quad2p (problem 3.2.1, positive)

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze104.0ms (3.6%)

Memory
-28.0MiB live, 106.8MiB allocated; 11ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
42.6%40.6%54.6%0.1%0%4.7%0%7
51.2%48.4%46%0.1%0%5.5%0%8
54.5%49.9%41.7%0.1%0%8.2%0%9
60.2%53.4%35.3%0.1%0%11.1%0%10
67.6%58.7%28.2%0.1%0%13%0%11
71.4%60.6%24.2%0.1%0%15.1%0%12
Compiler

Compiled 15 to 12 computations (20% saved)

sample1.5s (50.3%)

Memory
89.1MiB live, 1 103.5MiB allocated; 874ms collecting garbage
Samples
506.0ms1 215×2valid
386.0ms5 502×0valid
149.0ms1 310×1valid
61.0ms1 085×0invalid
54.0ms229×3valid
Precisions
Click to see histograms. Total time spent on operations: 858.0ms
ival-sqrt: 403.0ms (47% of total)
ival-mult!: 159.0ms (18.5% of total)
adjust: 89.0ms (10.4% of total)
ival-div!: 69.0ms (8% of total)
ival-add!: 59.0ms (6.9% of total)
ival-neg: 49.0ms (5.7% of total)
ival-sub!: 30.0ms (3.5% of total)
Bogosity

explain151.0ms (5.2%)

Memory
-41.8MiB live, 207.4MiB allocated; 32ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1010-2(-2.2320981336987104e-270 1.632798135196574e-162 -9.276905899197804e-102)(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
631(1.6426926963155296e-281 5.354477341616428e-182 5.741792786365515e-224)0-(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
150-2(1.6426926963155296e-281 5.354477341616428e-182 5.741792786365515e-224)(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
50-0-(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
00-0-(*.f64 b_2 b_2)
00-0-a
00-0-(neg.f64 b_2)
00-0-b_2
00-0-(*.f64 a c)
00-0-c
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))oflow-rescue930
(*.f64 b_2 b_2)overflow74
(*.f64 a c)overflow29
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))overflow93
+.f64(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))cancellation640
/.f64(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)u/n130
(*.f64 b_2 b_2)underflow32
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))underflow27
(*.f64 a c)underflow38
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))underflow6
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))uflow-rescue60
(*.f64 b_2 b_2)underflow32
(*.f64 a c)underflow38
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))underflow6
-.f64(-.f64 (*.f64 b_2 b_2) (*.f64 a c))nan-rescue50
(*.f64 b_2 b_2)overflow74
(*.f64 a c)overflow29
Confusion
Predicted +Predicted -
+1310
-17108
Precision
0.8851351351351351
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13100
-170108
Precision?
0.8851351351351351
Recall?
1.0
Freqs
test
numberfreq
0108
1118
227
33
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
37.0ms330×0valid
15.0ms90×2valid
11.0ms88×1valid
1.0ms3valid
Compiler

Compiled 117 to 34 computations (70.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-add!: 13.0ms (32.4% of total)
ival-sqrt: 7.0ms (17.5% of total)
ival-mult!: 7.0ms (17.5% of total)
adjust: 5.0ms (12.5% of total)
ival-div!: 4.0ms (10% of total)
ival-sub!: 2.0ms (5% of total)
ival-neg: 2.0ms (5% of total)

preprocess12.0ms (0.4%)

Memory
18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048131
1127129
2247129
3400129
4521129
5574129
6590129
Stop Event
saturated
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.2%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 26 to 20 computations (23.1% saved)

series27.0ms (0.9%)

Memory
-10.5MiB live, 35.7MiB allocated; 4ms collecting garbage
Counts
10 → 106
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(neg.f64 b_2)
b_2
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(*.f64 b_2 b_2)
(*.f64 a c)
a
c
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1/2 (/ (* a c) b_2))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* -1/2 (/ (* a c) b_2)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (pow b_2 2)))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (+ (* -1 (* a c)) (pow b_2 2))))
#s(approx (* a c) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* a c))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* a (- (/ (pow b_2 2) a) c))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx b_2 #s(hole binary64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (- (pow b_2 2) (* a c))))
#s(approx (* b_2 b_2) #s(hole binary64 (pow b_2 2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -2 b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* c (- (/ (pow b_2 2) c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
b_2
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) b_2 (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* b_2 b_2) (* a c) a c)
3.0ms
a
@-inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) b_2 (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* b_2 b_2) (* a c) a c)
3.0ms
a
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) b_2 (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* b_2 b_2) (* a c) a c)
2.0ms
b_2
@-inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) b_2 (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* b_2 b_2) (* a c) a c)
2.0ms
c
@-inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) b_2 (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* b_2 b_2) (* a c) a c)

rewrite167.0ms (5.7%)

