (*.f64 c a) 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 (/.f64 c b) #s(literal -3/2 binary64))) 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 (/.f64 c b) #s(literal -3/2 binary64))) a b))
#s(approx (+ (* (* a (/ c b)) -3/2) b) b)
#s(approx (+ (* (* a (/ c b)) -3/2) b) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b))
#s(approx (* a (/ c b)) (/.f64 (*.f64 c a) b))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (/ (+ (* -1 b) (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) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -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))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) a))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) a))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))) a))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (fma.f64 (*.f64 #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 (+ (* (* -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))) (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 (+ (* (* -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) (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 (+ (* (* -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))) (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 (+ (* (* -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))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))) #s(literal -1/2 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a))
#s(approx (+ (* (* -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) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
#s(approx (/ (/ (+ (* -1 b) (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) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -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))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a))) a))
#s(approx (+ (* -1 b) (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))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) a))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 (*.f64 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) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) (/.f64 b a)))) a))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (sqrt.f64 (*.f64 (*.f64 a #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 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))))) a))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))) #s(literal -1/2 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))) a))
#s(approx (+ (* (* a (/ c b)) -3/2) b) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64)))
#s(approx (+ (* (* a (/ c b)) -3/2) b) (*.f64 (fma.f64 (/.f64 c b) #s(literal -3/2 binary64) (/.f64 b a)) a))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal -1/3 binary64)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) a)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (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 (+ (* (* -3 a) c) (* b b)))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) a)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #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 (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (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) (* 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 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (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 (+ (* (* -3 a) c) (* b b))) (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 (+ (* (* -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 #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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (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 (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) a)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.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)))) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (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)) 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 (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) (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)))) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (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)) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 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 (+ (* (* a (/ c b)) -3/2) b) (neg.f64 (*.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 c b) (/.f64 (neg.f64 b) a)) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -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))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (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 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.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 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.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)))) 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) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.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 a #s(literal -3 binary64)) c))))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (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 -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (pow.f64 #s(literal -3 binary64) #s(literal -3/2 binary64)) (*.f64 (*.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 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) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b))
#s(approx (* 1/2 (/ c b)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
#s(approx (/ c b) (/.f64 c b))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -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))) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.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)))) 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 (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (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) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.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)))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (neg b) (neg.f64 b))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#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 a #s(literal -3 binary64)) c))))
#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 -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -3 binary64)))) (pow.f64 #s(literal -3 binary64) #s(literal -3/2 binary64)) (*.f64 (*.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 b b))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))))
#s(approx (+ (* (* a (/ c b)) -3/2) b) (/.f64 (fma.f64 (*.f64 c a) #s(literal -3/2 binary64) (*.f64 b b)) b))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b b))))) b))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))) b))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))))) b))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))) b))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))))) b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) b))
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#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))
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#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))) b))
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#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 c b) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) a)) b))
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#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) b))
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#s(approx (+ (* (* a (/ c b)) -3/2) b) (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) b))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
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#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -1/2 binary64) #s(literal 2/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -1/2 binary64) #s(literal 2/3 binary64)) (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
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#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64))))
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#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))))
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#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 (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (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 (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 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 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 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 (+ (* (* a (/ c b)) -3/2) b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal 1 binary64))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (/.f64 c b) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 #s(literal 0 binary64) b (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (fma.f64 #s(literal 0 binary64) b (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b))
#s(approx c c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (-.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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.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 (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))
#s(approx (+ (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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (*.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)))))) c))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.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 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (*.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))))))) c))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (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 (+ (* (* -3 a) c) (* b b)))) 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 (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (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 (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c))
#s(approx (+ (* (* -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 (*.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 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (*.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)))))) 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 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (*.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))))))) c))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (*.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)))))) c))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (*.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 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (*.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))))))) c))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) c))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)))) c))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c)))) c))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))))) c))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))))) c))
#s(approx (+ (* (* a (/ c b)) -3/2) b) (*.f64 (fma.f64 (/.f64 a b) #s(literal -3/2 binary64) (/.f64 b c)) c))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 #s(literal -1/3 binary64) (/.f64 b a))) c))) c)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 #s(literal -1/3 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (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 (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c))) c)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #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 (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (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 (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)) c)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #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 (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (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 (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (sqrt (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (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 (+ (* (* -3 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (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 (+ (* (* -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 (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 #s(literal -1/3 binary64) (/.f64 b a))) c))) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 #s(literal -1/3 binary64) (/.f64 b a))) c))) c)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 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 #s(literal -1/3 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (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 (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)) c)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.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)))) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (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)) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (* 1/2 (/ c b)) (* (/ b a) -2/3)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)) (/.f64 #s(literal 1/2 binary64) b)) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 c a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (/.f64 (*.f64 (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)) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (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 (+ (* (* a (/ c b)) -3/2) b) (neg.f64 (*.f64 (fma.f64 (/.f64 a b) #s(literal 3/2 binary64) (/.f64 (neg.f64 b) c)) c)))

eval47.0ms (1.4%)