Memory
-0.1MiB live, 173.6MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06274205
06383945
035293829
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
116 → 147
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(neg.f64 b_2)
b_2
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(*.f64 b_2 b_2)
(*.f64 a c)
a
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1/2 (/ (* a c) b_2))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* -1/2 (/ (* a c) b_2)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (pow b_2 2)))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (+ (* -1 (* a c)) (pow b_2 2))))
#s(approx (* a c) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* a c))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* a (- (/ (pow b_2 2) a) c))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx b_2 #s(hole binary64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (- (pow b_2 2) (* a c))))
#s(approx (* b_2 b_2) #s(hole binary64 (pow b_2 2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -2 b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* c (- (/ (pow b_2 2) c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))))
Outputs
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))) (neg.f64 a))
(/.f64 (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) a)
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) a))
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) a))
(/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 b_2) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) #s(literal 3 binary64))) (fma.f64 b_2 b_2 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) (*.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))))))
(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (neg.f64 b_2))
(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 b_2 #s(literal -1 binary64))
(neg.f64 b_2)
b_2
(pow.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 c a) (*.f64 c a))) (fma.f64 b_2 b_2 (*.f64 c a)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 a) c) (*.f64 (neg.f64 a) c)) (pow.f64 b_2 #s(literal 4 binary64))) (-.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2)))
(/.f64 (-.f64 (pow.f64 (*.f64 b_2 b_2) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 (*.f64 c a) (*.f64 c a) (*.f64 (*.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 a) c) #s(literal 3 binary64)) (pow.f64 (*.f64 b_2 b_2) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 a) c) (*.f64 (neg.f64 a) c) (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2)))))
(fma.f64 (pow.f64 b_2 #s(literal 1 binary64)) (pow.f64 b_2 #s(literal 1 binary64)) (*.f64 (neg.f64 a) c))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(fma.f64 (fabs.f64 b_2) (fabs.f64 b_2) (*.f64 (neg.f64 a) c))
(fma.f64 #s(literal -1 binary64) (*.f64 c a) (*.f64 b_2 b_2))
(fma.f64 (*.f64 c a) #s(literal -1 binary64) (*.f64 b_2 b_2))
(fma.f64 (neg.f64 b_2) (neg.f64 b_2) (*.f64 (neg.f64 a) c))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2))
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c))
(*.f64 (pow.f64 b_2 #s(literal 1 binary64)) (pow.f64 b_2 #s(literal 1 binary64)))
(*.f64 (fabs.f64 b_2) (fabs.f64 b_2))
(*.f64 (neg.f64 b_2) (neg.f64 b_2))
(*.f64 b_2 b_2)
(pow.f64 b_2 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 2 binary64)))
(*.f64 c a)
(*.f64 a c)
a
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
#s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
#s(approx (* a c) (*.f64 c a))
#s(approx a a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 b_2 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 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 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) (/.f64 b_2 a))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 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 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) (/.f64 b_2 a)))) a))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (sqrt.f64 (*.f64 (neg.f64 a) c)))
#s(approx (sqrt (- (* b_2 b_2) (* 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))) a))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 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 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))) a))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 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 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 #s(literal -1 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))) a))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) a) c) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) b_2) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.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 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) a) #s(literal -1 binary64) b_2) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.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 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) a)) b_2) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 a) (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b_2 b_2) a) c))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (-.f64 (*.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 b_2 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 a #s(literal -1 binary64))) b_2 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (pow.f64 #s(literal -1 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) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) b_2) (pow.f64 a #s(literal -1 binary64))) b_2 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) (neg.f64 b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) b_2 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* 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_2 b_2) (pow.f64 #s(literal -1 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 -1 binary64)) #s(literal -1 binary64)))) b_2) #s(literal 1 binary64)) b_2 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (neg b_2) (neg.f64 b_2))
#s(approx b_2 b_2)
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* 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_2 b_2) (pow.f64 #s(literal -1 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 -1 binary64)) #s(literal -1 binary64)))) (*.f64 b_2 b_2) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* 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 -1 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_2 b_2) (pow.f64 #s(literal -1 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 -1 binary64)) #s(literal -3 binary64)))) (*.f64 b_2 b_2))) (*.f64 b_2 b_2) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
#s(approx (* b_2 b_2) (*.f64 b_2 b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b_2 b_2)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b_2 b_2)))) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64)) a) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b_2 b_2))))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b_2 b_2))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b_2 b_2)))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (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 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b_2 b_2))))) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))) #s(literal 1 binary64)) b_2))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 b_2 b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 2 binary64) a))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 b_2) (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 b_2) (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))) #s(literal 1 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) 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_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 3 binary64)))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 3 binary64)))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 3 binary64)))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c b_2))
#s(approx c c)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* 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_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c)))) c))
#s(approx (sqrt (- (* b_2 b_2) (* 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c))
#s(approx (sqrt (- (* b_2 b_2) (* 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_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))) c))
#s(approx (sqrt (- (* b_2 b_2) (* 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_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 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_2 #s(literal 6 binary64)) (pow.f64 #s(literal -1 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))))) c))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 b_2 a) c))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) a)) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))) c) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.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 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) c)) b_2) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 c) (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 c) (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_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 c) (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_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))))

eval17.0ms (0.6%)

Memory
21.1MiB live, 21.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 4 876 to 810 computations (83.4% saved)

prune9.0ms (0.3%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New14111152
Fresh000
Picked011
Done000
Total14112153
Accuracy
99.3%
Counts
153 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.2%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
32.1%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
10.4%
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
24.1%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c)) a)
34.4%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
26.0%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
23.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)))
28.0%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b_2 b_2)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b_2))
37.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
32.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)) c))
15.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
21.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
Compiler

Compiled 495 to 356 computations (28.1% saved)

series48.0ms (1.6%)

Memory
-23.0MiB live, 30.7MiB allocated; 23ms collecting garbage
Counts
25 → 86
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(/.f64 c b_2)
c
b_2
#s(literal -1/2 binary64)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
(*.f64 #s(literal -2 binary64) b_2)
#s(literal -2 binary64)
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(/.f64 c a)
#s(literal -1 binary64)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c)))
(sqrt.f64 (*.f64 (neg.f64 a) c))
(*.f64 (neg.f64 a) c)
(neg.f64 a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a))
(/.f64 (neg.f64 b_2) a)
(neg.f64 b_2)
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1/2 (/ (* a c) b_2))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))))
#s(approx a #s(hole binary64 a))
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (* (/ c a) -1) #s(hole binary64 (* -1 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (sqrt (* (neg a) c)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (* (neg a) c) #s(hole binary64 (* -1 (* a c))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (/ (+ (* -1 b_2) (* -1 (* (sqrt (* a c)) (sqrt -1)))) a)))
#s(approx (/ (neg b_2) a) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (* (neg a) c)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (/ c b_2) -1/2) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ c b_2) #s(hole binary64 (/ c b_2)))
#s(approx b_2 #s(hole binary64 b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* -2 b_2) #s(hole binary64 (* -2 b_2)))
#s(approx (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -2 b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))))
#s(approx c #s(hole binary64 c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))))
Calls

9 calls:

TimeVariablePointExpression
23.0ms
b_2
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) c b_2 -1/2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) -2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (* (/ c a) -1)) (* (/ c a) -1) (/ c a) -1 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (* (neg a) c)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/ (neg b_2) a) (neg b_2))
4.0ms
b_2
@0
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) c b_2 -1/2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) -2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (* (/ c a) -1)) (* (/ c a) -1) (/ c a) -1 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (* (neg a) c)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/ (neg b_2) a) (neg b_2))
4.0ms
c
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) c b_2 -1/2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) -2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (* (/ c a) -1)) (* (/ c a) -1) (/ c a) -1 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (* (neg a) c)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/ (neg b_2) a) (neg b_2))
3.0ms
c
@0
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) c b_2 -1/2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) -2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (* (/ c a) -1)) (* (/ c a) -1) (/ c a) -1 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (* (neg a) c)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/ (neg b_2) a) (neg b_2))
3.0ms
a
@0
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) c b_2 -1/2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) -2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (* (/ c a) -1)) (* (/ c a) -1) (/ c a) -1 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (* (neg a) c)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/ (neg b_2) a) (neg b_2))

rewrite98.0ms (3.4%)