Memory
3.3MiB live, 34.0MiB allocated; 5ms collecting garbage
Compiler

Compiled 17 455 to 1 874 computations (89.3% saved)

prune25.0ms (0.7%)

Memory
2.0MiB live, 27.0MiB allocated; 2ms collecting garbage
Pruning

27 alts after pruning (21 fresh and 6 done)

PrunedKeptTotal
New43012442
Fresh5914
Picked235
Done033
Total43727464
Accuracy
99.8%
Counts
464 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.3%
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) #s(literal 3 binary64)) a)
▶37.1%
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
23.5%
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 3 binary64)) a)
✓46.3%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
29.3%
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
✓12.1%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a))
11.9%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(approx (+ (* (* a (/ c b)) -3/2) b) b))) (*.f64 #s(literal 3 binary64) a))
21.3%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64)))) a)
29.2%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b))) a)
24.1%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) a)
23.5%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))) a)
37.1%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
22.5%
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) (*.f64 #s(literal 3 binary64) a))
✓37.1%
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
▶23.6%
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
23.5%
(/.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))
▶45.4%
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a)))
19.6%
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
▶30.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal 1/2 binary64)) c)) b))
31.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
20.5%
#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)))
✓20.6%
#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)))
37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
✓37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))))
✓37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
▶11.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
Compiler

Compiled 1 423 to 1 037 computations (27.1% saved)

series53.0ms (1.6%)

Memory
-1.3MiB live, 29.2MiB allocated; 2ms collecting garbage
Counts
37 → 344
Calls
Call 1
Inputs
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
(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))
b
(*.f64 (*.f64 a #s(literal -3 binary64)) c)
(*.f64 a #s(literal -3 binary64))
a
#s(literal -3 binary64)
c
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a))
(neg.f64 b)
#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 #s(literal 1/2 binary64) c) b)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b)
(*.f64 #s(literal 1/2 binary64) c)
#s(literal 1/2 binary64)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b))
(*.f64 #s(literal -2 binary64) b)
#s(literal -2 binary64)
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
(sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal 1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal 1/2 binary64)) c)) b)
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal 1/2 binary64)) c))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal 1/2 binary64)) c)
(-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b))
(*.f64 #s(literal -3/8 binary64) (*.f64 c a))
#s(literal -3/8 binary64)
(*.f64 c a)
(*.f64 b b)
Outputs
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (/ (+ (* -1/3 b) (* 1/3 b)) a)))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b))) a)))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 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 (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 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 (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* 1/3 (/ b a))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 b)) a)))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a)))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #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)))))))) a)))
#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 (* 3 a) #s(hole binary64 (* 3 a)))
#s(approx (/ (neg b) (* 3 a)) #s(hole binary64 (* -1/3 (/ b 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (+ b (* -1 b)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (* -1 b))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (* (* a -3) c)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1/2 c)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) #s(hole binary64 (* -1/2 c)))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) #s(hole binary64 (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(hole binary64 (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)))
#s(approx (/ (* -3/8 (* c a)) (* b b)) #s(hole binary64 (* -3/8 (/ (* a c) (pow b 2)))))
#s(approx (* -3/8 (* c a)) #s(hole binary64 (* -3/8 (* a c))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* 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) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* -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) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* -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) (* (* 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(hole binary64 (* -3/8 (/ (* a c) (pow b 2)))))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(hole binary64 (* a (- (* -3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (+ (* -1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (* (* a -3) c)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* (pow b 2) (+ (* -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)))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* (pow b 2) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))))
#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 b #s(hole binary64 b))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (* (neg b) (+ (* (/ 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (* -2 b) #s(hole binary64 (* -2 b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(hole binary64 (/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* 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))) (* 1/3 (/ 1 a))))))))
#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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/2 (/ (* a c) b))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* -1/3 (/ b a))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (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))) (* 1/3 (/ 1 a))))))))
#s(approx (/ (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))) (* 1/3 (/ 1 a)))))))))
#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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -2/3 b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ b a)))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (+ (* -1/2 (/ c b)) (+ (* -1/3 (/ b a)) (* 1/3 (/ b a))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 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 (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 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 (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ b a)))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* 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 (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 (* 1/2 c) #s(hole binary64 (* 1/2 c)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (sqrt (+ (* 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(hole binary64 (* c (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(hole binary64 (* -1 (* c (+ (* 3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))))
Calls

9 calls:

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

rewrite215.0ms (6.4%)