Memory
27.5MiB live, 73.9MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05383242
05592980
029462913
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
111 → 151
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(/.f64 c b_2)
c
b_2
#s(literal -1/2 binary64)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
(*.f64 #s(literal -2 binary64) b_2)
#s(literal -2 binary64)
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(/.f64 c a)
#s(literal -1 binary64)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c)))
(sqrt.f64 (*.f64 (neg.f64 a) c))
(*.f64 (neg.f64 a) c)
(neg.f64 a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a))
(/.f64 (neg.f64 b_2) a)
(neg.f64 b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1/2 (/ (* a c) b_2))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))))
#s(approx a #s(hole binary64 a))
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (* (/ c a) -1) #s(hole binary64 (* -1 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (sqrt (* (neg a) c)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (* (neg a) c) #s(hole binary64 (* -1 (* a c))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (/ (+ (* -1 b_2) (* -1 (* (sqrt (* a c)) (sqrt -1)))) a)))
#s(approx (/ (neg b_2) a) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (* (neg a) c)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (/ c b_2) -1/2) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ c b_2) #s(hole binary64 (/ c b_2)))
#s(approx b_2 #s(hole binary64 b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* -2 b_2) #s(hole binary64 (* -2 b_2)))
#s(approx (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -2 b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))))
#s(approx c #s(hole binary64 c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(/.f64 (neg.f64 c) (neg.f64 b_2))
(/.f64 c b_2)
c
b_2
#s(literal -1/2 binary64)
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (neg.f64 a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
(*.f64 #s(literal -2 binary64) b_2)
(*.f64 b_2 #s(literal -2 binary64))
#s(literal -2 binary64)
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 (neg.f64 (/.f64 c a)) #s(literal 1/2 binary64))
(sqrt.f64 (neg.f64 (/.f64 c a)))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c a))
(/.f64 (*.f64 c #s(literal -1 binary64)) a)
(/.f64 (*.f64 #s(literal -1 binary64) c) a)
(neg.f64 (/.f64 c a))
(/.f64 (neg.f64 c) (neg.f64 a))
(/.f64 c a)
#s(literal -1 binary64)
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c)))) (neg.f64 a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c)))
(*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(pow.f64 (*.f64 (neg.f64 a) c) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (neg.f64 a) c))
(*.f64 (neg.f64 a) c)
(*.f64 #s(literal -1 binary64) (*.f64 c a))
(*.f64 (*.f64 c a) #s(literal -1 binary64))
(*.f64 c (neg.f64 a))
(neg.f64 (*.f64 c a))
(*.f64 #s(literal -1 binary64) a)
(*.f64 a #s(literal -1 binary64))
(neg.f64 a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)))
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 b_2 a) (sqrt.f64 (neg.f64 (/.f64 c a)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))) (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a))) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) (/.f64 (neg.f64 b_2) a)))
(/.f64 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 3 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) (-.f64 (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a)) (*.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) (/.f64 (neg.f64 b_2) a)))))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) a))
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
(fma.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 (/.f64 c a))) (/.f64 (neg.f64 b_2) a))
(-.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) (*.f64 #s(literal 1 binary64) (/.f64 b_2 a)))
(+.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) (/.f64 (neg.f64 b_2) a))
(+.f64 (/.f64 (neg.f64 b_2) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
(*.f64 (/.f64 b_2 a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b_2 a))
(/.f64 (neg.f64 (neg.f64 b_2)) (neg.f64 a))
(/.f64 (neg.f64 b_2) a)
(neg.f64 (/.f64 b_2 a))
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 b_2 #s(literal -1 binary64))
(neg.f64 b_2)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx a a)
#s(approx (sqrt (* (/ c a) -1)) (sqrt.f64 (neg.f64 (/.f64 c a))))
#s(approx (* (/ c a) -1) (neg.f64 (/.f64 c a)))
#s(approx (/ c a) (/.f64 c a))
#s(approx (sqrt (* (neg a) c)) (sqrt.f64 (*.f64 (neg.f64 a) c)))
#s(approx (* (neg a) c) (*.f64 (neg.f64 a) c))
#s(approx (neg a) (neg.f64 a))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) #s(literal -1 binary64) (neg.f64 b_2)) a))
#s(approx (/ (neg b_2) a) (/.f64 (neg.f64 b_2) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (sqrt.f64 (neg.f64 (/.f64 c a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 (/.f64 c a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 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 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 (/.f64 c a)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (sqrt.f64 (neg.f64 (/.f64 c a)))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 (/.f64 c a)))) (/.f64 b_2 a)) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 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) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 (/.f64 c a)))) (/.f64 b_2 a))) a))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (fma.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) b_2) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) a) #s(literal -1 binary64) b_2) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 a) (+.f64 (/.f64 b_2 a) (sqrt.f64 (neg.f64 (/.f64 c a))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) b_2) a) #s(literal -1 binary64) (sqrt.f64 (neg.f64 (/.f64 c a))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) a)) b_2) a) #s(literal -1 binary64) (sqrt.f64 (neg.f64 (/.f64 c a))))))
#s(approx (sqrt (* (neg a) c)) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (-.f64 (*.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 b_2 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 a #s(literal -1 binary64))) b_2 (sqrt.f64 (neg.f64 (/.f64 c a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (pow.f64 #s(literal -1 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) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) b_2) (pow.f64 a #s(literal -1 binary64))) b_2 (sqrt.f64 (neg.f64 (/.f64 c a)))))
#s(approx (* (/ c b_2) -1/2) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ c b_2) (/.f64 c b_2))
#s(approx b_2 b_2)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) b_2 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* 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_2 b_2) (pow.f64 #s(literal -1 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 -1 binary64)) #s(literal -1 binary64)))) b_2) #s(literal 1 binary64)) b_2 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (* -2 b_2) (*.f64 #s(literal -2 binary64) b_2))
#s(approx (neg b_2) (neg.f64 b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b_2 b_2)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b_2 b_2)))) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64)) a) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) a)) (*.f64 b_2 b_2))))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b_2 b_2))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b_2 b_2)))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (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 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b_2 b_2))))) b_2))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) b_2)) (pow.f64 a #s(literal -1 binary64))) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 2 binary64) a))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 b_2) (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))) #s(literal 2 binary64))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (*.f64 (neg.f64 b_2) (+.f64 (/.f64 (sqrt.f64 (neg.f64 (/.f64 c a))) b_2) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) 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_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx c c)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 3 binary64)))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 3 binary64)))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* 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_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 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_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c)))) c))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) (*.f64 c a))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 b_2 a) c)) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) a)) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (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 5 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) c) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) c)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 c)) c)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* 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 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) b_2) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* 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 b_2 b_2) (sqrt.f64 #s(literal -1 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 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) c)) b_2) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c)))
#s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (sqrt.f64 (neg.f64 (/.f64 c a))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 b_2 a) c)) c)))

eval17.0ms (0.6%)

Memory
-24.4MiB live, 21.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 5 470 to 717 computations (86.9% saved)

prune12.0ms (0.4%)

Memory
16.8MiB live, 16.8MiB allocated; 0ms collecting garbage
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New1758183
Fresh156
Picked325
Done011
Total17916195
Accuracy
99.3%
Counts
195 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.2%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
32.1%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
10.4%
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
24.1%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c)) a)
20.5%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
34.4%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
26.0%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
28.0%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b_2 b_2)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b_2))
18.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))) (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a))) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) (/.f64 (neg.f64 b_2) a))))
37.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
23.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))))
32.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)) c))
15.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
21.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
15.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
29.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) (*.f64 c a))) c)))
Compiler

Compiled 747 to 497 computations (33.5% saved)

series33.0ms (1.1%)