Memory
1.2MiB live, 64.8MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0130215611
0133414213
1719914213
0834713754
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
381 → 455
Calls
Call 1
Inputs
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
(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))
b
(*.f64 (*.f64 a #s(literal -3 binary64)) c)
(*.f64 a #s(literal -3 binary64))
a
#s(literal -3 binary64)
c
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a))
(neg.f64 b)
#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 #s(literal 1/2 binary64) c) b)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b)
(*.f64 #s(literal 1/2 binary64) c)
#s(literal 1/2 binary64)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
(/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b))
(*.f64 #s(literal -2 binary64) b)
#s(literal -2 binary64)
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)))
(sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal 1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal 1/2 binary64)) c)) b)
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal 1/2 binary64)) c))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal 1/2 binary64)) c)
(-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b))
(*.f64 #s(literal -3/8 binary64) (*.f64 c a))
#s(literal -3/8 binary64)
(*.f64 c a)
(*.f64 b b)
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (/ (+ (* -1/3 b) (* 1/3 b)) a)))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b))) a)))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 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 (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 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 (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* 1/3 (/ b a))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 b)) a)))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (/ (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a)))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #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)))))))) a)))
#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 (* 3 a) #s(hole binary64 (* 3 a)))
#s(approx (/ (neg b) (* 3 a)) #s(hole binary64 (* -1/3 (/ b 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (/ (+ b (* -1 b)) a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b)))) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (+ b (* -1 b)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/2 (/ (* a c) b)) (* 1/3 (+ b (* -1 b))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (* -1 b))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -3/2 (/ (* a c) b)) (* -1 b)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))))
#s(approx (sqrt (* (* a -3) c)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1/2 c)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) #s(hole binary64 (* -1/2 c)))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) #s(hole binary64 (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(hole binary64 (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)))
#s(approx (/ (* -3/8 (* c a)) (* b b)) #s(hole binary64 (* -3/8 (/ (* a c) (pow b 2)))))
#s(approx (* -3/8 (* c a)) #s(hole binary64 (* -3/8 (* a c))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* 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) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* -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) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* -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) (* (* 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* 1/3 (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -3))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) #s(hole binary64 (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(hole binary64 (* -3/8 (/ (* a c) (pow b 2)))))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(hole binary64 (* a (- (* -3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (+ (* -1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (sqrt (* (* a -3) c)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(hole binary64 (* -1 (* a (+ (* 3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* (pow b 2) (+ (* -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)))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* (pow b 2) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))))
#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 b #s(hole binary64 b))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (* (neg b) (+ (* (/ 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (* -2 b) #s(hole binary64 (* -2 b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) #s(hole binary64 (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(hole binary64 (/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* 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))) (* 1/3 (/ 1 a))))))))
#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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1/2 (/ c b))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1/2 (/ (* a c) b))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -3/2 (/ (* a c) b))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* -1/3 (/ b a))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a)))))))
#s(approx (/ (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))) (* 1/3 (/ 1 a))))))))
#s(approx (/ (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))) (* 1/3 (/ 1 a)))))))))
#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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -2/3 b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -2/3 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (+ (* -1/3 (/ b a)) (* 1/3 (/ b a)))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (+ (* -1/2 (/ c b)) (+ (* -1/3 (/ b a)) (* 1/3 (/ b a))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 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 (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 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 (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ b a)))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (+ (* 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 (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 (* 1/2 c) #s(hole binary64 (* 1/2 c)))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* -1/2 (/ c b)) (* 1/3 (/ (+ b (* -1 b)) a)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (+ (* 1/3 (/ (+ b (* -1 b)) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (+ (* 1/3 (+ b (* -1 b))) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) #s(hole binary64 (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (sqrt (+ (* 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) #s(hole binary64 (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(hole binary64 (* c (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (/ (neg b) (* 3 a))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* 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 (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(hole binary64 (* -1 (* c (+ (* 3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (*.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 (/.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) a) (/.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) a))) (-.f64 (/.f64 (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) #s(literal 3 binary64)) a)))
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (*.f64 #s(literal 3 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (*.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 (*.f64 (/.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) a) (/.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) a)) (*.f64 (/.f64 (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) #s(literal 3 binary64)) a)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))))) (neg.f64 (*.f64 #s(literal 3 binary64) a)))
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#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal 0 binary64) b))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (+.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b) (neg.f64 b)) b))
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#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg 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))) (neg b)) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a))
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#s(approx (sqrt (* (* a -3) c)) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (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 (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (fma.f64 (*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) (*.f64 #s(literal -1/2 binary64) c))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) (fma.f64 (*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) (-.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 c a) b)) #s(literal 1/2 binary64)))
#s(approx (/ (* -3/8 (* c a)) (* b b)) (*.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 c a) b)))
#s(approx (* -3/8 (* c a)) (*.f64 (*.f64 c a) #s(literal -3/8 binary64)))
#s(approx (* c a) (*.f64 c a))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (pow.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1 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 (/ (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 (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 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 (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 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 (pow.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1 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 (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 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 (pow.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1 binary64)) (pow.f64 c #s(literal 3 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))) (sqrt.f64 (/.f64 (pow.f64 (pow.f64 a #s(literal 7 binary64)) #s(literal -1 binary64)) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/48 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 (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 #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) (* (* 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 (pow.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1 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) (* (* 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 (pow.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1 binary64)) (pow.f64 c #s(literal 3 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))) (sqrt.f64 (/.f64 (pow.f64 (pow.f64 a #s(literal 7 binary64)) #s(literal -1 binary64)) (pow.f64 c #s(literal 5 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) (* (* 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 #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 (pow.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1 binary64)) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal -2/3 binary64) (/.f64 b a) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (pow.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1 binary64)) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) a))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) a))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (pow.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1 binary64)) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))) a))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)) a))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg 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 (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg 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 (pow.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1 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))) (neg b)) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