Memory
-8.7MiB live, 37.5MiB allocated; 2ms collecting garbage
Counts
29 → 86
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
c
b_2
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a))
(/.f64 (neg.f64 b_2) a)
(neg.f64 b_2)
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
(neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))
(sqrt.f64 (neg.f64 (/.f64 c a)))
(neg.f64 (/.f64 c a))
(/.f64 c a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))))
(+.f64 (/.f64 (neg.f64 b_2) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)) c))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)) c)
(-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2))
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64)))
(*.f64 #s(literal -1/8 binary64) (*.f64 c a))
#s(literal -1/8 binary64)
(*.f64 c a)
(pow.f64 b_2 #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 1/2 binary64) b_2)
#s(literal 1/2 binary64)
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (/ (+ (* -1 b_2) (* -1 (* (sqrt (* a c)) (sqrt -1)))) a)))
#s(approx (/ (neg b_2) a) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx a #s(hole binary64 a))
#s(approx (neg (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (neg (/ c a))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (neg (/ c a)) #s(hole binary64 (* -1 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) #s(hole binary64 (/ (- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (/ -1/2 b_2)))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
#s(approx (/ (* -1/8 (* c a)) (pow b_2 3)) #s(hole binary64 (* -1/8 (/ (* a c) (pow b_2 3)))))
#s(approx (* -1/8 (* c a)) #s(hole binary64 (* -1/8 (* a c))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) #s(hole binary64 (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* -1/8 (/ (* a c) (pow b_2 3)))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* a (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (* -1/2 c) b_2) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx b_2 #s(hole binary64 b_2))
#s(approx (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 3))))
#s(approx (pow b_2 3) #s(hole binary64 (pow b_2 3)))
#s(approx (/ 1/2 b_2) #s(hole binary64 (/ 1/2 b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))))
#s(approx (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (/ (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#s(approx (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))))
#s(approx (* -1/2 c) #s(hole binary64 (* -1/2 c)))
#s(approx c #s(hole binary64 c))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))))
#s(approx (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) #s(hole binary64 (* c (- (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* c (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))))
#s(approx (neg (sqrt (neg (/ c a)))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (sqrt (neg (/ c a))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) #s(hole binary64 (* -1 (* c (- (/ b_2 (* a c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* -1 (* c (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))))))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
b_2
@0
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (* -1/2 c) b_2) (* -1/2 c) -1/2 c b_2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/ (neg b_2) a) (neg b_2) a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (neg (/ c a)))) (sqrt (neg (/ c a))) (neg (/ c a)) (/ c a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/ (* -1/8 (* c a)) (pow b_2 3)) (* -1/8 (* c a)) -1/8 (* c a) (pow b_2 3) 3 (/ 1/2 b_2) 1/2)
4.0ms
c
@-inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (* -1/2 c) b_2) (* -1/2 c) -1/2 c b_2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/ (neg b_2) a) (neg b_2) a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (neg (/ c a)))) (sqrt (neg (/ c a))) (neg (/ c a)) (/ c a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/ (* -1/8 (* c a)) (pow b_2 3)) (* -1/8 (* c a)) -1/8 (* c a) (pow b_2 3) 3 (/ 1/2 b_2) 1/2)
4.0ms
c
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (* -1/2 c) b_2) (* -1/2 c) -1/2 c b_2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/ (neg b_2) a) (neg b_2) a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (neg (/ c a)))) (sqrt (neg (/ c a))) (neg (/ c a)) (/ c a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/ (* -1/8 (* c a)) (pow b_2 3)) (* -1/8 (* c a)) -1/8 (* c a) (pow b_2 3) 3 (/ 1/2 b_2) 1/2)
3.0ms
a
@0
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (* -1/2 c) b_2) (* -1/2 c) -1/2 c b_2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/ (neg b_2) a) (neg b_2) a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (neg (/ c a)))) (sqrt (neg (/ c a))) (neg (/ c a)) (/ c a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/ (* -1/8 (* c a)) (pow b_2 3)) (* -1/8 (* c a)) -1/8 (* c a) (pow b_2 3) 3 (/ 1/2 b_2) 1/2)
3.0ms
c
@0
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (* -1/2 c) b_2) (* -1/2 c) -1/2 c b_2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/ (neg b_2) a) (neg b_2) a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (neg (/ c a)))) (sqrt (neg (/ c a))) (neg (/ c a)) (/ c a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/ (* -1/8 (* c a)) (pow b_2 3)) (* -1/8 (* c a)) -1/8 (* c a) (pow b_2 3) 3 (/ 1/2 b_2) 1/2)

rewrite93.0ms (3.2%)

Memory
16.0MiB live, 62.5MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04622861
04902657
023842613
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
115 → 171
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
c
b_2
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a))
(/.f64 (neg.f64 b_2) a)
(neg.f64 b_2)
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
(neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))
(sqrt.f64 (neg.f64 (/.f64 c a)))
(neg.f64 (/.f64 c a))
(/.f64 c a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))))
(+.f64 (/.f64 (neg.f64 b_2) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)) c))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)) c)
(-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2))
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64)))
(*.f64 #s(literal -1/8 binary64) (*.f64 c a))
#s(literal -1/8 binary64)
(*.f64 c a)
(pow.f64 b_2 #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 1/2 binary64) b_2)
#s(literal 1/2 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (/ (+ (* -1 b_2) (* -1 (* (sqrt (* a c)) (sqrt -1)))) a)))
#s(approx (/ (neg b_2) a) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx a #s(hole binary64 a))
#s(approx (neg (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (neg (/ c a))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (neg (/ c a)) #s(hole binary64 (* -1 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) #s(hole binary64 (/ (- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (/ -1/2 b_2)))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
#s(approx (/ (* -1/8 (* c a)) (pow b_2 3)) #s(hole binary64 (* -1/8 (/ (* a c) (pow b_2 3)))))
#s(approx (* -1/8 (* c a)) #s(hole binary64 (* -1/8 (* a c))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) #s(hole binary64 (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* -1/8 (/ (* a c) (pow b_2 3)))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* a (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (* -1/2 c) b_2) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx b_2 #s(hole binary64 b_2))
#s(approx (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 3))))
#s(approx (pow b_2 3) #s(hole binary64 (pow b_2 3)))
#s(approx (/ 1/2 b_2) #s(hole binary64 (/ 1/2 b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))))
#s(approx (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (/ (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#s(approx (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))))
#s(approx (* -1/2 c) #s(hole binary64 (* -1/2 c)))
#s(approx c #s(hole binary64 c))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))))
#s(approx (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) #s(hole binary64 (* c (- (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* c (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))))
#s(approx (neg (sqrt (neg (/ c a)))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (sqrt (neg (/ c a))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (/ (neg b_2) a) (neg (sqrt (neg (/ c a))))) #s(hole binary64 (* -1 (* c (- (/ b_2 (* a c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* -1 (* c (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))))))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) c)) (neg.f64 b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(*.f64 #s(literal -1/2 binary64) c)
(*.f64 c #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
c
b_2
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a))
(*.f64 (/.f64 b_2 a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b_2 a))
(/.f64 (neg.f64 (neg.f64 b_2)) (neg.f64 a))
(/.f64 (neg.f64 b_2) a)
(neg.f64 (/.f64 b_2 a))
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 b_2 #s(literal -1 binary64))
(neg.f64 b_2)
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(pow.f64 (/.f64 (neg.f64 c) a) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(*.f64 #s(literal -1 binary64) (/.f64 c a))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(/.f64 (*.f64 c #s(literal -1 binary64)) a)
(/.f64 (*.f64 #s(literal -1 binary64) c) a)
(/.f64 (neg.f64 c) a)
(/.f64 c (neg.f64 a))
(neg.f64 (/.f64 c a))
(/.f64 (neg.f64 c) (neg.f64 a))
(/.f64 c a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)))
(*.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) (/.f64 b_2 a)))
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a))) (-.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a)))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))) (-.f64 (/.f64 (neg.f64 b_2) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 3 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (-.f64 (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) (*.f64 (/.f64 (neg.f64 b_2) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) a))
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a))
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)) (/.f64 (neg.f64 b_2) a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(-.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (*.f64 #s(literal 1 binary64) (/.f64 b_2 a)))
(+.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a))
(+.f64 (/.f64 (neg.f64 b_2) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)) c))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)) c)
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 #s(literal 1/2 binary64) b_2))) (fma.f64 (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) b_2)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b_2) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) b_2) (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) b_2))
(fma.f64 (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 b_2 #s(literal -1 binary64))))
(fma.f64 #s(literal -1/8 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 b_2 #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2))
(+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 b_2 #s(literal -1 binary64))))
(*.f64 (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a))) (neg.f64 (pow.f64 b_2 #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal -1/8 binary64) c) a)
(*.f64 (*.f64 #s(literal -1/8 binary64) a) c)
(*.f64 #s(literal -1/8 binary64) (*.f64 c a))
(*.f64 (*.f64 c a) #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(*.f64 c a)
(*.f64 a c)
(*.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3/2 binary64)))
(*.f64 (*.f64 b_2 b_2) b_2)
(*.f64 b_2 (*.f64 b_2 b_2))
(pow.f64 b_2 #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 3 binary64)))
#s(literal 3 binary64)
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 b_2 #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) b_2)
(/.f64 #s(literal -1/2 binary64) (neg.f64 b_2))
#s(literal 1/2 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -1 binary64) (neg.f64 b_2)) a))
#s(approx (/ (neg b_2) a) (/.f64 (neg.f64 b_2) a))
#s(approx a a)
#s(approx (neg (sqrt (neg (/ c a)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (sqrt (neg (/ c a))) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (neg (/ c a)) (/.f64 (neg.f64 c) a))
#s(approx (/ c a) (/.f64 c a))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64)))) a))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)))
#s(approx (/ (* -1/8 (* c a)) (pow b_2 3)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))))
#s(approx (* -1/8 (* c a)) (*.f64 #s(literal -1/8 binary64) (*.f64 c a)))
#s(approx (* c a) (*.f64 c a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 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 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (*.f64 (fma.f64 (/.f64 (/.f64 c a) b_2) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (*.f64 (-.f64 (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a b_2))) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) b_2) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) a) #s(literal -1 binary64) b_2) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (/.f64 (/.f64 c a) b_2) #s(literal 1/2 binary64))) a)))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b_2))) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (-.f64 (*.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 b_2 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 a #s(literal -1 binary64))) b_2 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (pow.f64 #s(literal -1 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) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) b_2) (pow.f64 a #s(literal -1 binary64))) b_2 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (* -1/2 c) b_2) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx b_2 b_2)
#s(approx (neg b_2) (neg.f64 b_2))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (/.f64 (fma.f64 (*.f64 (*.f64 b_2 b_2) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -1/8 binary64))) (pow.f64 b_2 #s(literal 3 binary64))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 (fma.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 c a))) (pow.f64 b_2 #s(literal 3 binary64))))
#s(approx (pow b_2 3) (pow.f64 b_2 #s(literal 3 binary64)))
#s(approx (/ 1/2 b_2) (/.f64 #s(literal 1/2 binary64) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b_2 b_2)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -1/8 binary64)) (*.f64 b_2 b_2)))) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64)) a) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -1/8 binary64)) (*.f64 b_2 b_2))))) b_2))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b_2)) (pow.f64 a #s(literal -1 binary64))) b_2))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b_2)) (pow.f64 a #s(literal -1 binary64))) b_2))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b_2 b_2)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b_2))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 2 binary64) a))))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (*.f64 (neg.f64 b_2) (+.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b_2) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (*.f64 (neg.f64 b_2) (+.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b_2) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b_2 b_2)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) 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_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (* -1/2 c) (*.f64 #s(literal -1/2 binary64) c))
#s(approx c c)
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) c))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) (*.f64 c a))) c))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (*.f64 (-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) c))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (*.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 c b_2))) (*.f64 c c)))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (*.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 c b_2))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 b_2 a) c)) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) a)) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) c) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) c)))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 b_2 a) c)) c)))
#s(approx (neg (sqrt (neg (/ c a)))) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (sqrt (neg (/ c a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (neg.f64 (*.f64 (-.f64 (/.f64 (/.f64 b_2 a) c) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) c)))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (neg.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 c b_2))) c)))

eval20.0ms (0.7%)

Memory
-19.3MiB live, 26.3MiB allocated; 3ms collecting garbage
Compiler

Compiled 7 000 to 810 computations (88.4% saved)

prune16.0ms (0.5%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New2126218
Fresh448
Picked235
Done033
Total21816234
Accuracy
99.3%
Counts
234 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.2%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
32.1%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
10.4%
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
24.1%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c)) a)
20.5%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
34.4%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
26.0%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
18.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))) (-.f64 (/.f64 (neg.f64 b_2) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))))
37.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
34.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) b_2)) c))
37.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
15.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
21.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
15.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
23.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
29.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (*.f64 (-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) c)))
Compiler

Compiled 734 to 487 computations (33.7% saved)

series43.0ms (1.5%)

Memory
-0.8MiB live, 45.4MiB allocated; 3ms collecting garbage
Counts
34 → 174
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
(*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c)
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2))
(/.f64 #s(literal -1/2 binary64) b_2)
#s(literal -1/2 binary64)
b_2
c
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
(+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2))
(neg.f64 b_2)
#s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)
a
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
(*.f64 (neg.f64 a) c)
(neg.f64 a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
(-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(/.f64 (neg.f64 b_2) a)
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (neg.f64 c) a)
(neg.f64 c)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c))
(*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c)
(fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))
(/.f64 b_2 c)
#s(literal -1 binary64)
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))
(*.f64 (/.f64 a c) #s(literal -1 binary64))
(/.f64 a c)
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (/ -1/2 b_2)))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1/2 (/ (* a c) b_2))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* -1/2 (/ (* a c) b_2)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))))
#s(approx a #s(hole binary64 a))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (pow b_2 2)))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (+ (* -1 (* a c)) (pow b_2 2))))
#s(approx (* (neg a) c) #s(hole binary64 (* -1 (* a c))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (/ (+ (* -1 b_2) (* -1 (* (sqrt (* a c)) (sqrt -1)))) a)))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) #s(hole binary64 (/ (- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (/ (neg b_2) a) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (neg c) a) #s(hole binary64 (* -1 (/ c a))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) #s(hole binary64 (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (sqrt (* (/ a c) -1)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (* (/ a c) -1) #s(hole binary64 (* -1 (/ a c))))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* -1/8 (/ (* a c) (pow b_2 3)))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* a (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* a c))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* a (- (/ (pow b_2 2) a) c))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) #s(hole binary64 (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) #s(hole binary64 (* a (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (sqrt (* (/ a c) -1)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 3))))
#s(approx (/ -1/2 b_2) #s(hole binary64 (/ -1/2 b_2)))
#s(approx b_2 #s(hole binary64 b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (- (pow b_2 2) (* a c))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (/ b_2 c) #s(hole binary64 (/ b_2 c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (/ (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) #s(hole binary64 (* -1 b_2)))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) #s(hole binary64 (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) #s(hole binary64 (* -1 (/ b_2 c))))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) #s(hole binary64 (* b_2 (- (* (sqrt (/ a c)) (/ (sqrt -1) b_2)) (/ 1 c)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -2 b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) #s(hole binary64 (* -1 (* b_2 (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) b_2))) (/ 1 c))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx c #s(hole binary64 c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) #s(hole binary64 (/ (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* c (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* c (- (/ (pow b_2 2) c) a))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) #s(hole binary64 (* c (- (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* -1 (* c (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) #s(hole binary64 (* -1 (* c (- (/ b_2 (* a c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) #s(hole binary64 (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
a
@0
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/ -1/2 b_2) -1/2 b_2 c (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) (/ (neg b_2) a) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) (/ b_2 c) -1 (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c))
6.0ms
a
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/ -1/2 b_2) -1/2 b_2 c (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) (/ (neg b_2) a) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) (/ b_2 c) -1 (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c))
4.0ms
c
@0
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/ -1/2 b_2) -1/2 b_2 c (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) (/ (neg b_2) a) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) (/ b_2 c) -1 (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c))
4.0ms
c
@inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/ -1/2 b_2) -1/2 b_2 c (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) (/ (neg b_2) a) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) (/ b_2 c) -1 (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c))
4.0ms
c
@-inf
((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/ -1/2 b_2) -1/2 b_2 c (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) (/ (neg b_2) a) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) (/ b_2 c) -1 (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c))