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#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a)) a)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (*.f64 c a)) #s(literal -1 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 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 (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)) 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 (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (neg.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 (/.f64 c a) b) #s(literal 1/2 binary64))) a)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (neg.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 (/.f64 c a) #s(literal 1/2 binary64))) a)))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) (neg.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 (/.f64 c a) #s(literal 1/2 binary64))) a)))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) (neg.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal 1/2 binary64) a)) a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (pow.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1 binary64)) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (pow.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1 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)))) (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 (pow.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1 binary64)) (pow.f64 c #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (/.f64 (pow.f64 (pow.f64 a #s(literal 7 binary64)) #s(literal -1 binary64)) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/48 binary64))) (*.f64 b b) (*.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)))) (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (sqrt (+ (* b b) (* (* a -3) c))) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 c a)) #s(literal -1 binary64)) (/.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) (pow.f64 (sqrt.f64 (*.f64 c a)) #s(literal -1 binary64))) (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) (pow.f64 (sqrt.f64 (*.f64 c a)) #s(literal -1 binary64))) (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 #s(literal -3 binary64) a) c))))
#s(approx b b)
#s(approx (neg b) (neg.f64 b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (pow.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1 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 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (pow.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1 binary64)) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sqrt.f64 (*.f64 c a)) #s(literal -1 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/3 binary64)) b (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sqrt.f64 (*.f64 c a)) #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)) (*.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))))) 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 (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (*.f64 c a)) #s(literal -1 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (*.f64 c a)) #s(literal -1 binary64))) (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 (* -2 b) (*.f64 #s(literal -2 binary64) b))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (pow.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1 binary64)) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (*.f64 c a)) #s(literal -1 binary64))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (*.f64 c a)) #s(literal -1 binary64))) (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 (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b)))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b)))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/8 binary64))) (*.f64 b b)))
#s(approx (* b b) (*.f64 b b))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b))))) b))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) a)) b))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (*.f64 (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 1/3 binary64) a))) b))
#s(approx (/ (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 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 1/3 binary64) a)))) 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) b) (/.f64 a 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) b) (/.f64 a 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 (*.f64 (*.f64 c c) a) #s(literal -3/8 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 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
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#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64)))
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#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))) b))
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#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 b b))))) b))
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#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b)))) b))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b b))))) b))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))
#s(approx (/ (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 1/3 binary64) a))))
#s(approx (/ (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 1/3 binary64) a)))))
#s(approx (/ (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 1/3 binary64) a))))))
#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 #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 (/.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 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -1/2 binary64) #s(literal 2/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -1/2 binary64) #s(literal 2/3 binary64)) (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -1/2 binary64)) (*.f64 b b)))) #s(literal 2/3 binary64))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -3/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 c a)) (*.f64 b b)))) #s(literal 2 binary64))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (neg.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)) (*.f64 #s(literal 1/2 binary64) c)) b)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 b a) #s(literal 0 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal 0 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal 0 binary64) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (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 (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (fma.f64 (/.f64 b a) #s(literal 1/3 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
#s(approx (/ (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 b a) #s(literal 1/3 binary64))))
#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 (*.f64 c a) #s(literal -3/8 binary64)) (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 (* 1/2 c) (*.f64 #s(literal 1/2 binary64) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 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 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/8 binary64)) (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 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64))))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg 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 (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg 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))) (neg b)) (* 3 a)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b)) c))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 c a) b)) #s(literal 1/2 binary64)) c))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 c a) b)) #s(literal 1/2 binary64)) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) c))
#s(approx (/ (sqrt (+ (* 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 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))) c))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (*.f64 (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 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 7 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 5/2 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) c))
#s(approx (sqrt (+ (* 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 (pow.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 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 (pow.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 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 (pow.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1 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 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) c))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 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 (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (/.f64 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 (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 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))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) (/.f64 b c))) c))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 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 (/ (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) b) (*.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 c b))) (*.f64 c c)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) (*.f64 c c)))
#s(approx (* (- (/ (* -3/8 (* c a)) (* b b)) 1/2) c) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) (*.f64 c c)))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) c))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 (sqrt.f64 (*.f64 c a)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/6 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c))) c)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 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 (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 (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (neg.f64 (*.f64 (fma.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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64))) c)))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (neg.f64 (*.f64 (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 (*.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))) (fma.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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))) c)))
#s(approx (/ (sqrt (+ (* b b) (* (* a -3) c))) (* 3 a)) (neg.f64 (*.f64 (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 (*.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))) (fma.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 7 binary64)) #s(literal -1 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))) (fma.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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 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 (pow.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 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 (pow.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 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 (pow.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1 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 (pow.f64 (sqrt.f64 (*.f64 c a)) #s(literal -1 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 (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 (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 (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 (sqrt.f64 (*.f64 c a)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/6 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c))) c)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 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 (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 (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c))) c)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (*.f64 c a)) #s(literal -1 binary64))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/3 binary64) b)) c))) c)))
#s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 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 (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)) c)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (*.f64 c a)) #s(literal -1 binary64))) #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 (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg 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 (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 (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 (sqrt.f64 (*.f64 c a)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (/.f64 b a) c))) c)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/6 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c))) c)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 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 (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 (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c)) c)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (*.f64 c a)) #s(literal -1 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 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)) b) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64)))) c)))
#s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) c)) c)))