rewrite175.0ms (6%)

Memory
4.4MiB live, 95.9MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08386201
08685724
044295598
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
208 → 278
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
(*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c)
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2))
(/.f64 #s(literal -1/2 binary64) b_2)
#s(literal -1/2 binary64)
b_2
c
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
(+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2))
(neg.f64 b_2)
#s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)
a
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
(*.f64 (neg.f64 a) c)
(neg.f64 a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
(-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(/.f64 (neg.f64 b_2) a)
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (neg.f64 c) a)
(neg.f64 c)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c))
(*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c)
(fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))
(/.f64 b_2 c)
#s(literal -1 binary64)
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))
(*.f64 (/.f64 a c) #s(literal -1 binary64))
(/.f64 a c)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (/ -1/2 b_2)))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1/2 (/ (* a c) b_2))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* -1/2 (/ (* a c) b_2)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))))
#s(approx a #s(hole binary64 a))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (pow b_2 2)))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (+ (* -1 (* a c)) (pow b_2 2))))
#s(approx (* (neg a) c) #s(hole binary64 (* -1 (* a c))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (/ (+ (* -1 b_2) (* -1 (* (sqrt (* a c)) (sqrt -1)))) a)))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) #s(hole binary64 (/ (- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (/ (neg b_2) a) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (neg c) a) #s(hole binary64 (* -1 (/ c a))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) #s(hole binary64 (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (sqrt (* (/ a c) -1)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (* (/ a c) -1) #s(hole binary64 (* -1 (/ a c))))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* -1/8 (/ (* a c) (pow b_2 3)))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* a (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* a c))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* a (- (/ (pow b_2 2) a) c))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) #s(hole binary64 (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) #s(hole binary64 (* a (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (sqrt (* (/ a c) -1)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 3))))
#s(approx (/ -1/2 b_2) #s(hole binary64 (/ -1/2 b_2)))
#s(approx b_2 #s(hole binary64 b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (- (pow b_2 2) (* a c))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (/ b_2 c) #s(hole binary64 (/ b_2 c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (/ (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) #s(hole binary64 (* -1 b_2)))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) #s(hole binary64 (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) #s(hole binary64 (* -1 (/ b_2 c))))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) #s(hole binary64 (* b_2 (- (* (sqrt (/ a c)) (/ (sqrt -1) b_2)) (/ 1 c)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -2 b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) #s(hole binary64 (* -1 (* b_2 (+ (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) #s(hole binary64 (* -1 (* b_2 (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) b_2))) (/ 1 c))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx c #s(hole binary64 c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) #s(hole binary64 (/ (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) #s(hole binary64 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* c (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* c (- (/ (pow b_2 2) c) a))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) #s(hole binary64 (* c (- (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) #s(hole binary64 (* -1 (* c (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) #s(hole binary64 (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) #s(hole binary64 (* -1 (* c (- (/ b_2 (* a c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) #s(hole binary64 (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))))))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
(*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c)
(*.f64 c #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2))
(/.f64 #s(literal -1/2 binary64) b_2)
(/.f64 #s(literal 1/2 binary64) (neg.f64 b_2))
#s(literal -1/2 binary64)
b_2
c
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b_2 #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2))) (neg.f64 a))
(/.f64 (fma.f64 #s(literal -1 binary64) b_2 #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (/.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2) a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (/.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2) a))
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2) a))
(/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2))) (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)))
(/.f64 (+.f64 (pow.f64 (neg.f64 b_2) #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2) #s(literal 3 binary64))) (fma.f64 b_2 b_2 (-.f64 (*.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) (*.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)))))
(fma.f64 #s(literal -1 binary64) b_2 #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2))
(fma.f64 b_2 #s(literal -1 binary64) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2))
(+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2) (neg.f64 b_2))
(+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2))
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 b_2 #s(literal -1 binary64))
(neg.f64 b_2)
#s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)
a
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) (neg.f64 a))
(/.f64 (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) a))
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) a))
(/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 b_2) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #s(literal 3 binary64))) (fma.f64 b_2 b_2 (-.f64 (*.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) (*.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))))
(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) (neg.f64 b_2))
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
(*.f64 (neg.f64 a) c)
(*.f64 #s(literal -1 binary64) (*.f64 c a))
(*.f64 (*.f64 c a) #s(literal -1 binary64))
(*.f64 c (neg.f64 a))
(neg.f64 (*.f64 c a))
(*.f64 #s(literal -1 binary64) a)
(*.f64 a #s(literal -1 binary64))
(neg.f64 a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a)) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a) (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)) (*.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))))
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (*.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(+.f64 (/.f64 (neg.f64 b_2) a) (*.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (/.f64 b_2 a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b_2 a))
(/.f64 (neg.f64 (neg.f64 b_2)) (neg.f64 a))
(/.f64 (neg.f64 b_2) a)
(neg.f64 (/.f64 b_2 a))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(pow.f64 (/.f64 (neg.f64 c) a) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(*.f64 #s(literal -1 binary64) (/.f64 c a))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 a))
(/.f64 (neg.f64 c) a)
(neg.f64 (/.f64 c a))
(*.f64 #s(literal -1 binary64) c)
(*.f64 c #s(literal -1 binary64))
(neg.f64 c)
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c))) c))) (neg.f64 a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c))) c)) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c))) c))
(*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c))) c)
(*.f64 c (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c))))
(fma.f64 (/.f64 (neg.f64 b_2) c) c (*.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) c))
(fma.f64 c (/.f64 (neg.f64 b_2) c) (*.f64 c (sqrt.f64 (/.f64 (neg.f64 a) c))))
(+.f64 (*.f64 (/.f64 (neg.f64 b_2) c) c) (*.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) c))
(+.f64 (*.f64 c (/.f64 (neg.f64 b_2) c)) (*.f64 c (sqrt.f64 (/.f64 (neg.f64 a) c))))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b_2) c) (/.f64 (neg.f64 b_2) c)) (*.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (sqrt.f64 (/.f64 (neg.f64 a) c)))) (-.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (/.f64 (neg.f64 a) c))))
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 b_2) c) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 b_2) c) (/.f64 (neg.f64 b_2) c) (-.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (sqrt.f64 (/.f64 (neg.f64 a) c))) (*.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (/.f64 (neg.f64 a) c))))))
(fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) c))
(fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 (neg.f64 b_2) c))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 c) (sqrt.f64 (/.f64 (neg.f64 a) c)))
(-.f64 (/.f64 (neg.f64 b_2) c) (*.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 (neg.f64 b_2) c))
(+.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (/.f64 (neg.f64 a) c)))
(/.f64 (neg.f64 b_2) (neg.f64 c))
(/.f64 b_2 c)
#s(literal -1 binary64)
(*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))
(pow.f64 (/.f64 (neg.f64 a) c) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (neg.f64 a) c))
(*.f64 (/.f64 a c) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(/.f64 (neg.f64 a) c)
(neg.f64 (/.f64 a c))
(/.f64 (neg.f64 a) (neg.f64 c))
(/.f64 a c)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2))
#s(approx a a)
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
#s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
#s(approx (* (neg a) c) (*.f64 (neg.f64 a) c))
#s(approx (neg a) (neg.f64 a))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) #s(literal -1 binary64) (neg.f64 b_2)) a))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (neg.f64 a) c))) a))
#s(approx (/ (neg b_2) a) (/.f64 (neg.f64 b_2) a))
#s(approx (sqrt (/ (neg c) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (neg c) a) (/.f64 (neg.f64 c) a))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c))) c))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c))))
#s(approx (sqrt (* (/ a c) -1)) (sqrt.f64 (/.f64 (neg.f64 a) c)))
#s(approx (* (/ a c) -1) (/.f64 (neg.f64 a) c))