eval47.0ms (1.4%)

Memory
4.3MiB live, 34.0MiB allocated; 5ms collecting garbage
Compiler

Compiled 18 397 to 1 938 computations (89.5% saved)

prune30.0ms (0.9%)

Memory
-2.6MiB live, 30.5MiB allocated; 1ms collecting garbage
Pruning

28 alts after pruning (18 fresh and 10 done)

PrunedKeptTotal
New4336439
Fresh41216
Picked145
Done066
Total43828466
Accuracy
99.9%
Counts
466 → 28
Alt Table
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StatusAccuracyProgram
29.3%
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) #s(literal 3 binary64)) a)
✓37.1%
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
23.5%
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 3 binary64)) a)
✓46.3%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
29.3%
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
✓12.1%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a))
29.2%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b))) a)
24.1%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) a)
23.5%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))) a)
37.1%
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
22.5%
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) (*.f64 #s(literal 3 binary64) a))
18.1%
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a))
✓37.1%
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
23.5%
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
✓23.6%
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
44.5%
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (neg b) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
19.6%
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
8.8%
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 b a) #s(literal 0 binary64)))
✓30.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal 1/2 binary64)) c)) b))
31.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) c)) c)) b))
31.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(literal -1/2 binary64)) c)) b))
20.5%
#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)))
✓20.6%
#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)))
37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
✓37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))))
✓37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
✓11.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
Compiler

Compiled 2 303 to 892 computations (61.3% saved)

regimes74.0ms (2.2%)

Memory
-3.9MiB live, 31.0MiB allocated; 11ms collecting garbage
Counts
51 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 b a) #s(literal 0 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(approx (+ (* (* a (/ c b)) -3/2) b) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#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 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b))) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 3 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal 1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) 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 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) c)) c)) b))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (neg b) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
(/.f64 (+.f64 #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)))) (neg.f64 b)) (*.f64 #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 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a)))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -3 binary64))) #s(literal 1/3 binary64) (*.f64 (/.f64 b c) #s(literal -1/3 binary64))) c)) a)
#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 (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 (-.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 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64)))) 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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
Calls

5 calls:

21.0ms
a
13.0ms
c
13.0ms
(*.f64 #s(literal 3 binary64) a)
12.0ms
b
11.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
61.8%6(*.f64 #s(literal 3 binary64) a)
68.7%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))
61.8%6a
83.9%3b
56.5%4c
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes13.0ms (0.4%)

Memory
0.1MiB live, 7.7MiB allocated; 0ms collecting garbage
Counts
44 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 b a) #s(literal 0 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(approx (+ (* (* a (/ c b)) -3/2) b) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#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 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b))) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 3 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal 1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) 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 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) c)) c)) b))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (neg b) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
(/.f64 (+.f64 #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)))) (neg.f64 b)) (*.f64 #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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
83.9%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.3%)

Memory
-2.6MiB live, 6.5MiB allocated; 0ms collecting garbage
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 b a) #s(literal 0 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(approx (+ (* (* a (/ c b)) -3/2) b) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#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 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b))) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 3 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal 1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
83.9%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.3%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 b a) #s(literal 0 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(approx (+ (* (* a (/ c b)) -3/2) b) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#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 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (fma.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b))) a)
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 3 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal 1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) a)) (sqrt.f64 c))) (*.f64 #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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))))
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
80.5%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.3%)

Memory
-2.2MiB live, 5.6MiB allocated; 0ms collecting garbage
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 b a) #s(literal 0 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(approx (+ (* (* a (/ c b)) -3/2) b) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#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))
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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
80.5%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.3%)

Memory
-2.2MiB live, 5.4MiB 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)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 b a) #s(literal 0 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(approx (+ (* (* a (/ c b)) -3/2) b) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1/3 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
#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
#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 #s(literal -2/3 binary64) b) a))))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
80.2%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.2%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 b a) #s(literal 0 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(approx (+ (* (* a (/ c b)) -3/2) b) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a))
Outputs
#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 #s(literal -2/3 binary64) b) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
80.2%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.2%)

Memory
-3.1MiB live, 4.6MiB allocated; 0ms collecting garbage
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 b a) #s(literal 0 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(approx (+ (* (* a (/ c b)) -3/2) b) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) 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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
75.8%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.2%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms 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)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 b a) #s(literal 0 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(approx (+ (* (* a (/ c b)) -3/2) b) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (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)))))
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 #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)) (*.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(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
75.7%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.2%)

Memory
-4.6MiB live, 4.2MiB allocated; 1ms collecting garbage
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 b a) #s(literal 0 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(approx (+ (* (* a (/ c b)) -3/2) b) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c #s(literal -3 binary64)) a)) #s(literal -1/3 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64)))))
#s(approx (/ (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) a) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
Outputs
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
75.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.2%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 b a) #s(literal 0 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(approx (+ (* (* a (/ c b)) -3/2) b) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -3 binary64))) #s(literal -1/3 binary64)))
Outputs
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (sqrt.f64 (*.f64 (/.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(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
73.4%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.2%)

Memory
-4.4MiB live, 3.5MiB allocated; 0ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 b a) #s(literal 0 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(approx (+ (* (* a (/ c b)) -3/2) b) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
Outputs
(/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
66.2%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (* 3 a)) (*.f64 (/.f64 b a) #s(literal 0 binary64)))
(/.f64 #s(approx (/ (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) #s(approx (+ (* (* a (/ c b)) -3/2) b) b))) (*.f64 #s(literal 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
66.1%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0.1%)

Memory
-5.5MiB live, 2.3MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(approx (- (/ (* -3/8 (* c a)) (* b b)) 1/2) #s(literal -1/2 binary64)) c)) b))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
66.0%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0.1%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) 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
66.0%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.2%)

Memory
0.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) 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:

2.0ms
(*.f64 #s(literal 3 binary64) a)
2.0ms
c
2.0ms
a
1.0ms
b
1.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
37.0%1c
37.0%1(*.f64 #s(literal 3 binary64) a)
37.0%1a
37.0%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
45.7%2b
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes7.0ms (0.2%)

Memory
-0.8MiB live, 7.4MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 (*.f64 #s(literal 1/2 binary64) 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
11.8%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
11.8%1(*.f64 #s(literal 3 binary64) a)
11.8%1a
11.8%1c
11.8%1b
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes5.0ms (0.2%)

Memory
-1.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
(*.f64 #s(literal 3 binary64) a)
1.0ms
b
1.0ms
a
1.0ms
c
1.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
11.8%1(*.f64 #s(literal 3 binary64) a)
11.8%1a
11.8%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
11.8%1c
11.8%1b
Compiler

Compiled 23 to 26 computations (-13% saved)

bsearch39.0ms (1.2%)

Memory
5.4MiB live, 13.0MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
2.8491482696227226e-96
9.90904464406149e-90
13.0ms
-3.122869671292503e+38
-1.0929750173285058e+35
Samples
13.0ms225×74valid
4.0ms57×74invalid
2.0ms14×1184valid
2.0ms14×592valid
2.0ms15×296valid
1.0ms2×2368valid
0.0ms2×148valid
Compiler

Compiled 1 055 to 731 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult!: 4.0ms (27.8% of total)
ival-sqrt: 3.0ms (20.8% of total)
ival-div!: 2.0ms (13.9% of total)
ival-neg: 2.0ms (13.9% of total)
adjust: 1.0ms (6.9% of total)
ival-add!: 1.0ms (6.9% of total)
ival-sub!: 1.0ms (6.9% of total)

bsearch3.0ms (0.1%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.8491482696227226e-96
9.90904464406149e-90
1.0ms
-3.122869671292503e+38
-1.0929750173285058e+35
Compiler

Compiled 987 to 714 computations (27.7% saved)

bsearch3.0ms (0.1%)