#s(approx (/ a c) (/.f64 a c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 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 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (*.f64 (fma.f64 (/.f64 (/.f64 c a) b_2) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (*.f64 (-.f64 (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a b_2))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 b_2 a)) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 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) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 b_2 a))) a))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (sqrt.f64 (*.f64 (neg.f64 a) c)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))) a))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 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 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))) a))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 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 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))))) a))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) a) c) a))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (*.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) (/.f64 b_2 a))))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) (sqrt.f64 (*.f64 (neg.f64 a) c)))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) (*.f64 (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))) a))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) (sqrt.f64 (/.f64 (neg.f64 a) c)))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 c a))) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) (/.f64 b_2 a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) b_2) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.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 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) a) #s(literal -1 binary64) b_2) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (*.f64 (neg.f64 a) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (/.f64 (/.f64 c a) b_2) #s(literal 1/2 binary64)))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (*.f64 (neg.f64 a) (fma.f64 #s(literal 1/8 binary64) (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b_2)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 a) (+.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) (/.f64 b_2 a))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) a) #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.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 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) a)) b_2) a) #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b_2 b_2) a) c))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) (*.f64 (neg.f64 a) (+.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) (/.f64 b_2 a))))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c))))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) (*.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 b_2 a) c))))
#s(approx (sqrt (* (/ a c) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (-.f64 (*.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 b_2 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 a #s(literal -1 binary64))) b_2 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (pow.f64 #s(literal -1 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) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) b_2) (pow.f64 a #s(literal -1 binary64))) b_2 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (/.f64 (fma.f64 (*.f64 (*.f64 b_2 b_2) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -1/8 binary64))) (pow.f64 b_2 #s(literal 3 binary64))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 (fma.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 c a))) (pow.f64 b_2 #s(literal 3 binary64))))
#s(approx (/ -1/2 b_2) (/.f64 #s(literal -1/2 binary64) b_2))
#s(approx b_2 b_2)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) (neg.f64 b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) b_2 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -1 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_2 b_2) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))))) b_2) #s(literal 1 binary64)) b_2 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (neg b_2) (neg.f64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* 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 -1 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_2 b_2) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))))) (*.f64 b_2 b_2) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* 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 -1 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_2 b_2) (pow.f64 #s(literal -1 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 -1 binary64)) #s(literal -3 binary64)))) (*.f64 b_2 b_2))) (*.f64 b_2 b_2) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) (+.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) (neg.f64 b_2)))
#s(approx (/ b_2 c) (/.f64 b_2 c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b_2 b_2)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -1/8 binary64)) (*.f64 b_2 b_2)))) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64)) a) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -1/8 binary64)) (*.f64 b_2 b_2))))) b_2))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b_2 b_2)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b_2))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b_2 b_2))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) c (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b_2 b_2)))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (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 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 b_2 b_2))))) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))) #s(literal 1 binary64)) b_2))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 b_2 b_2)))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b_2)) (pow.f64 a #s(literal -1 binary64))) b_2))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) (/.f64 (neg.f64 b_2) a))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b_2)) (pow.f64 a #s(literal -1 binary64))) b_2))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) (neg.f64 b_2))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) b_2) #s(literal 1 binary64)) b_2))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) (/.f64 (neg.f64 b_2) c))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) (*.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) b_2) (pow.f64 c #s(literal -1 binary64))) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 2 binary64) a))))))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b_2 b_2)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 b_2) (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 b_2) (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 b_2) (+.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (*.f64 (neg.f64 b_2) (+.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b_2) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) (*.f64 (neg.f64 b_2) (+.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b_2) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) b_2) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) b_2) #s(literal -1 binary64) (pow.f64 c #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) 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_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx c c)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 3 binary64)))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 3 binary64)))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 3 binary64)))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c b_2))
#s(approx (neg c) (neg.f64 c))
#s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) (/.f64 (+.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) (neg.f64 b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) (*.f64 c a))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) c))
#s(approx (* (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) c) (*.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 c b_2))) (*.f64 c c)))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (*.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 c b_2))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c))) (/.f64 b_2 c)) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* 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_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c))) (/.f64 b_2 c))) c))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c))) c))
#s(approx (sqrt (- (* b_2 b_2) (* 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_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c)))) c))
#s(approx (sqrt (- (* b_2 b_2) (* 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_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 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_2 #s(literal 6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c))))) c))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (-.f64 (/.f64 (*.f64 b_2 b_2) c) a) c))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) (*.f64 c a))) c))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) (*.f64 (-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 b_2 a) c))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) a)) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) c) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 c b_2)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 c) (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) c) #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 c) (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 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))) c)) b_2) c) #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 c) (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_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (*.f64 (neg.f64 c) (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_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c)))))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 b_2 a) c))))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (- (/ (neg b_2) a) (sqrt (/ (neg c) a))) (*.f64 (neg.f64 c) (-.f64 (/.f64 (/.f64 b_2 a) c) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (sqrt (/ (neg c) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (* (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) c) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) #s(literal -1 binary64) (/.f64 b_2 c))))

eval30.0ms (1%)

Memory
-9.4MiB live, 37.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 11 051 to 1 366 computations (87.6% saved)

prune19.0ms (0.6%)

Memory
25.2MiB live, 25.2MiB allocated; 0ms collecting garbage
Pruning

17 alts after pruning (7 fresh and 10 done)