Memory
-6.2MiB live, 1.5MiB allocated; 1ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.8491482696227226e-96
9.90904464406149e-90
1.0ms
-3.122869671292503e+38
-1.0929750173285058e+35
Compiler

Compiled 987 to 714 computations (27.7% saved)

bsearch23.0ms (0.7%)

Memory
-1.5MiB live, 7.5MiB allocated; 1ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
4.0ms
2.8491482696227226e-96
9.90904464406149e-90
16.0ms
-1.5925122272720834e-9
-4.42284023656333e-17
Samples
9.0ms155×74valid
2.0ms32×74invalid
1.0ms1×2368valid
0.0ms2×296valid
0.0ms1×1184valid
0.0ms1×592valid
Compiler

Compiled 1 172 to 846 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult!: 2.0ms (26.4% of total)
ival-sqrt: 1.0ms (13.2% of total)
ival-add!: 1.0ms (13.2% of total)
ival-div!: 1.0ms (13.2% of total)
ival-neg: 1.0ms (13.2% of total)
adjust: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)

bsearch3.0ms (0.1%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.8491482696227226e-96
9.90904464406149e-90
1.0ms
-1.5925122272720834e-9
-4.42284023656333e-17
Compiler

Compiled 1 172 to 846 computations (27.8% saved)

bsearch18.0ms (0.5%)

Memory
-1.4MiB live, 6.2MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.8491482696227226e-96
9.90904464406149e-90
15.0ms
-1.6327933296256101e-24
-3.809930928870669e-28
Samples
7.0ms128×74valid
2.0ms32×74invalid
Compiler

Compiled 1 123 to 816 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult!: 2.0ms (37.6% of total)
ival-sqrt: 1.0ms (18.8% of total)
ival-neg: 1.0ms (18.8% of total)
ival-div!: 1.0ms (18.8% 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
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.8491482696227226e-96
9.90904464406149e-90
1.0ms
-1.6327933296256101e-24
-3.809930928870669e-28
Compiler

Compiled 1 123 to 816 computations (27.3% saved)

bsearch38.0ms (1.1%)

Memory
4.7MiB live, 12.3MiB allocated; 1ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
2.8491482696227226e-96
9.90904464406149e-90
14.0ms
-7.43794130594667e-43
-1.9258173839893773e-44
Samples
11.0ms187×74valid
4.0ms71×74invalid
3.0ms20×592valid
2.0ms17×296valid
1.0ms8×1184valid
1.0ms6×148valid
0.0ms2×2368valid
Compiler

Compiled 1 088 to 768 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sqrt: 4.0ms (27.9% of total)
ival-mult!: 4.0ms (27.9% of total)
ival-div!: 2.0ms (13.9% of total)
ival-neg: 2.0ms (13.9% of total)
adjust: 1.0ms (7% of total)
ival-add!: 1.0ms (7% of total)
ival-sub!: 1.0ms (7% of total)

bsearch3.0ms (0.1%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.8491482696227226e-96
9.90904464406149e-90
1.0ms
-7.43794130594667e-43
-1.9258173839893773e-44
Compiler

Compiled 1 088 to 768 computations (29.4% saved)

bsearch3.0ms (0.1%)

Memory
-6.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.8491482696227226e-96
9.90904464406149e-90
1.0ms
-7.43794130594667e-43
-1.9258173839893773e-44
Compiler

Compiled 941 to 705 computations (25.1% saved)

bsearch43.0ms (1.3%)

Memory
5.2MiB live, 14.3MiB allocated; 1ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
2.0436045046068624e-108
1.3991012716423498e-98
17.0ms
-9.890136383662851e-126
-2.3019202503099858e-129
Samples
14.0ms243×74valid
5.0ms92×74invalid
2.0ms16×1184valid
2.0ms14×592valid
1.0ms8×148valid
1.0ms6×296valid
0.0ms1×2368valid
Compiler

Compiled 1 054 to 790 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult!: 5.0ms (31.2% of total)
ival-sqrt: 3.0ms (18.7% of total)
ival-div!: 3.0ms (18.7% of total)
ival-neg: 2.0ms (12.5% of total)
adjust: 1.0ms (6.2% of total)
ival-add!: 1.0ms (6.2% of total)
ival-sub!: 1.0ms (6.2% of total)

bsearch15.0ms (0.4%)

Memory
-3.0MiB live, 4.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
4.502686178931256e-303
3.5866012344448157e-302
Samples
5.0ms96×74valid
2.0ms40×74invalid
Compiler

Compiled 386 to 288 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult!: 2.0ms (44.8% of total)
ival-sqrt: 1.0ms (22.4% of total)
ival-neg: 1.0ms (22.4% of total)
ival-div!: 1.0ms (22.4% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.502686178931256e-303
3.5866012344448157e-302
Compiler