PrunedKeptTotal
New3113314
Fresh145
Picked145
Done066
Total31317330
Accuracy
99.4%
Counts
330 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.2%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
32.1%
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
10.4%
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
20.5%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
17.4%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) (sqrt.f64 (/.f64 (neg.f64 a) c))) c)) a)
10.7%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)))) c)) a)
34.4%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
26.0%
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
37.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
34.1%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) b_2)) c))
37.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
15.3%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
21.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
18.6%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a)) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))))))
15.4%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
23.2%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
29.5%
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (*.f64 (-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) c)))
Compiler

Compiled 1 320 to 495 computations (62.5% saved)

regimes35.0ms (1.2%)

Memory
-11.9MiB live, 34.6MiB allocated; 3ms collecting garbage
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) (sqrt.f64 (/.f64 (neg.f64 a) c))) c)) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)))) c)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b_2 b_2)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a)) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))) (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a))) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))) (/.f64 (neg.f64 b_2) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))) (-.f64 (/.f64 (neg.f64 b_2) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (*.f64 (-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) (*.f64 c a))) c)))
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

4 calls:

8.0ms
a
8.0ms
c
8.0ms
b_2
7.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
76.1%5(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
53.3%2a
83.9%3b_2
60.7%4c
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes6.0ms (0.2%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(approx (+ (* (/ b_2 c) -1) (sqrt (* (/ a c) -1))) (sqrt.f64 (/.f64 (neg.f64 a) c))) c)) a)
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

1 calls:

5.0ms
b_2
Results
AccuracySegmentsBranch
77.9%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.2%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

1 calls:

4.0ms
b_2
Results
AccuracySegmentsBranch
77.7%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.2%)

Memory
-41.0MiB live, 5.3MiB allocated; 1ms collecting garbage
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

1 calls:

5.0ms
b_2
Results
AccuracySegmentsBranch
74.2%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.2%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
Calls

2 calls:

3.0ms
b_2
2.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
51.7%3(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
71.3%3b_2
Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes3.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
Calls

1 calls:

2.0ms
b_2
Results
AccuracySegmentsBranch
69.1%2b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.3%)

Memory
11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
Calls

4 calls:

2.0ms
a
2.0ms
c
2.0ms
b_2
2.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
37.3%1(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
37.3%1a
37.3%1c
50.1%2b_2
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes2.0ms (0.1%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
Calls

1 calls:

2.0ms
b_2
Results
AccuracySegmentsBranch
50.1%2b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0.1%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (- (/ (* -1/8 (* c a)) (pow b_2 3)) (/ 1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
Calls

1 calls:

1.0ms
b_2
Results
AccuracySegmentsBranch
50.0%2b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (sqrt (* (/ c a) -1)) -1) (/ (neg b_2) a)) (/.f64 (neg.f64 b_2) a)))
Calls

4 calls:

1.0ms
b_2
1.0ms
c
1.0ms
a
1.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
15.4%1(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
15.4%1a
15.4%1c
15.4%1b_2
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch38.0ms (1.3%)

Memory
-18.9MiB live, 30.0MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
9.336540902708683e-122
1.072671234768865e-116
15.0ms
-1.0446027389198985e+96
-1.3792769991973324e+92
Samples
16.0ms237×0valid
3.0ms26×1valid
3.0ms45×0invalid
1.0ms2valid
Compiler

Compiled 544 to 450 computations (17.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sqrt: 3.0ms (25.3% of total)
ival-mult!: 3.0ms (25.3% of total)
ival-div!: 2.0ms (16.9% of total)
ival-neg: 2.0ms (16.9% of total)
adjust: 1.0ms (8.4% of total)
ival-sub!: 1.0ms (8.4% of total)
ival-add!: 1.0ms (8.4% of total)

bsearch18.0ms (0.6%)

Memory
16.5MiB live, 16.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.336540902708683e-122
1.072671234768865e-116
15.0ms
-7.163979483548755e-96
-7.1204160449462214e-102
Samples
8.0ms144×0valid
2.0ms30×0invalid
Compiler

Compiled 664 to 529 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult!: 2.0ms (36.6% of total)
ival-sqrt: 1.0ms (18.3% of total)
ival-neg: 1.0ms (18.3% of total)
ival-div!: 1.0ms (18.3% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.336540902708683e-122
1.072671234768865e-116
1.0ms
-7.163979483548755e-96
-7.1204160449462214e-102
Compiler

Compiled 682 to 547 computations (19.8% saved)

bsearch32.0ms (1.1%)

Memory
-18.9MiB live, 26.8MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
9.336540902708683e-122
1.072671234768865e-116
15.0ms
-7.163979483548755e-96
-7.1204160449462214e-102
Samples
13.0ms199×0valid
3.0ms52×0invalid
2.0ms19×1valid
1.0ms2valid
Compiler

Compiled 700 to 565 computations (19.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub!: 3.0ms (25.3% of total)
ival-mult!: 3.0ms (25.3% of total)
ival-sqrt: 2.0ms (16.9% of total)
adjust: 1.0ms (8.4% of total)
ival-add!: 1.0ms (8.4% of total)
ival-neg: 1.0ms (8.4% of total)
ival-div!: 1.0ms (8.4% of total)

bsearch42.0ms (1.4%)

Memory
-14.0MiB live, 31.3MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.3596508705025177e-204
4.359445850306278e-197
13.0ms
-2.794381379131932e-124
-3.831571750791763e-126
Samples
13.0ms229×0valid
6.0ms98×0invalid
3.0ms26×1valid
0.0ms2valid
Compiler

Compiled 610 to 489 computations (19.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult!: 4.0ms (32.6% of total)
ival-sqrt: 3.0ms (24.5% of total)
ival-neg: 2.0ms (16.3% of total)
ival-div!: 2.0ms (16.3% of total)
adjust: 1.0ms (8.2% of total)
ival-sub!: 1.0ms (8.2% of total)
ival-add!: 1.0ms (8.2% of total)

bsearch22.0ms (0.7%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
1.2145596803707099e-288
7.618219182067791e-274
Samples
9.0ms160×0valid
3.0ms61×0invalid
Compiler

Compiled 376 to 306 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult!: 2.0ms (29.3% of total)
ival-sqrt: 1.0ms (14.7% of total)
ival-add!: 1.0ms (14.7% of total)
ival-neg: 1.0ms (14.7% of total)
ival-div!: 1.0ms (14.7% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2145596803707099e-288
7.618219182067791e-274
Compiler

Compiled 526 to 386 computations (26.6% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2145596803707099e-288
7.618219182067791e-274
Compiler

Compiled 526 to 386 computations (26.6% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2145596803707099e-288
7.618219182067791e-274
Compiler

Compiled 666 to 486 computations (27% saved)

derivations76.0ms (2.6%)

Memory
-3.6MiB live, 41.9MiB allocated; 4ms collecting garbage
Stop Event
fuel
Compiler

Compiled 560 to 96 computations (82.9% saved)

preprocess54.0ms (1.8%)

Memory
18.0MiB live, 65.8MiB allocated; 8ms collecting garbage
Compiler

Compiled 1 324 to 264 computations (80.1% saved)

end0.0ms (0%)

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

Profiling

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