Compiled 392 to 276 computations (29.6% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.502686178931256e-303
3.5866012344448157e-302
Compiler

Compiled 392 to 276 computations (29.6% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.502686178931256e-303
3.5866012344448157e-302
Compiler

Compiled 296 to 222 computations (25% saved)

bsearch32.0ms (1%)

Memory
-4.2MiB live, 11.1MiB allocated; 1ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
28.0ms
1.8626942607826743e+40
9.192094328444255e+51
Samples
7.0ms43×1184valid
5.0ms26×2368valid
4.0ms29×592valid
2.0ms44×74valid
1.0ms13×296valid
1.0ms16×74invalid
0.0ms5×148valid
Compiler

Compiled 630 to 438 computations (30.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sqrt: 4.0ms (25.9% of total)
ival-div!: 3.0ms (19.4% of total)
ival-mult!: 3.0ms (19.4% of total)
ival-add!: 2.0ms (13% of total)
adjust: 1.0ms (6.5% of total)
ival-sub!: 1.0ms (6.5% of total)
ival-neg: 1.0ms (6.5% of total)

simplify54.0ms (1.6%)

Memory
4.7MiB live, 13.6MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01591581
12321581
25461541
324501513
458721513
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -5500000000000000159526529262260584448 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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)))) (if (<=.f64 b #s(literal 4586997231980143/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 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)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))))
(if (<=.f64 b #s(literal -5500000000000000159526529262260584448 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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)))) (if (<=.f64 b #s(literal 4586997231980143/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))))
(if (<=.f64 b #s(literal -5500000000000000159526529262260584448 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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)))) (if (<=.f64 b #s(literal 4586997231980143/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))))
(if (<=.f64 b #s(literal -7301667457314601/162259276829213363391578010288128 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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)))) (if (<=.f64 b #s(literal 8944644602361279/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))))
(if (<=.f64 b #s(literal -7301667457314601/162259276829213363391578010288128 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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)))) (if (<=.f64 b #s(literal 8944644602361279/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))))
(if (<=.f64 b #s(literal -2285826382849389/5575186299632655785383929568162090376495104 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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)))) (if (<=.f64 b #s(literal 8944644602361279/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (/.f64 #s(approx (+ (sqrt (+ (* (* -3 a) c) (* b b))) (neg b)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))))
(if (<=.f64 b #s(literal -2285826382849389/5575186299632655785383929568162090376495104 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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)))) (if (<=.f64 b #s(literal 8944644602361279/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 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)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))))
(if (<=.f64 b #s(literal -8637291987892073/401734511064747568885490523085290650630550748445698208825344 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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)))) (if (<=.f64 b #s(literal 6974232053805175/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))))
(if (<=.f64 b #s(literal -8637291987892073/401734511064747568885490523085290650630550748445698208825344 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 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 6974232053805175/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))))
(if (<=.f64 b #s(literal -8637291987892073/401734511064747568885490523085290650630550748445698208825344 binary64)) (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 6974232053805175/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))))
(if (<=.f64 b #s(literal -7316598164803107/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784 binary64)) (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 1156847945382935/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))))
(if (<=.f64 b #s(literal 3706095946789135/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) (/.f64 (/.f64 #s(approx (+ (* -1 b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)))
(if (<=.f64 b #s(literal 3706095946789135/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) #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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)))
(if (<=.f64 b #s(literal 3706095946789135/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)))
(if (<=.f64 b #s(literal 3706095946789135/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal 3200000000000000019840276641304906223845376 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)))
#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
(if (<=.f64 b #s(literal -5500000000000000159526529262260584448 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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)))) (if (<=.f64 b #s(literal 4586997231980143/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 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)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))))
(if (<=.f64 b #s(literal -5500000000000000159526529262260584448 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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)))) (if (<=.f64 b #s(literal 4586997231980143/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))))
(if (<=.f64 b #s(literal -5500000000000000159526529262260584448 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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)))) (if (<=.f64 b #s(literal 4586997231980143/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))))
(if (<=.f64 b #s(literal -5500000000000000159526529262260584448 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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)))) (if (<=.f64 b #s(literal 4586997231980143/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))))
(if (<=.f64 b #s(literal -7301667457314601/162259276829213363391578010288128 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 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)))) (if (<=.f64 b #s(literal 8944644602361279/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -3/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))))
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#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))))

derivations198.0ms (5.9%)

Memory
0.4MiB live, 8.1MiB allocated; 1ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 1 581 to 159 computations (89.9% saved)

preprocess80.0ms (2.4%)

Memory
-3.4MiB live, 50.2MiB allocated; 9ms collecting garbage
Compiler

Compiled 3 196 to 342 computations (89.3% saved)

end0.0ms (0%)

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

Profiling

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